Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.
1 Page
2008+9a10t4
Course: MATH 2008, Fall 2010School: Carleton University
Rating:
Document Preview
2008/2009 MATH A Test 4 Thursday, November 18th, 2010 This test has 3 questions (worth a total of 15 marks). Calculators are not allowed. You have 50 minutes. Put a box around your nal answers. 1. (6 points) Find the volume of the solid enclosed by the paraboloids = z x2 + y 2 and z = 18 x2 y 2 . 2. (6 points) z 2 dV , where E lies between the spheres x2 + y 2 + z 2 = 4 and Evaluate E x2 + y 2 + z 2 = 9 in...
Unformatted Document Excerpt
Coursehero >> Canada >> Carleton University >> MATH 2008Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
2008/2009 MATH A Test 4
Thursday, November 18th, 2010
This test has 3 questions (worth a total of 15 marks). Calculators are
not allowed. You have 50 minutes. Put a box around your nal answers.
1. (6 points)
Find the volume of the solid enclosed by the paraboloids = z x2 + y 2 and
z = 18 x2 y 2 .
2. (6 points)
z 2 dV , where E lies between the spheres x2 + y 2 + z 2 = 4 and
Evaluate
E
x2 + y 2 + z 2 = 9 in the rst octant.
3. (3 points)
Find the Jacobian of the transformation x = er cos , y = er sin .
1
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more.
Course Hero has millions of course specific materials providing students with the best way to expand
their education.
Below is a small sample set of documents:
Below is a small sample set of documents:
Carleton University - MATH - 2008
Carleton University - MATH - 2008
Carleton University - MATH - 2008
Carleton University - MATH - 2008
Carleton University - CHEM - 3100
CHEM 3100Assignment #11.Alcohols can be formed by hydrolysis of chlorides in basic solutions. Forinstance, t-butyl alcohol can be produced via the reaction:C(CH3)3Cl + OHC(CH3)OH + ClA possible mechanism is:k1C(CH3 )3 ClC(CH3 )3kC(CH3 )3ClC(
Carleton University - CHEM - 3100
CHEM 3100Assignment #2Due Friday, February 11, 2011 by 3 PMSolutions will be posted at 4 PM so you can study for the test on February 15,i.e. no late assignments can be accepted10 marks for each question1.The mean activity coefficients for aqueous
Prince Sultan University - CS - 311
Divide and Conquer StrategyCS 311 Design and Algorithms AnalysisPSUGeneral Concept of Divide &Conquer Given a function to compute on n inputs,the divide-and-conquer strategy consistsof: splitting the inputs into k distinct subsets,1< k n, yieldin
Prince Sultan University - CS - 311
CS 311Design and Algorithms AnalysisCS 311 Algorithm Design and Analysis Dr. Mohamed TounsiPSU1Problems and AlgorithmsAbstractly, a problem is just a functionp : Problem instances -> SolutionsExample: Sorting a list of integersProblem instances =
Prince Sultan University - CS - 211
FdrgoitrdoghitroihrtRhtoigheroighsodgihsdoighsGihohsdgihdohrdeGhiedGihsndgIpshgoihdergiihsdGphsgohergoiuehopisZghSpgihdsPrghswPgihspOighdpiGhzsAgapRghepoGrhwerpGiherpiGhezarHEPgirhezahareht
City College of San Francisco - BIOLOGY - 101B
City College of San Francisco - BIOLOGY - 101B
Review #1Population: group of individuals of same species in same area and interbreed, producingfertile offspringMicroevolution: small-scale evolution, change in allele frequency in population overgenerationsMacroevolution: broad pattern of evolution
City College of San Francisco - BIOLOGY - 101B
Biology 101bReview #81. What are the 3 major plant tissue systems and what is their function? Dermal-out protective covering Epidermis (stomata, cuticle): epidermis has specialized characteristics in each organ. Root hair absorption of water and mine
City College of San Francisco - BIOLOGY - 101B
Biology 101bReview #910. Describe the steps involved in water transport and sugar translocation in plants.Water Transport:1. Transpiration: loss of water from leaves Diffusion of water vapor from humid air inside leaf to drier air outsideleafloss of
City College of San Francisco - BIOLOGY - 101B
Review #101. What makes up the environment?The environment includes both abiotic and biotic parts.Abiotic: nonliving components, chemical and physical factors such as temperature, light, water,and nutrients.Biotic: living components, all the organism
City College of San Francisco - BIOLOGY - 101B
Biology 101bReview #111. How does energy flow through an ecosystem?Energy flow Flows through ecosystem Transformation E enters as sunlight autotrophic organisms covert it to chemical energy(organic compounds of food) heterotrophs (food processing)
City College of San Francisco - BIOLOGY - 101B
Review #6Neuron- nerve cellCell Body- most of neurons organelles, including nucleusDendrites- highly branched extension that receive signal form other neuronsAxon- longer extension of neuron that transmits signals from other neuronsMyelin sheath- in
City College of San Francisco - CHEMISTRY - 101B
f noLl"^ 5 <.Yit.^,w=)i ( U f t6^ s ;' (tuarlcfw_tn h c-r M ,r <glac< & b yir3 l't' , f Lz e *k-r*a-l ( fr1t^r('oA f w" g o5 l nTl<1 f u ( eeavre 3 f li "rk-naltc a'^Pr<Z<o(,ncfw_-tl i llf\z- j a5 i tf r<1|tt'<& <ca'ue9? ft ' U ',t: 6 nk'
City College of San Francisco - CHEMISTRY - 101B
-^ry_r ,*', n"Jtu'\cfw_"'-( ,o-."LJi I b ovzKts6( 5*J g "ins, rfo'^r*l 5",6 5 u " iv >,l ot-.1a^l5 F .^ l-n<b'^'5t)nc1&Jtnr VrYD rtlo\'^J| u.r u n l" ttIo-J5 rl(;-*l-a,'t) | a 1r,lg , S ibt,v^"-N1OD n ot t e4la\eot"d 5-";o"
City College of San Francisco - CHEMISTRY - 101B
4 S otuhiaIh b&^-f"!l1zZ tt) *4r ,tv\)el .^ot) f ir*t-"i.uKt uonTB5 ",tally a'<f |u,tftne" r;'.am do 1 1;7\f kffr:z-3!:-;iHt4N(4p1) ' -"- i"4) t'F rfi h +i 5 f ^*'. d') ,tecfw_v ( 6n b q.tstntt5'f araeest)f r^'vov'ao(," t'-c/-o
City College of San Francisco - CHEMISTRY - 101B
( .tt".' f u]' fCLt' t lF/ec*wc hz^.,tIt.4. q. , t // h e ( o't ' u t ofr l nU,n 5, ? rorrbl Ir -<at h a* s ( al- f Ao a ^r/" ) ' - - - r ,o fr - - + L s - | R,L-u x,olaha,-L f.*."ucfw_ 7 l'lt-0 - -s 4 e- f O .t 4 H |fh.a .C !r/ o' -
City College of San Francisco - CHEMISTRY - 101B
( :acfw_e 5 "t cfw_ f "/"k' <'cdri.nr-t r x ( r't1/ 4^- . ^.) t '!/<vLI(' 54A_ee rrori't f'*ot^,3inwl;^:li'd-l ra-kJ ha,.-lJ6 e t ,o x t o- q H / s ) uln,Lk t ) a6ootl- 4 /,vqe>f uzo:u Fc r ' ' t x f l- L -l( LS t 6n ' l(heu/; [ -h
City College of San Francisco - CHEMISTRY - 101B
C hem1 0lB: P roblemS et8Zumdahl, C hapter 1 9 ( 6thed.)or 20 ( 5thed),T ransition M etalsDue: N o D ae D ale-Answersw ill be posted uesday, ecemberTDIbProblemsfrom the textbook: (You mustdo t hese, ut y ou do not havet o handt hemi n f orgrading)
City College of San Francisco - CHEMISTRY - 101B
f a(uht,t:li. & . ( tt=pK-tqffi ' f K-' ^ l(Acfw_\p- - -*e415 e ry!)fruo =2zfrot ( +Y,(H=- : 2 Q 9. X" "* "1- - / li l " z cfw_wv'olJ 'EtI w fo r"-)b.ftt=f(" | , ^2Tr,6;T eP " P 'faa'\l".orrocfw_ ( (F-=-7,'lo 7.21 + / *'tI u eo,'J6'
Purdue - ME - 200
ME 200 Thermodynamics IFall 2010Answers to Assigned Homework ProblemsLectures 1 through 111.61.15SP1(a) 2500 N; (b) 981 N29.62 N(a) 420 N, 94.42 lbf; (b) 1081.5 N, 243.1 lbf1.251.34SP2(a) 1.33 m3/kg, 0.67 m3/kg58 kPa(a) 0.1515 m3; (b) 0.150
Purdue - ME - 200
ME 200 Thermodynamics IFall 2010Answers to Assigned Homework ProblemsLectures 12 through 203.84(a) Not attached; (b) +12.75 kJ, work done by the system, +491 kJ, heat transferto the system3.87 49.3CSP12 (a) +1.76 kJ, +6.78 kJ (exact); (b) +3.16 kJ
Purdue - ME - 200
ME 200 Thermodynamics IFall 2010Answers to Assigned Homework ProblemsLectures 21 through 325.3(a) Possible; (b) Possible; (c) Impossible; (d) Indeterminate; (e) Possible;(f) Impossible; (g) Indeterminate5.8(a) Not attached; (b) Not attachedSP21 (
Purdue - ME - 200
ME 200 Thermodynamics IFall 2010Answers to Assigned Homework ProblemsLectures 33 through 406.154 (a) -69.5 Btu/lbm, work input; -13.15 Btu/lbm, heat loss; (b) Not attached6.159 75.9%SP33 -37 W, power input8.6(a) 1.12 105 kW; (b) 2.87 105 kW, heat
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 1 and 2Due Friday, August 27, 2010SP1:A small experimental rocket (mass = 70 kg) is accelerated at the rate of 6 m/s2. Neglectany frictional effects and assume that the local gravitational constan
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 3, 4, & 5Due Friday, September 3, 2010SP3:A mountain climber carries a barometer which reads 30.1 in Hg at the base of themountain. At the mountain top, the barometer reads 26.45 in Hg. Consider t
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 6 and 7Due Friday, September 10, 2010SP6:A mass of 10 kg is accelerated from rest to 10 m/s through a height of 100 m. Theinternal energy of the mass increases by 100 J/kg.Determine the change in
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 8, 9, and 10Due Friday, September 17, 2010SP8:In a refrigeration cycle with coefficient of performance of 1.5, heat is transferred at therate of 500 kW to the surrounding. The refrigeration cycle
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 11, 12, and 13Due Monday, September 27, 2010SP11:A piston-cylinder device containing water undergoes a thermodynamic cycle consistingof the following three processes:Process 1-2: Isobaric (consta
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 14 and 15Due Friday, October 1, 2010SP14:A reciprocating compressor initially contains air in the cylinder at 0.95 bar and 67C.The initial volume of air is 0.1 m3. The compression process is quasi
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 16, 17, and 18Due Friday, October 8, 2010SP16:Air enters a single-inlet, single-exit system at 1 bar and 27C. The volumetric flow rateof air at the inlet is 1.722 m3/s. Heat transfer of 50 kW occu
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 19 and 20Due Friday, October 15, 2010SP19:Steam at 30 bar and 280C flowing steadily at 20,000 kg/hr is throttled to 20 bar. Aseparate stream of liquid water at 25 bar and 20C is throttled to 20 ba
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 21, 22, and 23Due Monday, October 25, 2010SP21:A manufacturer claims to have built an electrical resistance heater consuming 5 kWh ofelectricity while producing 5 kWh of electricity.(a) Is this a
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 24 and 25Due Friday, October 29, 2010SP24:Consider a steam power cycle in which saturated water vapor at 25 bar (state 1) at theexit of the boiler enters a turbine and expands to 0.1 bar and 80% q
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 26, 27, and 28Due Friday, November 5, 2010SP26:A 50 kg block of iron initially at 227C is dropped into a large lake at 12C.(a) Calculate the amount of heat transfer (kJ).(b) What is the total ent
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 29, 30, and 31Due Friday, November 12, 2010SP29:Refrigerant 134a is throttled from 900 kPa and 34C to 200 kPa. Heat loss of 0.8 kJ/kgoccurs during the throttling process to surrounding at 25C.(a)
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 32, 33, and 34Due Friday, November 19, 2010SP32:Air is compressed adiabatically in steady-flow process from 1 bar and 17C to 6 bar. Theisentropic efficiency of the compressor is 82%.(a) What is t
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 35, 36, and 37Due Friday, December 3, 2010SP35:Consider a reheat Rankine cycle in which vapor at 14 MPa and 560C (state 1) isexpanded to 1.5 MPa (state 2) in a high-pressure turbine having isentro
Purdue - ME - 200
Special Problems for ME 200 Fall 2010Special Problems 38, 39, and 40Due Friday, December 10, 2010SP38:Consider a new piston-cylinder engine cycle that can be modeled as a cold air-standardcycle with the following four internally reversible processes.
Purdue - ME - 200
ME 200 Thermodynamics I Fall 2009Name: Naik (Last) Thermo Number: 1000Sameer (First)CIRCLE YOUR LECTURE BELOW Div. 1 8:30 am Naik Div. 2 10:30 am Lucht Div. 3 1:30 pm MongiaDiv. 4 3:30 pm KimDiv. 5 7:30 am HessEXAM 1INSTRUCTIONS This is a closed bo
Purdue - ME - 200
Chapter 2 (Elementary Thermodynamics: Naik) 2004Summary of Basic Thermodynamic Concepts(Types of Substances and Property Evaluation)Thermodynamics studies transformations of different forms of energy. Theconservation of energy principle along with con
Purdue - ME - 200
ME 200: Thermodynamics IExam 3 Review1Conceptual Question 1:An ideal gas flows through a turbine where thepressure is lowered at a constant temperature.Neglect kinetic and potential energy changes.Determine what happens to the following quantities
Purdue - ME - 200
Purdue - ME - 200
ME 200 Thermodynamics IName: _Fall 2009(Last)(First)Thermo Number: _CIRCLE YOUR LECTURE BELOWDiv. 1 8:30 amNaikDiv. 2 10:30 amLuchtDiv. 4 3:30 pmKimDiv. 3 1:30 pmMongiaDiv. 5 7:30 amHessFINAL EXAMINSTRUCTIONSThis is a closed book and cl
Purdue - ME - 200
ME 200 Final Exam Fall 2009 Answers1(a)Pressure Temperature(bar)(C)StateQuality(x)Specific Enthalpy Specific Entropy(kJ/kg)(kJ/kg-k)120212.412799.56.34092s0.145.810.75882007.486.340920.145.810.80852126.286.713830.145.81019
Purdue - ME - 200
ME 200 Final Exam Spring 2010 Answers1(a)StatePressure Temperature Specific Enthalpy(bar)(C)(kJ/kg)PhaseQuality (%)(If Applicable)1306003682.3SHVN/A2s0.145.812380.05SLVM91.4530.145.81191.83SL04s30194.85CLN/A(b) 0.002322(a
Purdue - ME - 200
Purdue - ME - 200
BASIC EQUATIONS FOR ME 200(1)Work and Energy Relationsks 22(x 2 x 1 )2Wb = pdVWe = VItWrot = 2 nw cv = vdp + (V12 V22 ) / 2 + g(z1 z 2 )2KE = 0.5m ( V -V22(2)Wspring =211)PE = mg ( z 2 -z1 )Fspring = k s xFirst Law Relations and Mas
Purdue - ME - 200
Quiz86 April 2011Name:ME200 Spring 2011Part A)While completing one cycle, an irreversible heat engine receives heat input from two thermal reservoirs:1000 kJ from a thermal reservoir at 227C and 500 kJ from another thermal reservoir at 727C. Alsodu
Harvard - CS - 1
package simpledb;import java.io.*;/import java.util.ArrayList;import java.util.LinkedList;import java.util.List;/* * BufferPool manages the reading and writing of pages into memory from * disk. Access methods call into it to retrieve pages, and it
CNUAS - MATH - 111
Midterm Examination of Analytic Geometry and Matrix21 Oct 20112111. (25%) Let A =1122111121140and B =110210101011.(a) (10%) Find the reduced row echelon form of A and B by using row operations.2111122111121111
CNUAS - MATH - 111
31 3 , pp. 26-49 2.1. , : , , A. S F V , V F V S , S , S V : S V u + v S, u, v S, , F.(2.1.1), S , V S , (2.1.1); , V , ,
CNUAS - MATH - 111
4.14.24.34.44.54.64.74.8R skip 4.1 R (vector) (x1, x2)x(x1, x2) (ordered pair) x = (x1, x2) x1 x2 x (components) n n (ordered n-tuple) n n (n-sapace) R 4-2 u = (u1, u2, , un) v = (v1, v2, , vn) c
CNUAS - MATH - 111
Linear Algebra- Chapter 1 2008/09/23Linear AlgebraA set is a collection of objects, called elements of the set. If x is an element of the set A,then we write x A; otherwise, we write x A. Set Collection Set SetElementsMembers x A x A x A x A A B
CNUAS - MATH - 111
[10010CS 531200] Graph Theory: Autumn 20113.2 Homework Assignment1. (3.2.1) Using nonnegative edge weights, construct a 4-vertex weighted graph in whichthe matching of maximum weight is not a matching of maximum size.2. (3.2.2) Show how to use the Hun
CNUAS - MATH - 111
[10010CS 531200] Graph Theory: Autumn 20115.3 Homework Answer Correction1. (5.3.4)a) Prove that (Cn ; k ) = (k 1)n + (1)n (k 1).b) For H = G K1 , prove that (H ; k ) = k(G; k 1). From this and part (a),nd the chromatic polynomial of the wheel Cn K1 .
CNUAS - MATH - 111
[10010CS 531200] Graph Theory: Autumn 20113.1 Additional Homework Assignment1. (3.1.5) Prove that (G) n(G)(G)+1for every graph G.2. (3.1.9) Prove that every maximal matching in a graph G has at least (G)/2 edges.
CNUAS - MATH - 111
[10010CS 531200] Graph Theory: Autumn 20116.3 Homework Assignment1. (6.3.2) A graph G is k -degenerate if every subgraph of G has a vertex of degree atmost k . Prove that every k degenerate graph is k + 1-colorable.2. (6.3.4) Determine the crossing nu