hw-06-5-avg-function-value

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

This preview shows pages 1–2. Sign up to view the full content.

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:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 09/08/2011 for the course MATH 121 at Eastern Michigan University.

### Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online