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The surface of a machine part is the region between the graphs of y = |x| and

Question:

The surface of a machine part is the region between the graphs of y = |x| and x² + (y - k)² = 25 (see figure).

(a) Find k when the circle is tangent to the graph of y = |x|.

(b) Find the area of the surface of the machine part.

(c) Find the area of the surface of the machine part as a
function of the radius r of the circle.

Transcribed Image Text:

(0, k) X

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Calculus

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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