Let f ( x) = x for 0 < x < 1, and let m( x) = _2 sin(m x). a. Find the coefficients bm

Chapter 11, Problem 2

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Let f ( x) = x for 0 < x < 1, and let m( x) = _2 sin(m x). a. Find the coefficients bm in the expansion of f ( x) in terms of 1( x), 2( x), . . . . b. Calculate the mean square error Rn for several values of n and plot the results. c. Find the smallest value of n for which Rn < 0.01. C

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