Use a graphing utility to verify that the functions f(x) = sin kx have a period of

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Use a graphing utility to verify that the functions f(x) = sin kx have a period of 2π/k, where k = 1, 2, 3, . . . Equivalently, the first “hump” of f(x) = sin kx occurs on the interval [0, π/k). Verify that the average value of the first hump of f(x) = sin kx is independent of k. What is the average value?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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