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Ecommerce Final Exam with answers

Course: MIS 725, Spring 2011
School: Atlanta Tech
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|1 MIS672 Page Final Exam Student Name Student ID _________ Final Examination 1. E-commerce can be defined as:________________a. the use of the Internet and the Web to transact business. b. the digital enablement of transactions and processes within a firm. c. digitally enabled commercial transactions between and among organizations and individuals. d. both (a) and (c). 2. The following are all unique features...

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|1 MIS672 Page Final Exam Student Name Student ID _________ Final Examination 1. E-commerce can be defined as:________________a. the use of the Internet and the Web to transact business. b. the digital enablement of transactions and processes within a firm. c. digitally enabled commercial transactions between and among organizations and individuals. d. both (a) and (c). 2. The following are all unique features of e-commerce technology:_______________ a. interactivity, global reach, information asymmetry, personalization/customization. b. universal standards, richness, information density, interactivity. c. information density, universal standards, personalization/customization, sales force-driven. d. local/regional reach, interactivity, richness, personalization/customization. 3. Disintermediation refers to:__________________________ a. new opportunities for middlemen to aggregate content, products and services. b. the disappearance of market middlemen and the destruction of traditional distribution channels. c. hyper-competition. d. the fact that when everyone uses the same tool or product, all participants receive more value. 4. In addition to the Internet and the World Wide Web, which of the following technologies is integral to understanding e-commerce? a. Client/server computing b. Wireless computing c. Peer-to-peer computing d. Mainframe computing 5. Today, the portal business model is to:___________________ a. serve solely as a gateway to the Internet. b. be a destination site. c. provide an integrated package of content and services all in one place. d. both (b) and (c). 6. A/An ___________ is a company that offers access to Internet-based software applications to other companies. a. market creator b. ASP c. exchange d. portal 7. The global scale of the Internet impacts the business environment in all of the following ways except:__ a. it lowers costs of industry and firm operations through production and sales efficiencies. b. it enables competition on a worldwide scope. c. it increases the importance of having a local and regional sales force. d. it lowers barriers to entry, yet greatly expands market at the same time. 8. The basic building blocks of the Internet include all of the following except:__________ a. client/server computing. b. the SMTP, POP, and IMAP protocols. c. the TCP/IP communications protocol. Page |2 d. packet-switching hardware. 9. The process of slicing digital messages into parcels, sending them along different communication paths as they become available, and reassembling them at the destination point is called:_________ a. routing. b. the Transmission Control protocol. c. packet switching. d. the File Transfer Protocol. 10. Specialized computers that interconnect the thousands of computers that make up the Internet in order to transmit message parcels along available communication paths and on to their destinations are called: a. transponders. b. routers. c. servers. d. clients. 11. A set of rules for formatting, ordering, compressing, and error-checking messages is called a/an:___ a. algorithm. b. domain. c. statute. d. protocol. 12. The Internet Layer of TCP/IP is responsible for:____________________ a. placing packets on and receiving them from the network medium. b. addressing, packaging, and routing messages. c. providing communication with the application by acknowledging and sequencing the packets to and from the application. d. providing a variety of application with the ability to access the services of the lower layers. 13. Internet addresses (IP addresses) are currently expressed as a:________________ a. 32-bit number that appears as a series of four separate numbers separated by semicolons. b. 128-bit number that appears as a series of four separate numbers separated by periods. c. 64-bit number that appears as a series of four separate numbers separated by periods. d. 32-bit number that appears as a series of four separate numbers separated by periods. 14. The addresses used by browsers to identify the location of content on the Web are called:_________ a. domain names. b. uniform resource locators. c. IP addresses. d. Hypertext Transfer Protocol. 15. Which of the following statement about client/server computing is true? a. It exploded the available communications capacity. b. It provided communication rules and regulations. c. It connects multiple powerful personal computers together in one network with one or more computers dedicated to common functions that they all need. d. It does not provide sufficient computing capacity to support graphics or color. 16. Which of the following is not an advantage of client/server computing over centralized mainframe computing? a. It is easy to expand capacity by adding servers and clients. b. It uses photonics to greatly increase capacity and transmission speeds. c. It is less vulnerable because the processing load is balanced over many powerful smaller computers rather than concentrated in a single huge computer. d. There is less risk that a system will completely malfunction because backup or mirror servers can Page |3 pick up the slack if one server goes down. 17. Which of the following protocols is used to send mail to a server?: a. SMTP b. FTP c. HTTP d. SSL 18. _______ is a utility program that allows you to track the path of a message you send from your client to a remote computer on the Internet. a. Telnet b. Ping c. Tracert d. Finger 19. ____________ is a set of standards for communicating between a browser and a program running on a server that allows for interaction between the user and server. a. CGI b. ColdFusion c. JavaScript d. VBScript 20. Which of the following languages did Microsoft invent to compete with Java? a. VBScript b. ActiveX c. ColdFusion d. Java Server Pages 21. Which of the following would not be an appropriate choice for an e-commerce suite for a medium-sized business? a. Microsoft Commerce Server 2002 Standard Edition b. IBM Websphere Commerce Suite Professional Entry edition c. Microsoft Commerce Server 2002 Enterprise Edition d. Blue Martini Commerce 22. Dynamic page generation makes all of the following possible except:____________ a. lowered menu costs. b. market segmentation. c. nearly cost-free price discrimination. d. multi-browser functionality. 23. The leading Web server software is:________________ a. Apache HTTP. b. Microsoft Internet Information Server. c. Sun. d. Zeus. 24. Which of the following might include a data flow diagram to describe the flow of information for a Web site? a. Physical design b. Logical design c. Testing plan d. Co-location plan 25. What are the most important management challenges in building a successful e-commerce site? a. Developing a clear understanding of business objectives and knowing how to choose the right Page |4 b. c. d. technology to achieve those objectives Building a site quickly Building a site inexpensively Choosing the right people to build the site 26. The most popular Internet activity is:_______________ a. general Web surfing. b. e-mail. c. reading news. d. shopping online. 27. Which of the following is an example of an integrity violation of e-commerce security? a. A customer denies that he or she is the person who placed the order b. An unauthorized person intercepts an online communication and changes its contents c. A Web site is not actually operated by the entity the customer believes it to be d. A merchant uses customer information in a manner not intended by the customer 28. Bugbear is an example of a:_____________ a. macro virus b. script virus/worm c. Trojan horse/worm d. file infecting virus 29. Encryption can provide all of the following dimensions of e-commerce security except:_______: a. authentication. b. Confidentiality. c. message integrity. d. privacy. 30. A ________ is a software application that acts as a filter between a companys private network and the Internet. a. firewall b. virtual private network c. proxy server d. PPTP 31. All of the following are used for authentication except:_____________ a. digital signatures. b. certificates of authority. c. biometric devices. d. packet filters. 32. An account created by depositing funds and from which funds are paid out or withdrawn as needed is a: a. credit card account. b. accumulating balance system. c. stored value payment system. d. none of the above. 33. All of the following are important federal regulations of payment systems except:___________ a. Regulation Z. b. Regulation E. c. EFTA. d. Regulation P. 34. Mondex is an example of a:_______________ a. smart card. Page |5 b. c. d. digital checking payment system. digital credit card. digital accumulating balance payment system. 35. All of the following are examples of scrip except:______________ a. trading stamps. b. point programs. c. smart cards. d. consumer loyalty currency. 36. Which of the following is the major concern of Internet users about purchasing online? a. Security of credit card information b. Privacy of personal information c. Shipping costs d. Product quality 37. CTR is a measure of the: _________________ a. percentage of times an ad is clicked. b. number of times an ad is served. c. number of http requests. d. number of pages viewed. 38. Acquisition rate is a measure of the: ________________ a. percentage of visitors who indicate an interest in a sites products by registering or visiting a products pages. b. percentage of visitors who become customers. c. percentage of existing customers who continue to buy on a regular basis. d. percentage of shoppers who do not return within a year after their initial purchase. 39. Microsofts Banner Advertising Network is an example of a(n):____________ a. banner exchange. b. superstitial network. c. paid search engine program. d. online public relations firm. 40. All of the following are true statements about superstitials except: _______________ a. A superstitial does not play until fully loaded. b. A superstitial is a rich media ad. c. A superstitial differs from an interstitial in that it waits until the user clicks to another page before popping up in a separate window. d. A superstitial can be any screen size display up to 900 500 pixels and with a file size up to 600 KB. 41. Which of the following is the leading industry in terms of dollars spent on online advertising? a. Financial services b. Retail c. Entertainment d. Travel 42. Recency refers to the: _____________________ a. percentage of customers who do not return during the next year after an initial purchase. b. time elapsed since the last action taken by a customer. c. percentage of existing customers who continue to buy on a regular basis. d. percentage of customers who return to the site within a year to make additional purchases. Page |6 43. Which of the following protects original forms of expression in a tangible medium? a. Trade secret law b. Copyright law c. Patent law d. Trademark law 44. Registering a domain name similar or identical to trademarks of others to divert Web traffic to their own sites is an example of:___________ a. cybersquatting. b. cyberpiracy. c. framing. d. metatagging. 45. Internet Corporation Assigning for Numbers and Names (ICANN) was created during what period of the evolution of the governance of e-commerce:_______________________ a. the Government Control Period 19701994. b. Privatization 19951998. c. Self Regulation: 1995-present. d. Government Regulation. 1998present 46. Which of the following is a core Fair Information Practices (FIP) principle? a. Access/Participation b. Security c. Choice/Consent d. Enforcement 47. Pretty Good Privacy (PGP) is an example of a technology that enables:_______________ a. anonymous surfing. b. privacy policy generation. c. anonymous remailing. d. secure e-mail. 48. Which of the following e-commerce technology dimensions opens up the possibility of intensive invasion of privacy for commercial and governmental purposes? a. Richness b. Interactivity c. Personalization/customization d. Ubiquity 49. Which of the following can be used on the Web to gather personal information:__________ a. search engines. b. shopping carts. c. online forms. d. all of the above. 50. Which of the following basic principles plays an important role in defining privacy? a. Responsibility b. Accountability c. Liability d. Due process 51. The placing of a cookie on a users hard drive by one site that is then used by another site to sell that user related products without the knowledge of the user is:____________________ a. legal in the United States but illegal in Europe. b. legal in both the United States and Europe. Page |7 c. d. illegal in both the United States and Europe. illegal in the United States but legal in Europe. 52. Which of the following laws regulates the federal governments collection, use and disclosure of data collected by federal agencies and gives individuals a right to inspect and correct records about themselves? a. The Privacy Protection Act of 1980 b. The Computer Matching and Privacy Protection Act of 1988 c. The Privacy Act of 1974, as amended d. The Freedom of Information Act of 1966 53. Which product category had the highest market penetration rate in 2005? a. Computer hardware/software b. Books c. Travel d. Music/video 54. A ____ is a single channel Web firm that generates almost all its revenues from online sales. a. bricks-and-clicks company b. catalog merchant c. virtual merchant d. manufacturer-direct firm 55. All of the following statements about Dell are true except:______________________ a. Dell is an example of a manufacturer-direct firm. b. Dell uses a supply-push model rather than a demand-pull model. c. Dell had almost $50 billion in revenue in 2005. d. Dell relies on a build-to-order manufacturing process. 56. E-loan.com is an example of a(n):__________________ a. established lending firm moving into the online environment. b. pure online mortgage banker. c. mortgage service company. d. mortgage broker. 57. Which of the following roles do Global Distribution Systems (GDSs) play in the travel services value chain? a. They are suppliers. b. They are intermediaries. c. They are customers. d. None of the above. 58. All of the following statements about the online real estate services market are true except:____ a. The major impact of Internet real estate sites is in influencing offline decisions. b. Real estate differs from other types of online financial services because it is impossible to complete a property transaction online. c. The primary service offered by real estate sites is a listing of house available. d. The Internet and e-commerce had created significant disintermediation in the real estate marketplace. 59. An ________ provides electronic catalogs that represent the products of thousands of direct manufacturers a. e-distributor b. e-procurement company c. exchange d. industry consortium Page |8 60. An ____________ is an independently-owned intermediary connecting hundreds of online suppliers offering millions of maintenance and repair products to business firms who pay fees to join the market. a. e-distributor b. e-procurement Net marketplace c. exchange d. industry consortium 61. A _________ continuously links the activities of buying, making, and moving products from suppliers to purchasing firms, as well as order entry systems. a. MRP system b. ERP system c. VCM system d. Supply Chain Management (SCM) system 62. An e-procurement net marketplace is sometimes referred to as a(n):____________ a. one-to-many market. b. many-to-many market. c. many-to-few market. d. one-to-one market. 63. All of the following statements about EDI are true except:________________ a. EDI is a communications standard for sharing business documents. b. Virtually all large firms have EDI systems. c. EDI systems generally serve horizontal markets. d. EDI systems are owned by buyers. 64. The second step in the procurement process is to:________________________ a. negotiate price, credit terms, etc. b. qualify the seller and its products. c. issue a purchase order. d. ship the goods. 65. The majority of inter-firm trade involves:________________ a. spot purchasing of direct goods. b. contract purchasing of indirect goods. c. contract purchasing of direct goods. d. spot purchasing of indirect goods. 66. The key players in the procurement process are the:_______________ a. adjusters and investigators. b. administrative personnel. c. material recording and scheduling personnel. d. purchasing managers. 67. Automated order entry systems are: _________________ a. buyer-side solutions. b. seller-side solutions. c. hub-and-spoke systems. d. all of the above. 68. The stock market is an example of a(n):______________ a. English auction. b. group buying auction. c. Dutch auction. Page |9 d. double auction. 69. All of the following portals are in the top four in the United States in terms of reach except:__ a. AOL. b. MSN. c. Yahoo. d. Lycos. 70. Which of the following is a community technology that allows users to easily post messages to the entire community? a. Chat b. Message board c. Instant messaging d. E-mail 71. A(n) _________ is created by an organization for the purpose of pursing organizational goals a. interest community b. affinity community c. sponsored community d. practice community 72. Which of the following generates the largest share of media revenues? a. Entertainment b. Television c. Newspapers d. Radio 73. Which of the following three forms of media account for over 80% of the hours spent consuming media? a. Television, radio, Internet b. Television, magazines, Internet c. Internet, radio, and newspapers d. Television, Internet and newspapers 74. All of the following are aspects of content convergence except:________________ a. industry structure. b. design. c. Production. d. distribution. 75. Which of the following occurs first in the process of media convergence? a. Media integration b. Media migration c. Media transformation d. Media maturity 76. The merger of AOL and Time Warner is an example of:________________ a. technological convergence. b. content convergence. c. industry convergence. d. none of the above. 77. A Hollywood film production company that creates a Web site that contains free content about its forthcoming movies is using which type of revenue model: a. subscription. b. pay-per-view. P a g e | 10 c. d. advertising. marketing. 78. Salon.com uses which of the following revenue models:_______________ a. marketing. b. advertising. c. pay-per-view. d. mixed. 79. An e-book that is stored on a publishers server and for which purchasers pay a fee for reading onscreen is an example of a:_______________ a. Web-accessed e-book. b. Web-downloadable e-book. c. print-on-demand e-book. d. custom-published e-book. 80. The primary e-book revenue model is:___________________ a. advertising. b. subscription. c. pay-per-download. d. marketing. 81. All of the following as screen display technologies for e-books except:______________ a. ONIX. b. Clear Type. c. Cool Type. d. E-Ink. 82. All of the following are e-book formats except:______________ a. OEB. b. PDF. c. TK3. d. E-Ink. 83. Which of the following are the top three producers of media revenues? a. Television, Internet and newspapers b. Television, entertainment and newspapers c. Entertainment, Internet, and books d. Entertainment, books and radio 84. The online paid content audience is growing at about ____ a year. a. 6% b. 11% c. 16% d. 24% 85. Which of the following forms of online entertainment is expected to grow the fastest to 2012? a. Film b. Online games c. Music downloads d. Sports 86. Which of the following media companies had the highest 2005 revenues? a. News Corporation b. Viacom/CBS c. AOL/Time Warner P a g e | 11 d. Walt Disney/ABC 87. Which of the following media companies recently purchased MySpace.com? a. AOL/Time Warner b. Viacom/CBS c. Disney/ABC d. News Corporation 88. Music download Web sites offer:____________ a. high user control and high user focus. b. high user control and low user focus. c. low user control and high user focus. d. low user control and low user focus. 89. Newspapers have historically used which of the following revenue models? a. Marketing b. Subscription c. Advertising d. Pay-per-view 90. Which of the following online newspapers charges readers a subscription fee? a. New York Times b. Los Angeles Times c. Washington Post d. Wall Street Journal 91. Which of the following is an example of technological convergence? a. iPods b. WebTV c. Web-enabled cell phone d. All of the above 92. Which of the following is a high-speed, medium-range, broadband wireless metropolitan area network? a. b. c. d. Wi-Fi WiMax Bluetooth ZigBee 93. Which of the following is a very high-speed, fixed broadband wireless LAN technology for the business market? a. b. c. d. Wi-Fi Wi-Fi 5 Wi-Max ZigBee 94. Which of the following is a Web application that enables Internet users to communicate with each other, although not in real time.________ a. b. c. d. Online chat Online forum IM VoIP P a g e | 12 95. Which of the following is the fastest growing streaming audio and video tool? a. b. c. d. Microsofts Media Player Apple Quicktime RealMedia Player Adobe Flash 96. Which Internet telephony firm did eBay purchase in September 2005? a. b. c. d. Vonage Dialpad Communications Skype Teleo 97. Which of the following allows the consumer to enter a maximum price and the auction software automatically bids up the goods to that maximum price in small increments? a. Watch lists b. Proxy bidding c. Sealed bidding d. Price matching 98. a. b. c. d. All of the following types of auctions have a seller bias except:______________ Dutch-traditional. Yankee auction-Internet. Dutch-Internet. double auction. a. b. c. d. All of the following types of auctions have a buyer bias except:______________ sealed bid auction. name your own price. English auction. group buying. 99. 100. Which of the following is not a major trend in B2B e-commerce in 2006? a. Rapid growth of independent Net marketplace exchanges b. Rapid growth in collaborative commerce B2B applications c. Rapid growth of e-procurement firms d. Rapid growth of private industrial networks
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q b u t u(x, t) x2b x
Lund - FMA - 021
t=0 1sin x10u1t=0 (x )2 x0 u2u(x, t)t=x=0 2 x = > 0 t=0 0t=0 c = 1t > 0
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t=0 x x = 0 h(x) = 5(x 1.9) (x 2.1) . u(x, 3) 12t > 0u(x, t) 0 < t < 6 x u(3, t)
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utt uxx = 0u(0, t) = 0u(x, 0) = 0ut (x, 0) = (x 3) (x 6) t = 1 t = 5x > 0, t > 0t>0x>0x>0 t u(x, t) = 0x=1 p0 , p1 p2 0, 1 2 u(x)v (x) ex dx.(u | v ) =0ex p 2
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p f (x) = x(x) 1/21 [1, 1] f = 1 |f (x)|2 dx utt uxx = 0,u(0, t) = 0, u(x, 0) = 0,ut (x, 0) = (x 1),x > 0, t > 0t>0x>0x>0 x u(r, ) = J0 (02 r),t = 1/2 t = 2
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0 < x < 1, t > 0 ut auxx = 0,u(0, t) = u(1, t) = 0,t>0u(x, 0) = 2 sin x + 3 sin 4x, 0 < x < 1 , a L2 (I ), I = (1, 1) p 1 (2x 1)(x) p(x)2 dx .1
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q 2q t = 0 2L
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TENTAMENSSKRIVNINGKONTINUERLIGA SYSTEM 7.5 hp2009-01-09 kl 14 19LUNDS TEKNISKA HGSKOLAMATEMATIKHJLPMEDEL: Utdelade formelblad (Kontinuerliga system + Funktionsteori), Tefyma ellergymnasietabell och minirknare.Lsningarna ska vara frsedda med ordentl
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LUNDS TEKNISKA HOGSKOLAMATEMATIKTENTAMENSSKRIVNINGKontinuerliga system20090527 kl 8 13HJALPMEDEL: Tefyma eller gymnasietabell, utdelad formelsamling i Kontinuerliga systemsamt minirknare.aLsningarna skall vara frsedda med ordentliga motiveringar.
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LUNDS TEKNISKA HOGSKOLAMATEMATIKTENTAMENSSKRIVNINGKontinuerliga system20090824 kl 14 19HJALPMEDEL: Tefyma eller gymnasietabell, utdelad formelsamling i Kontinuerliga systemsamt minirknare.aLsningarna skall vara frsedda med ordentliga motiveringar
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LUNDS TEKNISKA HOGSKOLAMATEMATIKTENTAMENSSKRIVNINGKONTINUERLIGA SYSTEM 7.5 hp20100113 kl 8 13HJALPMEDEL: Tefyma eller gymnasietabell, utdelad formelsamling i Kontinuerliga systemsamt minirknare. Lsningarna skall vara frsedda med ordentliga motiveri
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u(x, t) t=0 xt=0 t 0 u(x, 0) = 100(1 x)0 < x < 12 u u = 0,0 < x < 1, t > 0tx2 u(0, t) = 0, u(1, t) = 100, t > 0u(x, 0) = 100(1 x),0 < x < 1. v (x, t) = u(x, t) 100x 2 v v = 0,0 < x < 1, t > 0tx2 v (0,
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ut uxx = 0,ux (0, t) = 0,ux (2b, t) = 0,u(x, 0) = q (x) (x b), q 2q u(x, t) = +2 0 < x < 2b, t > 0t>0t>00 < x < 2b . sin k k2 2 t/(4b2 )kx2ecosk2bk =13 1 = ex 2 = e2x ex4 ex e2x 10 a1 = 4 a2 = 3 v = u 1 v
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x > 0, t > 0 ut Duxx = 0,ux (0, t) = 0,t>01u(x, 0) = (x 1) (x 1 ), x > 0 u(x, t) x t R u 11+11122e(x) /4Dt d +e(x) /4Dt d =4Dt11x+1x1x1x+1+, erf erf + erf x > 0, t > 0.erf 4Dt4Dt4Dt4Dtu(x, t) = =
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u h 2 u 2u 2 = 0, t2xu(0, t) = 0, u(x, 0) = 0, u (x, 0) = h(x),t u x > 0, t > 0t>0x>0x>0 x R 2 2 uu= 0 , x R, t > 0t2x2xR u (x, 0) = 0, u (x, 0) = h (x), x Rt h u(x, t) = u (x, t) =12x +tx th (y ) dy
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u x = 0 0 ut (x, 0) 1 u(x,1)1012457xu(x,5)1.51012811x u(1, t) = 0 0 t 2 t 7 p0 = 1 p1 (x) = x 1 p2 (x) = x2 4x + 2. p(x) =(p0 |ex )(p1 |ex )(p2 |ex )711p0 +p1 +p2 = x + x2 .p0 2p1 2p2
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32 P0 (x) = 1, P1 (x) = x P2 (x) = x2 1 (u|v ) =(P k | f )ak =(P k | P k ) p(x) =u(x)v (x) dx p(x) =121 2ak Pk (x) f p k =0115 a0 = , a1 = a2 =4216531311511+ x + ( x2 ) =+ x + x2 4216 2232 232 t =
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u(x, t) =d2dx2 uk (t) sin kx k =1(uk (t) + ak 2 2 uk (t) sin kx = 0 .k =1 uk (t) = ck eak2 2 t=0 ck2 sin x + 3 sin 4x = u(x, 0) = ck sin kx,0 < x < 1.k =1 cfw_sinkx k =1 c1 = 2, c4 = 3 ck = 0 u(x, t) = 2ea t
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ut Duxx = 0,ux (0, t) = ux (2L, t) = 0, u(x, 0) = q ,2q, 3q 2q2k =1 cfw_ k 0 v c2 v v (x) = 0 0u = ( 1 ,0,0) (x), |x| < 12u(x) = 1,|x| = 1 .= u 1ln 2 1 0.01323ck = 2k1 , k = 0, 1, 2,
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SVAR OCH ANVISNINGARKONTINUERLIGA SYSTEM 7.5 hp20090109LUNDS TEKNISKA HGSKOLAMATEMATIK1. Lgg in ett koordinatsystem s att den 100 gradiga cylindern ligger i intervallet 0 < x < 1och den 0 gradiga i intervallet 1 < x < 2. Med u(x, t) som temperaturen
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LUNDS TEKNISKA HGSKOLAMATEMATIKLSNINGARKontinuerliga system200905271. Alternativ 1: Vi homogeniserar randvillkoren genom att stta v = u 1. vt vxx = 1v (0, t) = v (1, t) = 0v (x, 0) = 0Sedan anstter vi en sinusserie v (x, t) =k =1 vk (t) sin kx(
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LUNDS TEKNISKA HGSKOLAMATEMATIKLSNINGARKontinuerliga system200908241. Egenvektorer: k = e5x sin kx,k = 1, 2 , . . .Egenvrden:k = 25 + k 2 2 ,k = 1, 2 , . . .110xSkalrprodukt: (u|v ) = 0 u(x)v (x)e dxVid berkning av (1 |2 ) frsvinner exponenti
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LUNDS TEKNISKA HGSKOLAMATEMATIK1. Modell fr 0 < x < 1,Lsning:u(x, t) = 100x +k =1LSNINGARKontinuerliga system 7.5 hp20100113t > 0: ut uxx = 0u(0, t) = 0, u(1, t) = 100u(x, 0) = 100(1 x)20022(1 + (1)k )ek t sin kxk2. Temperaturen r tidsobe