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116 Team Homework 1 - Math Team Homework Reporter Kevin...

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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,
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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
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(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
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Chapter 5 Review #38 The graphs in Figure 5.79 represent the velocity, v, of a particle moving along the x-axis for time ≤ ≤ 0 t 5 . The vertical scales of all graphs are the
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