A sphere of radius 4 is dropped into the paraboloid given by z = x + y.

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A sphere of radius 4 is dropped into the paraboloid given by z = x² + y². 

(a) How close will the sphere come to the vertex of the paraboloid?

(b) What is the radius of the largest sphere that will touch the vertex?

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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