Let a > 0 be a real number and consider the family of functions f(x) = sin

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Let a > 0 be a real number and consider the family of functions f(x) = sin ax on the interval [0, π/a]. 

a. Graph f, for a = 1, 2, 3.

b. Let g(a) be the area of the region bounded by the graph of f and the x-axis on the interval [0, π/a]. Graph g for 0 < a < ∞. Is g an increasing function, a decreasing function, or neither?

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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