Consider the graphs of y = x and y = b, where b > 0. (a) Sketch

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Consider the graphs of y = x² and y = b, where b > 0.

(a) Sketch a graph of the region.

(b) Use the graph in part (a) to determine  x̅. Explain.

(c) Set up the integral for finding My. Because of the form of
the integrand, the value of the integral can be obtained
without integrating. What is the form of the integrand?
What is the value of the integral? Compare with the result
in part (b).

(d) Use the graph in part (a) to determine whetherExplain.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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