The function y = 4 -(x 2 /4) on the interval [0, 4] is revolved about the

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The function y = 4 -(x²/4) on the interval [0, 4] is revolved about the line y = b (see figure).

(a) Find the volume of the resulting solid as a function of b.

(b) Use a graphing utility to graph the function in part (a), and use the graph to approximate the value of b that minimizes the volume of the solid.

(c) Use calculus to find the value of b that minimizes the volume of the solid, and compare the result with the answer to part (b).

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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: May 04, 2023 04:24 AM

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The function y = 4 -(x 2 /4) on the interval [0, 4] is revolved about the

Question:

- 1 4 -2 y y = b 3 4 X

Step by Step Answer:

a V 4b 2 6...View the full answer

Calculus Of A Single Variable

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