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Unformatted text preview: Math Team Homework Reporter  Kevin Swieca Manager  Samantha Superstine Scribe – Andrew Fayad Clarifier – Kwangwon Seong Reporter’s Report: The team met on Tuesday September 11 after class in the math lab. Everyone equally worked together to solve the problems and come to an agreement on the answers and their explanations. The time spent in the meeting was over an hour. Later, Andrew, the scribe, typed the final report which was reviewed by other team members. Chapter 5 Review # 36, 38, 46 Section 6.1: 24 Section 012 9/13/07 Chapter 5 Review #36 For the even function f graphed in Figure 5.78: (a) Suppose you know 02fxdx . What is 22fxdx ? (b) Suppose you know 05fxdx and 25fxdx . What is 02fxdx? (c) Suppose you know  . 25fxdx and 22fxdx What is 05fxdx? Figure 5.78 can be seen on page 275. Solutions with Explanations: (a) If f is even, then  22fxdx = 2 . 02fxdx Symmetry was used to calculate the integral of the even function. (b) According to theorem 5.3, the integral of the difference of two functions is the difference of their integrals. 02fxdx = 05fxdx 25fxdx (c) ,  , To find05fxdx we first found 20fxdx by using the ;  =( / ) theorem for even functions 20fxdx 1 2 22fxdx . After ,  finding this answer you subtract it from 25fxdx using . . theorem 5 3 = 05fxdx 25fxdx 20fxdx Chapter 5 Review #38 The graphs in Figure 5.79 represent the velocity, v, of a particle moving The graphs in Figure 5....
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This note was uploaded on 04/01/2008 for the course MATH 116 taught by Professor Irena during the Fall '07 term at University of Michigan.
 Fall '07
 Irena
 Math

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