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Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 10.3 - Problem 29e
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 10.3 - Problem 29e

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# 8.8, it was shown that the Legendre polynomials Pn(x) are ISBN: 9780321747730 43

## Solution for problem 29E Chapter 10.3

Fundamentals of Differential Equations | 8th Edition

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Problem 29E

In Section 8.8, it was shown that the Legendre polynomials Pn(x) are orthogonal on the interval [-1,1] with respect to the weight function w(x)=1. Using the fact that the first three Legendre polynomials are find the first three coefficients in the expansion Where f(x) is the function

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2.1 The Idea of Limits distance Average velocity = time = slope of secant line Secant line – the line between two points on a graph Sparky’s average speed if he goes 8 miles in the span of 2 hours. 8mi 2hrs4mph Ex. An acrobat swings from a rope. Her displacement at time t is given by 3sint. What is her average velocity on the following intervals distance3 π = 6 [0, 2 ] time π ¿π 1.9099 2 distance ¿3sin.5 [0, .5] time .5 ~ 2.8766 distanc3sin.1 [0, .1] time = .1 ~ 2.9950

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##### ISBN: 9780321747730

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