hw-06-5-avg-function-value

hw-06-5-avg-function-value - Homework for Chapter 6.5...

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Homework for Chapter 6.5: Average Value of a Function For the problems that involve a little bit of numeric computation, feel free to use Excel or some other similar program. If you see a shortcut, you may take it, as long as you write down that you are taking the shortcut. Drill problems: 1: 4x-x^2 on [0,4] 2: sin 4x on [-pi,pi] 3: cube root of x on [1,8] 4: x^2 * sqrt(1+x^3) on [0,2] 10: sqrt(x) on [0,4] 11: 2 sin(x) - sin(2x) on [0,pi] (note: part (b) can't be solved by hand--use a graphing calculator) 15: midpoint rule for average value of a data table. Compare your answer to the simple average of the y values given. 16: average velocity of a car Applied problems: 17: average temperature from 9am to 9pm 22: avg. flow velocity Question A: Use the Midpoint rule with n=6 to find the average value of the function f(t) = exp(-cos(t)) on the interval [0,2 pi]. These functions (e to the power of a sine/cos wave) are used in modeling arrival rates that vary cyclically in time. Question B:
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This note was uploaded on 09/08/2011 for the course MATH 121 at Eastern Michigan University.

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hw-06-5-avg-function-value - Homework for Chapter 6.5...

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