On the interval [0, 2], the graphs of f(x) = x 2 /3 and g(x) = x

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On the interval [0, 2], the graphs of f(x) = x2/3 and g(x) = x2(9 - x2)-1/2 have similar shapes.

a. Find the area of the region bounded by the graph of f and the x-axis on the interval [0, 2].

b. Find the area of the region bounded by the graph of g and the x-axis on the interval [0, 2].

c. Which region has greater area?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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