16.Suppose that the dimensions of a cylinder change at constant rates: the radius of the base is decreasing at a rate of 1 cm/min, and its height is increasing at 8cm/min. At the moment when the radius is 5 cm and the height is 25 cm, at what rate are the volume and surface area of the cylinder changing?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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16.Suppose that the dimensions of a cylinder change at constant rates: the radius of the base is decreasing at a rate of 1 cm/min, and its height is increasing at 8cm/min. At the moment when the radius is 5 cm and the height is 25 cm, at what rate are the volume and surface area of the cylinder changing?

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