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Work Community, & Family, Vol. 13, No. 2, May 2010, 189204 Cleaning the sink: exploring the experiences of Australian lesbian parents reconciling work/family responsibilities Margot Rawsthorne* and Mayet Costello Social Work & Policy Studies Program, Room 728, Education Building A35, University of Sydney, Sydney, NSW 2006, Australia (Received 3 June 2007; nal version received 15 July 2008) In many...

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Work Community, & Family, Vol. 13, No. 2, May 2010, 189204 Cleaning the sink: exploring the experiences of Australian lesbian parents reconciling work/family responsibilities Margot Rawsthorne* and Mayet Costello Social Work & Policy Studies Program, Room 728, Education Building A35, University of Sydney, Sydney, NSW 2006, Australia (Received 3 June 2007; nal version received 15 July 2008) In many households across Australia the question Who cleans the sink? symbolises an undertow of disquiet. The gendered patterning of household tasks remains resolutely resistant to feminist challenges. Despite three decades of research and policy interest in assisting Australian families reconcile work and family life, this interaction continues to be a source of stress and conflict. This paper aims to examine a work/family arrangement under circumstances in which the traditional gender division of labour is removed in lesbian family households. It draws on qualitative semi-structured interviews with 17 lesbian parents living in New South Wales, Australia. Thematic analysis was undertaken to identify patterns of work and family arrangements in these lesbian-parented families. The findings suggest that family stress and conflict are lessened in some lesbian households through the de-stabilising of scripts concerning traditional gendered division of labour. The paper aims to contribute to the small but growing lesbian-parenting literature in Australia and also to the broader work/ family literature. Keywords: work; family; lesbian; Australian En muchos hogares a traves de Australia, la cuestion que limpia el fregadero? Simboliza una resaca de inquietud. El patron de genero de las tareas del hogar sigue siendo decididamente resistentes a desafos feministas. A pesar de tres decadas de investigacion y las polticas de interes para ayudar a las familias australianas conciliar la vida laboral y familiar esta interaccion sigue siendo una fuente de tension y conflicto. Este documento tiene por objeto examinar el trabajo y la familia de acuerdo a las circunstancias en las que la tradicional division sexual del trabajo se quita en familias lesbianas. Se basa en cualitativo de entrevistas semi-estructuradas con 17 padres de lesbianas que viven en Nueva Gales del Sur, Australia. Analisis tematico se realizo para identificar patrones en el trabajo y la familia en estos acuerdos lesbianas criaron familias. Los resultados sugieren que el estres familiar y el conflicto se reduce en algunos hogares de lesbianas a traves de la desestabilizacion de las escrituras tradicionales de genero en relacion con la division del trabajo. El documento tiene por objeto contribuir a la pequena pero creciente literatura lesbiana la crianza de los hijos en Australia, pero tambien a la mas amplia de trabajo y familia literatura. Palabras claves: trabajo; familia; lesbianas; Australia *Corresponding author. Email: m.rawsthorne@edfac.usyd.edu.au ISSN 1366-8803 print/ISSN 1469-3615 # 2010 Taylor & Francis DOI: 10.1080/13668800903259777 http://www.informaworld.com 190 M. Rawsthorne and M. Costello Introduction The past decade has seen enormous research and policy interest within Australia and internationally in helping families reconcile the interaction between work and family responsibilities. Not surprisingly, to date the research and literature have focused on arrangements in heterosexual households. The lack of progress towards more equitable and sustainable work/family arrangements highlighted by recent Australian studies attest to the embedded nature of gendered patterns of work and care (Pocock, 2003; Smyth, Rawsthorne, & Siminski, 2005; Summers, 2003). This article, drawing on the experiences of lesbian parents, explores the de-stablisation of these gendered patterns. It argues that negotiation and valuing care work are key personal and political strategies for reconciling work and family responsibilities. Australian work/family research and policy interest have been driven by a range of factors, including: the revolution in womens workforce participation; the structural ageing of the population; concern about childhood development; concern about time-pressure; and concern about human rights (Campbell & Charlesworth, 2004; Craig, 2004; Pocock, Skinner, & Williams, 2007; Smyth et al., 2005; Toohey, 2005; von Doussa, 2007). This research suggests that the experience of parents is shaped by various sites and factors, including: the home (division of labour, support networks and extended families); paid work (earning capacities, nature of work, workplace cultures and family friendly practices); childcare (accessibility, affordability and quality); and social policy (maternity leave, childcare benefits and other entitlements). Despite the research and policy interest, reconciling work and family responsibilities continues to be a source of family stress, particularly for mothers (Pocock, 2003; Smyth et al., 2005; von Doussa, 2007). Work/family conflict arises when the demands associated with work are incompatible with demands associated with family and home life (Greehaus and Parasurman cited in Tuten & August, 2006, p. 587). Adverse effects from work/ family conflict include poor health, stress, burnout, limited career development and life dissatisfaction (Tuten & August, 2006; von Doussa, 2007). Working mothers have been shown to be particularly vulnerable to work/family conflict (von Doussa, 2007, p. 49). In the literature three forms of workfamily conflict are identified: time-based conflict; strain-based conflict; and behaviour-based conflict (Tuten & August, 2006, p. 580). Time-based conflict arises when the physical time taken by work erodes time available for family life. Strain-based conflict arises due to tiredness and distraction caused by work affecting family life. Behaviour-based conflict arises when the behaviour expected in one setting conflicts with behaviour in the other. Key predictors of work/family conflict include hours worked per week, job role autonomy and the degree of support managers offer to help parents meet multiple demands (Tuten & August, 2006, p. 578). However, Pocock et al. (2007, p. 3) caution that we should be mindful of the complex range of actors and forces at work in constructing work-life outcomes. Whilst in the past some writers conceived work and family as two separate domains, most now understand them as essentially inseparable (Pocock et al., 2007, p. 1; Tuten & August, 2006, p. 580). For women in heterosexual partnerships, parenthood often entrenches gender inequality and exacerbates the gendered division of labour (Dunne, 1998, p. 4; Pocock, 2003; Smyth et al., 2005). Gender practices within heterosexual home have been shown to be very resistant to change (Bittman, England, Folbre, Sayer, Community, Work & Family 191 & Matheson, 2003). Mens lack of participation in caring and domestic work (or gendered household cultures and practices) continues to be identified as a major barrier to womens work/life outcomes (Pocock et al., 2007, p. 1; von Doussa, 2007, pp. 4849). A recent heterosexual work/family study (Smyth et al., 2005) highlighted the resentment and angst within participants relationships created by their perceptions of unequal responsibilities in relation to caring and domestic work. Many women in this heterosexual study described domestic work as a drudge, thankless, mundane and repetitive (Smyth et al., 2005, p. 44). The study noted that: The womens home responsibilities appeared to be constant, regardless of the age of their children or the extent of their workforce participation. One woman who worked full-time after her husband went part-time found, to her dismay that nothing had changed in relation to domestic duties and she still did everything. Whilst most of the women accepted a traditional division of household labour, this did not mean that they were happy with this situation. (Smyth et al., 2005, p. 44) The implicit assumptions of heterosexuality in previous work/family research have limited the capacity to identify obstacles to egalitarian relationships (Dunne, 1998, pp. 12). Many lesbian couples conceive and construct themselves as a critique of traditional heterosexual relations and seek to base power relations within their relationship on equality. Further, the division of labour between lesbian couples is negotiated by people who occupy the same position on the gender hierarchy. Consequently, studies of lesbian-parented families: . . . present a marvellous opportunity to see what is achievable when gender polarisation as a structuring principle is absent and this has a broad applicability for women, men and families regardless of their sexuality. (Dunne, 1998, p. 5) Thus, research into the work/family arrangements of lesbian parents is likely to offer important insights into work/family arrangements in Australia both in lesbianparented families specifically and all families generally. Work/family arrangements in lesbian-parented families There is an expanding literature on Australian lesbian-parented families (Lindsay et al., 2006; McNair et al., 2008; McNair, Dempsey, Wise, & Perlesz, 2002; Mikhailovich, Martin, & Lawton, 2001; Millbank, 2002, 2003; Perlesz & McNair, 2004). A recent welcome addition to the literature has focused on lesbian-parented families experiences of service systems, such as education and health (Lindsay et al., 2006; McNair et al., 2008; Perlesz & McNair, 2004; Rawsthorne, 2009; West, 2007). A larger and longer body of research exists in the UK and the USA, including a focus on work/family arrangements (Dunne, 1998, 2000; Lewin, 1993; Patterson, 1992, 1995, 1998; Sullivan, 1996; Tasker & Golombok, 1998; Tuten & August, 2006). The work/family arrangements in lesbian-parented families have been touched upon in one Australian study (McNair et al., 2002). Accordingly, this article seeks to contribute to the expanding literature on the experiences of lesbians reconciling work and family responsibilities, as well as the broader work/family literature. In Australia, demographic data on lesbian parents have historically been poor with no question on sexuality in the national census (Millbank, 2003, p. 548). Since 1996 this has improved somewhat with the capturing of same sex data in the Australian Bureau of Statistics (ABS) Household & Population Census although 192 M. Rawsthorne and M. Costello this is limited to co-habiting same sex parents who choose to identify as de facto (Rawsthorne, 2008, p. 1). These data, however, exclude those couples not co-habiting, lesbians not currently in a relationship they would describe as de facto or those who do not wish to be identified in the Census as a same sex co-habiting couple. Accordingly, the ABS Census data need to be used with caution as it provides only a limited insight into the demographics of the lesbian community. The available 2001 ABS Census data suggest that lesbian parents are a minority, with over four-fifths of lesbian co-habiting couples having no children. Lesbianparented families were of a similar size to the general community, with most having two or less children. New South Wales, and the Sydney region in particular, has historically been the centre of the lesbian community in Australia. Data from the 2001 ABS Census confirm this with nearly 40% of lesbian couples identified in Australia living in New South Wales (Rawsthorne, 2008, p. 3). The 2001 ABS Census data suggest that lesbians with parenting responsibilities have high levels of labour-force participation (Rawsthorne, 2008, pp. 56). In 2001, the participation rate of women with dependent children generally was 64.5%, whilst for lesbian parents it was 75.8% and for lesbians without children it was 90.8%. Over half of lesbian parents (56.8%) worked on a full-time basis compared to 40.5% of women with dependent children according to the 2001 ABS Census. Conversely, over half (54.5%) of all women with dependent children worked part time compared to 37.9% of lesbian parents. The impact of raising children (or what some refer to as the parenting penalty) appears to affect lesbian parents less, with 22.3% withdrawing from the labour force compared to 35.5% of women with dependent children. In terms of work/family responsibilities, this data would suggest that Australian lesbian parents are not using part-time employment to the same extent as other women to reconcile these demands. Within the international literature a number of explanations are put forward to explain these differences. In contrast to heterosexual women, where gender stereotypes and expectations may hamper education and career development, a lesbian lifestyle both necessitates and facilitates financial self-reliance (Dunne, 1998, p. 4). Lesbian women, particularly those aware of and embracing their sexuality at a young age, never expect financial dependence on men or the possibility that their work may be seen as that of a secondary or supplementary income in the same way heterosexual women might. Dunnes (1998, p. 4) research in the UK indicates that many lesbian women perceive their relationships as one of co-independence, where their education and employment are facilitated by support from their partner and the more egalitarian household division of labour negotiated. She found that lesbian-parented families show: . . . a distinct pattern of equality and sharing compared to heterosexual parents, with corresponding positive well-being for the partners relationship with each other, and the childs adjustment. (Dunne, 2000, p. 31) Co-parents (non-biological parents) were more likely than biological mothers to be in full-time employment, although they were less likely than fathers in heterosexual families to be in full-time employment (Dunne, 2000, p. 15). Likewise, Tasker and Golmobok (1991) argue: . . . co-mothers may be more willing than most fathers to compromise paid work in order to take on more involvement in parenting. (Tasker & Golombok, 1991, p. 65) Community, Work & Family 193 A study undertaken in the USA also found that lesbian parents evenly shared household labour, childcare and family decision-making (Patterson, 1995). Lesbian parents appear to reconcile work and family responsibilities following an egalitarian principle of self-conscious mutual understanding and sharing of both rewards and responsibilities (Sullivan, 1996, p. 757). Despite this, Tuten and August (2006, p. 590) looking specifically at work/family interaction conclude that lesbian mothers, as with heterosexual mothers, struggle with work-family conflict. They go on to argue that in addition to the hours of work, role autonomy, organisational attitudes and policies, being out at work seems to be a positive coping strategy (Tuten & August, 2006, p. 590). It is unclear whether Australian lesbian-parented families are following similar trends to those evident in international research. Accordingly, this paper now turns to report the findings of a small-scale Australian study before concluding with a discussion. Methodology Studying the experiences and arrangements of lesbian-parented families sought to throw new light on the factors shaping parents experiences in contemporary Australia. Semi-structured interviews explored the life and work decisions made by lesbians with parenting responsibilities living in New South Wales. The key research questions of the study were: What arrangements do lesbian parents make to meet their home/work responsibilities? How do lesbian women currently experience their work/home balance? What factors facilitate or inhibit balancing home/work responsibilities? Studying the experiences of a relatively small, stigmatised group has many challenges (McNair et al., 2002). Recruitment strategies with hard-to-reach communities such as lesbian parents tend to rely more on informal processes to generate purposive samples rather than a more randomised or representative sample (Bradford et al., 2001 cited in McNair et al., 2002, p. 40). Accordingly, an advertisement seeking participation in the study was disseminated through lesbian websites and services. The results from this small-scale qualitative study cannot be generalised but provide the beginnings on which further knowledge can be built. Semi-structured interviews were undertaken with 21 women, mostly on an individual basis, to explore participants understandings and experiences of lesbian parenting, reconciling work/family arrangements and social policy. The interview schedule covered: paid work; childcare arrangements; home duties; approaches to parenting; lesbian identity; formal and informal supports; and social policy. Qualitative research enables the exploration of social phenomena without defining or limiting potential responses. Through qualitative interviewing, the diversity and richness of participants experiences shaped by social processes are unearthed. Accordingly, this study documents participants shared or common understandings, experiences, opinions, attitudes and feelings. The interviews ranged in length from 45 to 90 minutes and were recorded with permission. The interviews were professionally transcribed and a thematic analysis was undertaken with the support of qualitative data analysis computer software (NVivo7). 194 M. Rawsthorne and M. Costello The data were coded as themes emerged from the transcripts using descriptive, topic and analytical coding (Richards, 2005, pp. 85103). Descriptive attributes enabled exploration of differences in experiences between participants, for example, households with both parents working full time and households with one parent working full time and the other part time. The thematic analysis was tested in two ways: initially with the research assistant and finally with the participants themselves. Broad themes were identified jointly with the research assistant and coding was undertaken independently with a view to maximising the robustness of the analysis. Regular meetings were held during the analysis phase to clarify and discuss the emerging conclusions. Additionally, all participants received an interim report of the study seeking their comments on the trustworthiness of the conclusions drawn from the interviews. Most responded to the interim report positively, whilst two couples felt the report had not fully reflected their experiences. These two couples experiences were somewhat exceptional among the participants and were included as such in the final report (Rawsthorne, 2008). In reporting the participants experiences, this article adopts the following definitions: most is used to refer to more than three-quarters of families; many is used to refer to at least half of families; some is used to refer to less than half; and a small number is used to refer to three or less families. The quotes have been selected to support the specific argument and are not seeking to represent the views and experiences of other participants. All names used in this article are pseudonyms to ensure confidentiality of participants. The participants Twenty-one lesbians with parenting responsibilities participated in the study. In total, the experiences of 17 lesbian-parented families reconciling work/family responsibilities were included. In most households only one parent was interviewed, whilst in three cases both parents asked to be interviewed. The couple interviews provided a more complete picture of household dynamics, enabling both partners experiences to be more fully included. Those women interviewed alone often made statements such as from my perspective, although Im not sure what my partner would say. In six families the sole biological parent was interviewed and in the remainder either both parents or both biological parents and co-parents were interviewed. Over half of the families lived outside of Sydney, mostly in the Illawarra and the Blue Mountains. Over three-quarters of the lesbian parents interviewed were aged between 36 and 45 years. Two participants were aged between 26 and 35 years, and two between 46 and 55 years. Four women were raising children alone, ones partner lived separately and the remainder co-habited. The decision to include sole parents reflects a desire to understand what decisions lesbian women with sole care responsibilities make in relation to work and family. Additionally, the interviews with sole parents included their work/family arrangements prior to separation. In seven families the youngest child was in pre-school, in four families the youngest child was a primary aged child and in another four families the youngest child was a teenager. Seven families had only one child at the time of the interview, five had two children and four had three or more children. An equal number of children were conceived within lesbian relationships as heterosexual relationships, with one Community, Work & Family 195 household having children conceived both within a lesbian relationship and heterosexual relationships. The lesbian parents in the study were highly qualified, with most holding a bachelors degree or higher. Health care dominated the occupations of participants; however, there was a wide range of other prestigious occupations such as journalism, public relations, communications, science management and law. Nearly two-thirds of participants were employed in the public sector with the remainder working in the private sector, the non-government sector or self-employed. Findings Participants experiences in relation to reconciling work and family responsibilities are presented below framed by the key research questions of the study. Workforce participation of lesbian parents At the time of the interview the majority of participants were in the labour force, with half of the households having both parents working more than 30 hours per week. Among the participants four were not currently working, two of them were sole parents and one was receiving a disability pension arising from a work-related injury. In one coupled household, neither parent was in paid employment. Most participants worked in prestigious, well-paying occupations with substantial work histories. It is important to note that privileged workforce positions (or good quality jobs) are associated with better worklife outcomes (Pocock et al., 2007, p. 13). Paid work played an important part in the participants lives. Many participants had clear professional identities and viewed paid work as far more than a source of income. For most participants there was an assumption of workforce participation, even when shaped by family responsibilities. This assumption reflected not only the economic and social reality of lesbian women but also a psychological rejection of dependency either on another individual or the State: Were both quite ambitious women . . . I positioned myself when you talk about career planning in order to get to this point, so I mean thats been strategically developed in terms of taking on positions and doing particular types of work and putting myself out there. I do training and I do clinical supervision and I work as a trainer and supervisor, and then I do private practice work but theyve been strategic things that Ive built up to be able to go okay, I need my life to look like this, what do I need to do to get there?, and I think that the profession allows me to do that. (Vicky) Among the participants the biological parent of the youngest child was less likely to be working full time compared to the co-parent, particularly during the early years of a childs life. This work/family arrangement is similar to the arrangements within the general community. At the end of maternity and other leave entitlements many families had both parents in the workforce on a full-time basis, which contrasts with the dominant Australian pattern of household workforce participation of a mix of part-time/full-time paid work (Pocock et al., 2007, p. 8). The participants had a range of experiences in relation to accessing leave around the time of birth. Most, however, were able to take extended leave (12 or more months) around the birth of the child. On a number of occasions co-parents also took extended leave (up to 6 months) as well. Much of this leave was paid leave, 196 M. Rawsthorne and M. Costello drawing on a combination of paid (half time) maternity leave and accumulated annual leave. About half of the participants (eight biological mothers and six co-parents) were employed in public sector positions prior to and following birth. These women had access to good leave (both paid and unpaid), maternity and recreational leave. Their rights were often spelled out clearly in policies, which in most cases were supported by organisational culture. Other participants (those self-employed or contractors) positioned themselves to maximise their control and flexibility in their work arrangements after the birth: While I was on maternity leave the manager that I had negotiated coming back with, changed about four times. [laughter] Every time I rang up, thered be a new one. Well, last week he said I could come back these days. So, its obviously the structure in the place and the culture of it, and its quite a small [government] department now. They have a really good agency agreement. (Susan) Whilst many participants were able to negotiate their preferred return to work arrangements (possibly reflecting their workplace power), this was not always the case. Like their heterosexual sisters, only a minority viewed returning to work on a flexible basis as a right. Many came to agreements with employers after considerable negotiation and compromise (on their part), even in the context of supportive policies. The culture of the organisation was really important in enabling parents to reconcile work and family responsibilities as the following quote indicates: I think those provisions are essential but the culture of the organisation has an impact on how or whether people feel they can actually take advantage of them because being entitled to flexi time is one thing, being encouraged to take flexi time holidays, and to have no repercussions when you apply for [carers] leave or sick leave or anything like that, is different. (Helen) Lesbian womens experience of work/home interactions The interaction between work/home responsibilities can be conceptualised as moving along a continuum from adverse spillover to coping to mutually enriching. This continuum of experiences was evident among participants, who were aware of the dynamic and fluid nature of work/family interactions. Four families were currently experiencing serious adverse spillovers from work into family life, creating tensions. Expectations, aspirations and lived cultures appeared important here. These families were all raising children conceived within their current lesbian relationship and had a strong commitment to shared coparenting. or Work and family life were interacting in such a way that these women were finding it difficult to live up to their own expectations and aspirations of parenthood. These families also exhibited lower levels of time and task autonomy and flexibility in their paid work, which have well-established affects on worklife outcomes (Pocock et al., 2007, p. 11): I mean, I think thats pretty much the pattern of work life generally, and it at times feels, like, impossible to really do both very well, to have a family and to have work. I guess I come to accept the imperfections in my life . . .I think its very hard to find a situation thats perfect cause as long as youre working and have small children, I think theres always going to be a conflict. (Kerry) Community, Work & Family 197 One-third of participants (with children across the age spectrum) used coping strategies to shape their work lives around their family responsibilities. These steps included changing jobs, reducing hours, not taking promotional opportunities or delaying career aspirations. These steps were viewed as positive changes in order to better reconcile work and family responsibilities: In terms of the way its working in with my family life now, its going very well. I dropped the parts of my work that had, you know, clear deadlines and all that kind of stuff. It doesnt really matter when I do it that often. (Pam) In four households work and family were viewed as mutually enriching, enabling them to parent and develop their careers. In these households parenting and working were rewarding. In general, they held senior responsible positions drawing on their lengthy work histories. This workforce status or power had enabled them to create work/family interactions that nourished them as both parents and workers: Im in a position where people are giving me work that I like doing and Im good at and letting me take on lots of interesting things so they recognise what I can do. I love the work. (Debbie) What factors facilitate or inhibit balancing home/work responsibilities? The interviews highlighted the complex range of actors and forces at work in constructing worklife outcomes (Pocock et al., 2007, p. 3). Among participants, work and family lives interacted in complex and dynamic ways, revealing a similar fluidity to those of heterosexual women (Smyth et al., 2005). Workplace culture, including the ability to be safely out, affected participants experiences. A number of participants highlighted the workplace divide between those with children and those without: But, look, I think, I think sometimes, it depends, there are some people in the organisation who are very supportive and very understanding and theyre generally the people whove been parents themselves. I think sometimes when people see you walking in at nine, walking out at 3.30, maybe its me projecting, but I feel like theres a, a bit of attitude that its nice, its very nice for you to do that, oh, how nice to just have a three day week. (Kerry) In additional to workplace culture, access to and support from a network of friends and family was also clearly important in reconciling work/family responsibilities. The interviews suggest there was extensive use of informal childcare among the participants, with grandparents and friends taking active roles in caring for children. Participants, however, repeatedly returned to the valuing of unpaid caring work as central to their experiences, making a distinction with the experiences of heterosexual women. Accordingly, the remainder of this article will explore the impact of unpaid labour (or who cleans the sink) in shaping participants experiences of reconciling work/family responsibilities: I remember when we first moved in together, when we first got together and I went to work one day and came home and shed cleaned the sink and stuff and I was like god someones done it! (Mary) This study found a strong commitment to sharing the rewards and responsibilities of parenting among participants, including the functioning of the household. The type 198 M. Rawsthorne and M. Costello of resentment and angst concerning household tasks reported by Smyth et al. (2005) was absent from the lives of many of the lesbian women interviewed for this study. As women, the lesbian parents interviewed expected to be involved in household tasks and caring roles. It was assumed these responsibilities would be shared and not the domain of one parent: Well our approach was shaped by the fact that both of us throughout our lives, expected to be the person doing it. I think having lived with a man before where a lot of stuff just automatically came back to me for some strange reason yeah I think its very different. So yeah, I think thats different, we share things more I think. (Mary) The arrangements of lesbian parents household and care tasks showed three general patterns: division of labour shaped by preference; those families shaped along more traditional divisions of labour; and those families who were flexible and adaptable in their arrangements. These patterns appeared to be influenced by a range of other factors, particularly labour-force status, having pre-school children, commuting and biological relations. These patterns also exhibited differing levels of anxiety or conflict concerning household and care tasks, with those enacting more traditional divisions of labour experiencing the greatest level of conflict. In many of the households the division of unpaid work was actively negotiated. This was in marked contrast to Smyth et al.s (2005) findings concerning the entrenched nature of gendered household practices in heterosexual households. The lack of assumptions built into unpaid work arrangements assisted in the reconciliation of work and families responsibilities. In six families, individual preference appeared to shape decisions about household tasks. When couples preferences complemented each other this enabled an easy settlement in the household. In two households, preferences did not complement and there was a degree of resentment about the partners cleanliness. Whilst there was considerable evidence of preferences in household duties, these did not sort easily into traditionally feminine or masculine roles and behaviours (Nelson, 1996, p. 110). The lack of men in lesbian households was often a source of humour among participants in relation to the tasks traditionally viewed as masculine (such as working with power tools). In households where preferences complemented each other, household tasks just got done. Some participants in couple interviews were surprised to find a gap between their understanding and the reality of household task allocations. This gap did not create angst between the couples but pointed to the low priority household tasks had in their families. One participant commented, I see a broom, I sweep, no big deal: We just do what we like. I like to cook so Ive just always done the cooking. In terms of the housework there are things that we do specifically, like it sounds stupid, I clean the bathroom cause I like to clean the bathroom, I hate doing the floors, so Trudy does the floors. She makes the beds, I cant be bothered making the bed. (Vicky) A small number of households (three) enacted more traditional divisions of labour. All had pre-school children, one parent working full time and the other part time. The parent working part time was also the birth mother. These three households tended to mirror the dominant pattern employed by Australian families to reconcile work and family responsibilities; one partner working full time, with minimal household responsibilities, and the other working part time, who carried a greater share of caring and household tasks: Community, Work & Family 199 We are interesting in comparison with most other couples that we know in that we are much more divided. Nellie earns quite a lot more money than I do and I do a lot more of the house stuff. I do virtually all the cooking. And sometimes elements of that are annoying. The drudgery side I think I do all the washing virtually too and thats annoying but that is also kind of a by-product of being the person whos home more. (Carrie) In these households their experiences were much more similar to the heterosexual women (Smyth et al., 2005, p. 44). The partner framed as the home maker expressed concern about the other partner missing out. An undercurrent of guilt was evident within the relationship for not doing their share or contributing enough, for not being either a good mother or a good worker. Within these lesbian households there also appears to be the added dimensions of dependency and biology. For the women who found themselves in more traditional heterosexual patterns, financial and psychological dependency was a source of distress. One woman felt so strongly about this that she applied for social security benefits to provide her with independent income. In a small number of households, space was opened up by the absence of gendered assumptions to be flexible, adaptable and creative in their arrangements. These households were playful with the absence of gendered scripts in their households, changing roles and disrupting social expectations. Comparing their experiences with heterosexual women, many participants highlighted how they managed caring and domestic work as a major difference. Some also commented that unlike heterosexual relationships unpaid work was not that important: And I think a lot of people, I mean, observation here, but I think certain persons feel they have to push the equality line, you know. Were kind of lucky there are no assumed roles, so there isnt this. And I mean like some friends sort of making absolutely certain that their male partners do equal work, which is very, very stressful for all concerned . . . To me equal is not the same, equal is not doing the same, so long as were both participating actively, if were putting the same effort in, to me it doesnt matter what were doing. So it just kind of comes down to who likes what or whos got time as well. So when Im home well I do more and when shes home well she does more. Were flexible. (Susan) Whilst Sullivan (1996, p. 757) suggests that lesbian parents make self-conscious decisions in relation to household arrangements, participants in this study were both critical of the concept of equality and mindful of the disruption caused by the birth of a child. The sheer scale of work created by children surprised some lesbian parents and led to a re-evaluation of their household arrangements. Whilst international studies have highlighted the importance of lesbian commitment to equality, many of the lesbian parents in this study appeared to have a more pragmatic interpretation of equality. This pragmatic interpretation was accompanied by a willingness to contribute to the efficient functioning of the household and a valuing of unpaid labour as important work: You just do things that need doing more readily and theres no talking about it, so if you are working from home you would get up and put a load of washing on or you would unstack the dishwasher without having anyone telling you to do that. You just notice stuff and see I suppose efficiencies in your day by doing a couple of things at once so that you dont have to, or your partner doesnt have to do that later. So I will often think, I know that Lee takes the bulk of the housework but if I know shes had a big day and shes left for work real early, I make an effort to have the dinner on the table and the 200 M. Rawsthorne and M. Costello house in some order because I know how wonderful it is to come in and to have someone care and look after you and that all that stuff is done. (Petra) The interviews suggest the heat was taken out of performing household tasks through acknowledging these tasks as important work, including child rearing. Repeatedly many participants highlighted that the drudgery of household tasks was reduced or diminished through recognition of their value. In this way many participants were enacting arrangements that shared both the rewards and the responsibilities of work and family life: I think neither of us have an automatic assumption that someone else will do housework for us. So that probably means were a lot more appreciative of each others efforts. I think theres an acknowledgement that child rearing is work, theres a lot of hard work involved in that so if I get home and I dont get a chance to do the washing up its not because Im being lazy, its because shes been challenging and I think because Sara is a woman and has raised two children she understands that as well. (Debbie) Discussion This paper explored work/family arrangements under circumstances in which the traditional gender division of labour is (at least potentially) removed in lesbianparented households. As Dunne (1998, p. 5) argues, it provides a marvellous opportunity to see what is achievable when gender polarisation as a structuring principle is absent. A significant body of literature suggests gender polarisation continues to shape the lived experiences and practices of many heterosexual households. With the best of goodwill and individual efforts, income disparities between men and women led many families to feel they have no choice in the way they structure their work/family arrangements. Caring and household tasks also continue to be shaped by gender polarisation and assumed roles. The discontent expressed by women about carrying a double burden of work and home has, to a great extent, failed to alter gendered household practices. It was an awareness of the apparent impasse that acted as a catalyst for asking: how can this be different? What do the experiences of lesbian parents tell us about gender in shaping work and family interaction? The small scale of this study and the particularly context (New South Wales, Australia) means the findings should not be generalised. Like other qualitative studies, however, it unearths what might be common experiences. Further research, particularly with a larger and more diverse (in terms of socio-economic status, geography and culture) sample would assist in testing whether these experiences are in fact common. As mentioned previously, most of the lesbian women in this study were highly qualified and worked in prestigious occupations. Whilst this may bias the studys findings, the small amount of Census data emerging on same sex females (Rawsthorne, 2008, p. 6) suggest that lesbians are, in general, more qualified and work accordingly in more prestigious occupations. It is noteworthy that many other qualitative studies of lesbians have a similar sample profile. With these limitations in mind the study provides some interesting insights into the experiences of lesbian parents reconciling work and family responsibilities. First and foremost, the study suggests that the impact of gender practices on households reconciling work and family responsibilities are complex. Gender polarisation may be absent in lesbian relations but gendered practices clearly are Community, Work & Family 201 not. Lesbian women, as Oerton (1998, p. 73) argues, are constrained and empowered as women (emphasis in the original). The lesbian participants in this study assume responsibilities towards household duties and care as women. A key difference, however, is that these duties are acknowledged as important work. Unlike some heterosexual households in which partners enact gendered scripts or frames, this study suggests some lesbian households de-stabilise these scripts or frames. This destabilisation opens up space or possibilities; individual lesbian households produce specific forms of caring and household patterns. Not all lesbian households will produce and enact the same pattern, but they have the opportunity to produce and enact patterns that make sense to them. Accordingly, among the lesbian households in this study there was a range of patterns evident, including what was referred to as a more traditional heterosexual pattern of breadwinner/home maker. For others playing with these opportunities, creating new scripts, brought a sense of lightness and fun to the arena. The experiences of these lesbian parents suggest that playing with scripts may provide a useful personal strategy to reduce the level of emotional angst about who cleans the sink. It is informative that the small number of households in this study that enacted more traditional heterosexual patterns experienced the greatest conflict over household duties and work/family responsibilities. These three households tended to mirror the dominant pattern employed by Australian families to reconcile work and family responsibilities; one partner working full time, with minimal household responsibilities, and the other working part time, who carried a greater share of caring and household tasks. The similarity between these households and the dominant experiences reported by Smyth et al. (2005) was quite marked. Biology also shaped the patterns adopted by these households, with the birth mother taking on the home-maker role. The impact of biology in lesbian-parented families is an interesting area for further research. For the majority of lesbian households in this study the absence of a script or frame to pattern the division of labour saw the creation of specific, negotiated, patterns. It is perhaps the negotiated nature of the division of labour, the conscious discussion and decision-making that marks these lesbian households. Smyth et al. (2005) highlighted the embedded nature of many gendered practices, with a discussion of the division of labour not even possible in many households. Those lesbian women who had co-habited with men in the past positively compared their lesbian experience in terms of household duties and caring. A number of the lesbian households were playfully aware of gendered practices, exemplified through the ownership and use of power tools. Others lamented the lack of a man in the household to do work they found physically challenging or tedious (such as mowing the lawn or putting out the garbage). They were, however, quickly able to identify what they viewed as the downsides of enacting traditional roles (oh god that would mean Id have to do all the washing). The de-stabilising of prescriptive scripts or frames enabled some households to negotiate or create a pattern that responded to their personalities, households and time constraints. This negotiation built in a greater sense of choice, control and fluidity; there was considerable awareness of the temporal nature of current patterns or arrangements. When something changed in the household (such as a new job or an increase in hours), the pattern of caring and household tasks would be renegotiated and strategies agreed to minimise conflict. This only partly explains the 202 M. Rawsthorne and M. Costello lack of heat in terms of household duties and caring in some lesbian households. The valuing of caring and household tasks as important work also appears of great consequence. Gender here seems likely to be influential, with women (who have traditionally carried out this work) being more able and willing to recognise its value. In relation to labour-force participation, motherhood appeared less influential than sexuality. The vast majority of these lesbian women had strong workforce histories and higher education qualifications. This concurs with previous studies that found a lesbian lifestyle both necessitates and facilitates financial self-reliance (Dunne, 1998, p. 4). Whilst there are social and economic imperatives to labour-force participation there was also a strong psychological rejection of dependency (either on a partner or the State) underpinning the high levels of labour-force participation. Further, work and careers involved active choice rather than compulsion due to having no other alternatives. Dunnes notion of co-independence was evident within most households, where decisions about work and family life were considerate of the aspirations of all members. What are the implications for all families from this research? It concurs with Pocock et al.s (2007, p. 9) findings that part-time work may not shield well women from negative worklife spillover. The three households that had a full-time/parttime household labour-force arrangement experienced the greatest conflict between work and family responsibilities. Clearly this issue requires further research with a larger and more diverse sample but the differences in household experiences suggest it is worthy of further study. It also suggests that negotiation in terms of caring and domestic tasks may be a more effective strategy than an aspiration towards equality or 50/50, as implied through work/family time-use research. Overt and ongoing negotiation appears important to taking the heat out of this arena of household life, particularly when coupled with a valuing of this work as important. This study suggests the patterning of work and family life in lesbian-parented families is a rich terrain for exploring new possibilities. Notes on contributors Dr Margot Rawsthorne teaches community development in the Social Work & Policy Studies program at the University of Sydney. Margot is a feminist researcher particularly interested in inequality shaped by gender, location and sexuality. Mayet Costello is a Ph.D. student, Social Work & Policy Studies program at the University of Sydney. Mayets research interests focus on women and policy processes. References Bittman, M., England, P., Folbre, N., Sayer, L., & Matheson, G. (2003). When does gender trump money? Bargaining and time in household work. The American Journal of Sociology, 109(1), 186214. Campbell, I., & Charlesworth, S. (2004). Key work and family trends in Australia (Background Report). Melbourne: Centre for Applied Social Research, RMIT University. Craig, L. (2004). Time to care: A comparison of how couple and sole parent households allocate time to work and children (SPRC Discussion Paper No. 133, Social Policy Research Paper). Sydney: University of New South Wales. Dunne, G.A. (1998). Introduction: Add sexuality and stir: Towards a broader understanding of the gender and dynamics of work and family life. In G.A. Dunne (Ed.), Living difference: Lesbian perspectives on work and family life (pp. 18). New York: The Haworth Press. Community, Work & Family 203 Dunne, G.A. (2000). Opting into motherhood: Lesbians blurring the boundaries and transforming the meaning of parenthood and kinship. Gender and Society, 14(1), 1135. Lewin, E. (1993). Lesbian mothers. Ithaca, NY: Cornell University Press. Lindsay, J., Perlesz, A., Brown, R., McNair, R., de Vaus, D., & Pitts, M. (2006). Stigma or respect: Lesbian families negotiating school settings. Sociology, 40, 10591077. McNair, R., Brown, R., Perlesz, A., Lindsay, J., de Vaus, D., & Pitts, M. (2008). Lesbian parents negotiating the health care system in Australia. Health Care for Women International, 29, 91114. McNair, R., Dempsey, D., Wise, S., & Perlesz, A. (2002). Lesbian parenting: Issues, strengths and challenges. Family Matters, 63, 4049. Mikhailovich, K., Martin, S., & Lawton, S. (2001). Lesbian and gay parents: Their experiences of childrens health care in Australia. International Journal of Sexuality and Gender Studies, 6(3), 181191. Millbank, J. (2002). Meet the parents: A review of the research on lesbian and gay families. Retrieved March 18, 2008, from http://www.glrl.org.au/pdf/major_reports/meet_the_ parents.pdf Millbank, J. (2003). From here to maternity: A review of the research on lesbian and gay families. Australian Journal of Social Issues, 38(4), 541600. Nelson, F. (1996). Lesbian motherhood: An exploration of Canadian lesbian families. Toronto, ON: University of Toronto Press. Oerton, S. (1998). Reclaiming the housewife? Lesbians and household work. In G.A. Dunne (Ed.), Living difference: Lesbian perspectives on work and family life (pp. 6983). New York: The Howarth Press. Patterson, C. (1992). Children of lesbian and gay parents. Child Development, 63(5), 1025 1042. Patterson, C. (1995). Families of the lesbian baby boom: Parents division of labor and child adjustment. Developmental Psychology, 31(1), 115123. Patterson, C. (1998). Family lives of children born to lesbian mothers. In C. Patterson & A. DAugelli (Eds.), Lesbian, gay and bisexual identities in families (pp. 154176). New York: Oxford University Press. Perlesz, A., & McNair, R. (2004). Lesbian parenting: insiders voices. Australian and New Zealand Journal of Family Therapy, 25(3), 129140. Pocock, B. (2003). The work-life collision: What work is doing to Australians and what to do about it. Annandale: Federation Press. Pocock, B., Skinner, N., & Williams, P. (2007, July 1113). Governing work-life intersections in Australia over the life course: Policy and prospects. Paper presented at Australian Social Policy Conference, University of New South Wales, Sydney. Rawsthorne, M. (2008). Lesbian parents reconciling work and family responsibilities (Summary Report). Retrieved March 18, 2008, from http://www.edsw.usyd.edu.au/research/networks/ sprn/news.shtml Rawsthorne, M. (2009). Just like other parents? Supporting lesbian parented families. Australian Journal of Social Work, 62(1), 4560. Richards, S. (2005). Handling qualitative data. A practical guide. London: Sage. Smyth, C., Rawsthorne, M., & Siminski, P. (2005). Womens lifework: Labour market transition experiences of women. Sydney: Social Policy Research Centre, University of New South Wales. Sullivan, U. (1996) Rozzie and Harriet? Gender and family patterns of lesbian coparents, Gender & Society, 10(6), 747767. Summers, A. (2003). The end of equality: Work, babies and womens choices in 21st century Australia. Milsons Point: Random House Australia. Tasker, F., & Golombok, S. (1991). Children raised by lesbian mothers: The empirical evidence. Family Law, 21, 184187. Tasker, F.L., & Golombok, S. (1998). The role of co-mothers in planned lesbian-led families. In G.A. Dunne (Ed.), Living difference: Lesbian perspectives on work and family life (pp. 4968). New York: The Haworth Press. Toohey, M. (2005, February 9). The effectiveness of child care benet at improving returns to work for women. Paper presented at the 9th Australian Institute of Family Studies 204 M. Rawsthorne and M. Costello Conference, National Centre for Social and Economic Modelling, University of Canberra, Melbourne. Tuten, T., & August, R. (2006). Work-family conict: A study of lesbian mothers. Women in Management Review, 21(7), 578597. von Doussa, J. (2007). Its about time: Key ndings from the women, men, work and family project. Family Matters, 76, 4854. West, M.D. (2007). Mrs, Mr Heterosexuality by default: Using policy to afrm diversity. Retrieved March 18, 2008, from http://www.glhv.org.au/node/134
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Waterloo - ECON - 101
McMaster - SOC - 3U03
The division of labor andperceptions of parental roles:Lesbian couples across thetransition to parenthoodAbbie E. GoldbergClark UniversityMaureen Perry-JenkinsUniversity of Massachusetts, AmherstABSTRACTNo research has examined the division of la
Waterloo - ECON - 101
McMaster - SOC - 3U03
ArticleLesbian mothersconstructions of thedivision of paid andunpaid laborF eminism&PsychologyFeminism & Psychology21(1) 100120! The Author(s) 2011Reprints and permissions:sagepub.co.uk/journalsPermissions.navDOI: 10.1177/0959353510375869fap
Waterloo - ECON - 101
McMaster - REL - 1
RS/WS 3FF3; Prof. A. Pearsonhandout week 1Issues in the Study of Gender/Women and ReligionWhen we look at the subject of women, gender and religion it is important to takeaccount of:THE PAST1) The fact of 4000 + years of PATERNALISTIC DOMINANCE in so
Waterloo - ECON - 101
Consumption Choice SetsaCollection of all consumption choices available to the consumerConstrained by Budget, Time, and other resources.A Consumption Bundle is a vector (X1 , X2 , ., Xn ) where Xi isthe quantity of good i. Corresponding prices are p1
McMaster - REL - 1
thMondayFebruary27 ,2012RS/WS3ff3A.Pearson,GenderandReligionlecslidesBeingReligious,DoingReligionRituallives,lifecycleceremoniesQuestions:Howdomenandwomenexperiencetheirrelationshiptothesacred?Howdotheyvoiceanddescribeit?Whatreligiousrolesandritua
Waterloo - ECON - 101
UtilityaA preference relation that is complete, reexive, transitive andcontinuous can be represented by a continuous utility function.Continuity means that small changes to a consumption bundlecause only small changes to the preference level.Utility
McMaster - REL - 1
Monday January 30th, 2012IMAGES AND ROLES OF WOMEN IN ANCIENT & CLASSICAL HINDUISM[A. Pearson; RS/WS 3FF3 Handout]Vedas (books of knowledge)-earliest most hindus did not read the vedas but, theywere associated with the vedas from the text that were th
Waterloo - ECON - 101
Hypothesis of rationality in economicsA decision-maker chooses its most preferred alternative from thoseavailable to it.The available choices constitute the choice set.The most preferred aordable bundle is called the consumersordinary demand at the g
McMaster - REL - 1
RS/WS3FF3lectureslidesInterrogatingandResistingtraditionalgendercategoriesEx.NavajoNadleehi;IndianHijrasquestionsArethereinfactonlytwosexes?Onlytwogenders?Whatculturalexamplesexistofthirdgendercategory?Whatrolesdid/dotheyplay?Howhavethemainworldsrel
Waterloo - ECON - 101
Properties of Demand FunctionsaComparative statics analysis of ordinary demand functions the study of how demands X1 (P1 , P2 , M ) and X2 (P1 , P2 , M )change as prices P1 , P2 and income M change. We hold 2 of the 3variables constant when studying
McMaster - REL - 1
RS 3FF3 GENDER AND RELIGIONHandout: Images & Roles of Women inthe Hebrew BibleA. PearsonThe Hebrew bible (also called the Tanakhan acronym made up of the initial letters of its 3sections) is divided into three types of books:i) The Torah (guidance o
Waterloo - ECON - 101
*Note: Checking for WARP and SARP is not optionalRevealed PreferenceaUp until now, weve started from preferences to describe behaviourRevealed preference is the opposite: by observing the demands ofan individual given dierent budgets, we can test the
McMaster - REL - 1
thMondayJanuary9 ,2012Religion 3FF3VIDEO-Womens rights-find description of movie (included slavery)300 people signed it and 68 women and 32 (in Seneca fall, new york 1848)Wants women equality and women are dependent on menWomen wanted to participate
McMaster - REL - 1
thMondayJanuary16 ,2012Religion3FF3MovieHalftheKingdomJudaismandwomenLegendofanoldwomenplantingatreeChainofgenerationsJewishsaystheunbornchildrenareinthecovenantPrayerthatissaidthesynagoguesIamgladIamnotawomenWomendidntwanttheprayertobecontinuedw
Waterloo - ECON - 101
Slutsky EquationEects of a Price ChangeWhen a commoditys price decreases we observe a Substitutioneect: the commodity is relatively cheaper, so consumerssubstitute it for now relatively more expensive other commoditiesAND an Income eect: the consumer
McMaster - REL - 1
16:48EarlyChristianandromanviewsonhomosexualityGodpunishedwholepopulationswhenonepersoncommittedhomosexualityInearliertimesbeforethatromansweremoreacceptingofhomosexualityTemples,statuescontinuedtobeopenedforagoodcenturyAntinoushomosexualinromanHomo
Waterloo - ECON - 101
Buying and SellingaTrade involves exchange when something is bought somethingelse must be soldHow are incomes generated?How does the value of income depend upon commodity prices?The list of resource units with which a consumer starts is hisendowmen
McMaster - REL - 1
Monday February 6th, 2012 and Thursday February 9th, 2012Women/Gender in BuddhismRS 3FF3Lecture Slides, Outline BuddhismWomen/ender In Buddhism-Images in the Early textsA. PearsonDeparturesPali Canon (Dated in final form to 1st C. CE) incl. text cal
Waterloo - ECON - 101
Market DemandaThink of an economy containing n consumers, denoted by i =1,.,n.Consumer is ordinary demand function for commodity j isxi (p1 , p2 , mi )jWhen all consumers are price-takers, the market demand functionnfor commodity j is Xj (p1 , p2
McMaster - REL - 1
RS/WS 3FF3 Gender and Religion [lecture slides] A. PearsonRS/WSThursday January 19th, 2012Images and Roles for Women in the Christian Textual Traditions: New Testament and PatristicsImagesThe NT is made up of four gospels about the life and teachings
Waterloo - ECON - 101
Rationality in EconomicsaA decision maker always chooses its most preferred alternative fromits set of available alternatives.Comparing two dierent consumption bundles, x and y: 3 ordinalpreference relations.strict preference: x is more preferred tha
Waterloo - ECON - 101
MATH 137 WEEK 1 NOTESPROF. DOUG PARK1. Functions Notations. R = cfw_real numbers Z = cfw_integers = cfw_0, 1, 2, . . . N = cfw_+ve integers = cfw_1, 2, 3, . . . Interval Notation: [a, b] = cfw_x R | a x b [a, b) = cfw_x R | a x < b (a, b] = cfw_x R |
McMaster - REL - 1
rdRS 3FF3 A. Pearson-Monday January 23rd, 2012RS2012Roles and Images of Women in IslamRolesQuran and Hadith*Term Islam means submission (to God); Muslims are those who have submitted to(the will of) God*Founder: prophet Muhammad; born in Mecca, A
Waterloo - ECON - 101
MATH 137 WEEK 2 NOTESPROF. DOUG PARK1. Angles in radians Measuring angles in radians. x2 + y 2 = 1 is the equation of the unit circle of radius 1 centered at the origin. The circumference of unit circle is 2 . There is a one-to-one correspondence:y 1 P
McMaster - REL - 1
Thursday February 9th, 2012 and Monday February 13th, 2012[RS/WS 3FF3 lec slides; A. Pearson]Women in SikhismFounder: Guru Nanak (1469-1539)(1469-1539)The word Sikh is from sisya means student or disciple. Sikhs are disciple of the 10 gurus(lineage
Waterloo - ECON - 101
MATH 137 WEEK 3 NOTESPROF. DOUG PARK1. Limit laws Limit Laws. Suppose f (x) L and g (x) M , as x a. Then Sum Law: f (x) + g (x) L + M Dierence Law: f (x) g (x) L M Constant Multiple Law: cf (x) cL, where c = constant. Product Law: f (x) g (x) L M f ( x)
McMaster - REL - 1
RS/WS3FF3GenderandReligion,A.Pearson,LectureslidesoutlineRS/WS3FF3GenderandReligion,A.Pearson,LectureslidesoutlineBodiesandReligionSitesofcontestation,Sitesofreflection?Expression?Repression?Whyare womens bodies sites of religious identity and conte
Waterloo - ECON - 101
MATH 137 WEEK 4 NOTESPROF. DOUG PARK1. Definition of derivativeC (t , f(t) (x , f(x) y = f(x) h x t LxLet t = x + h. Line L has slope =f (t) f (x) f (x + h) f (x) = . tx hAs t x, or equivalently as h 0, line L approaches tangent line C at (x, f (x)
Waterloo - ECON - 101
MATH 137 WEEK 5 NOTESPROF. DOUG PARK1. Chain Rule revisitedChain Rule. [f (g (x)] = f (g (x) g (x) Remark. In Leibniz notation, if y = f (u) with u = g (x), then Chain Rule says dy du dy = f (u) g (x) = . dx du dx In other words, Chain Rule says dus ca
Waterloo - ECON - 101
MATH 137 WEEK 6 NOTESPROF. DOUG PARK1. Alternative proof of exponential derivativeIn the proof of (ex ) = ex , we have used the following theorem.eh 1=1h0hTheorem. limWe give an alternative proof of the theorem using the following denition of e.
Waterloo - ECON - 101
MATH 137 WEEK 7 NOTESPROF. DOUG PARK1. Local and global maximum/minimumDef. [a, b] is called closed interval.(a, b) is called open interval.[a, b) and (a, b] are called half-open/half-closed interval.Def. (i) f has a global (absolute) maximum at c i
Waterloo - ECON - 101
MATH 137 WEEK 8 NOTESPROF. DOUG PARK1. Proof of Increasing/Decreasing TestTheorem. (Increasing/Decresing Test) Let I be a connected interval.(i) If f > 0 on I , then f is increasing on I .(ii) If f < 0 on I , then f is decreasing on I .Proof. (i) Th
Waterloo - ECON - 101
MATH 137 WEEK 10 NOTESPROF. DOUG PARK1. Approximating a definite integral with rectanglesx0 = axb = xnxixi 1 x i*We divide [a, b] into n subintervals of equal length ba = x.nLet x0 = a, x1 , x2 , . . . , xn = b be the endpoints of these subinter
Waterloo - ECON - 101
MATH 137 WEEK 11 NOTESPROF. DOUG PARK1. Substitution Rule (Change of Variables Theorem)f (g (x) g (x) dx =Theorem. (CVT) If u = g (x), thenf (u) du .Proof. Let F = f . Then by Chain Rule,[F (g (x)] = F (g (x) g (x) = f (g (x) g (x).Thusf (g (x) g
Stony Brook University - BIO - 204
AcidsaresubstancesthatreleaseH+ionsinsolution.HClisanacid,Acidsthatfullyionizeinsolution,suchasHClandH2SO4arecalledstrongacids.some will dissociate into twoions(CH3COOand H+),but some of the originalaceticacidremainsaswell.Becausethereactionisnotcomple
Ocean County College - CSIT - 165
import java.util.Scanner;public class test cfw_public static void main(String[] args)cfw_String[] name=new String [6];double[] score = new double[5];double[] avgScore = new double [6]; /Scanner scanner = new Scanner(System.in);/ input s
NJIT - IT - 120
IT120Homework 2Spring 20121. (9pts) An image is 1280 by 800 pixels. Each pixel requires 2 bytes of data. Assume that the image isuncompressed. How long does it take to transmit this image over a using an 802.11g wireless access point? Howlong does it
NJIT - IT - 120
IT 120Spring 2012Homework 3-Part B6.(7pts) We wish to assign a CIDR block of 1024 addresses (including all 0s and all 1s),starting at 128.211.192.0.a. What is the maximum address in this block? [Hint: figure out how many bits arerequired to represe
NJIT - IT - 120
IT120, Spring, 2012Homework 41. (10pts) Create a router table for Router Q, showing the destination network and the next hop.Assume all network addresses use a /8 mask. Router R should be the default next hop.Router Q Table:Destination/MaskGateway1
NJIT - IT - 120
IT120, Spring, 2012Homework 51. (10pts) Show the shortest form of these IPv6 addresses by removing leading zeros and using :a. B00C:0234:0A90:1000:0000:0000:0001:0000B00C:234:A90:1000:1:0b. 0000:0000:0000:00AA:009A:0000:0000:A2310:AA:9A:A231c. 1000
CSU Northridge - ACCT - 380
CHAPTER 8BUDGETING FOR PLANNING AND CONTROLDISCUSSION QUESTIONSpriate percentage to yield the amount ofcash expected.1. Budgets are the quantitative expressions ofplans. Budgets are used to translate thegoals and strategies of an organization into
BYU - HIST - 112
Peter StowellETS 9Learning about the Second Great Awakening is especially interesting to me sincethe restoration of our church happened during this time. In a time of great religiousrevival, as is explained in Joseph Smith History, Joseph wished to fi
UCSI - ECON - 293
DateRev.DescriptionSPECIFICATIONProductNameCustomerNameFloat SensorPartNumberGMF-83iA-1A1B839855Actuating Description2626Scale: 1:1Wire Lengh Tolerance:0.5%~1%Body Lengh Tolerance:8.42010%Plastic effluence Tolerance:3%Chamfer T
UCSI - ECON - 293
1Compensator Design to Improve Steady-State ErrorUsing Root LocusProf. Guy BealeElectrical and Computer Engineering DepartmentGeorge Mason UniversityFairfax, VirginiaC ONTENTSIINTRODUCTION2IIDESIGN PROCEDUREII-ACompensator Structure . . . .
UCSI - ECON - 293
CONTROL DIGITAL CON MATLABPor: M. I. Jorge A. Polana P.Contenido1. LA TRANSFORMADA Z. 41.1 DEFINICIN DE LA TRANSF_Z . 41.2TZ DE FUNCIONES ELEMENTALES. 41.2.1ESCALN UNITARIO . 41.2.2RAMPA UNITARIA. 61.2.5SENOIDAL : sen(wkT) . 111.3PROPIEDADES
UCSI - ECON - 293
www.p-tec.netsales@p-tec.netTel:Fax:(719) 589 3122(719) 589 3592P C1602A-L (16x2) Character LCD DisplayAbsolute Maximum Ratings at TA = 25 CFeatures* 16 Character, 2 Line*View Angle 12H or 6H*TN or STN Fluid* Extended Temperature Rangeavailab
UCSI - ECON - 293
Transaction HistoryMay 21, 2009 through May 28, 2012Ortega, DarioEmail : stonfta@gmail.comDateDescriptionStatusCurrencyGrossFeeNet5/21/2012Credit to Credit Card : Credit CardCompletedUSD-5.500.00-5.50ID: 4YX206290T765991A.5/21/2012Ref
UCSI - ECON - 293
Sensor interfacingSensors available, pullup resistors(B port), edge counting,debounce, potentiometers, theencoderDigital Infrared RangingModulated IR beamOptical lenses+5voutputinput1k1kgndposition sensitive device(array of photodiodes) Op
UCSI - ECON - 293
Chapter 5The Root-Locus Design MethodProblems and solutions for Section 5.11. Set up the following characteristic equations in the form suited to Evanss root-locus method. Give L(s), a(s), and b(s) and the parameter, K, in terms of the original paramet
UCSI - ECON - 293
#include <p18cxxx.h>#include <adc.h>#include <delays.h>#include <usart.h>#include <math.h>#include <xlcd.h>#include<stdio.h>#pragma config OSC = HS#pragma config WDT = OFF#pragma config LVP = OFFunsigned char *p; / puntero a dato_recibido, para
UCSI - ECON - 293
HOW TO USEINTELLIGENT L.C.D.SPart OneBy Julyan IlettThis paper was originally published as the first half of a two-partarticle in the February 1997 issue of Everyday Practical Electronicsmagazine (www.epemag.wimborne.co.uk), and is reproduced herew
UCSI - ECON - 293
Design of a Phase-Lag Compensator Using MATLABThe desired phase margin is 60 o .1. G p ( s ) =10s + 2s22. 1 = 0.9173. o = 0.091713.9 / 20= 0.0917 / 4.95454. p = o / | G p ( j 0.917) |= 105.Transfer function:10.71 s + 1-53.05 s + 16. The bod
UCSI - ECON - 293
Diseo de Sistemas deIntroduccinCse han revisado para el anlisis en losontrolTodos los fundamentos quecaptulos anteriores llevan al objetivo ltimo del diseo de sistemasde control.Especificaciones de diseo:Generalmente se emplean para describir qu d
UCSI - ECON - 293
>UNIVERSIDAD DEL VALLE ESCUELA DE INGENIERIA ELECTRICA Y ELECTRONICA <Robot Evasor de Obstculos Discreto.Lalobot I(Enero 2007)Por: Lalo Wilderman Reyes ( lalito_43@hotmail.com ) y Jhoan Andres .ABSTRACT THE ROBOT HAS FOR OBJECTIVE TO AVOIDOBSTACLES
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Universidade de Vigo EUITISistemas embebidosInformtica Industrial 2004-20051Microcontrolador Microchip PIC18F452- Arquitectura RISC (Reduced Instruction Set Computer).- Juego de instrucciones reducido para ejecucin rpida.- Oscilador hasta 40 MHz10
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UNIVERSIDAD FRANCISCO DE PAULA SANTANDERINGENIERA ELECTRNICAMICROCONTROLADORESControlador de velocidad de un motor DC basado en unPIC 16F877Lina Mara Aguilarlinamaria_a_l@hotmail.comJavier Mauricio Rolnmaorolon2@hotmail.comRESUMENEl proyecto se
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UNIVERSIDAD AUTNOMA DE NUEVO LENFACULTAD DE INGENIERA MECNICA Y ELCTRICAAnlisis del Lugar Geomtrico de las Races (LGR) o Mtodo de EvansLa caracterstica bsica de la respuesta transitoria de un sistema en lazo cerrado se relacionaestrechamente con la ub
UCSI - ECON - 293
PIC18F4550Page 1 of 5PIC18F4550PLL Prescaler Selection bits:PLLDIV = 1No prescale (4 MHz oscillator input drives PLL directly)PLLDIV = 2Divide by 2 (8 MHz oscillator input)PLLDIV = 3Divide by 3 (12 MHz oscillator input)PLLDIV = 4Divide by 4 (16