Chapter 11.4, Problem 24E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

*Tumor growth* For Problems 23 and 24, suppose that a tumor in a person’s body has a spherical shape and that treatment is causing the radius of the tumor to decrease at a rate of 1 mm per month.

At what rate is the surface area of the tumor decreasing when the radius is 3 mm? (Recall that for a sphere,

To determine

**To calculate:** The rate at which the surface area of tumor decreasing when the radius is

Explanation

**Given Information:**

The radius is

**Formula used:**

Surface area of a sphere of radius

**Calculation:**

As it is provided that the radius is

Now, the surface area of a sphere is,

To obtain the rate of change of area, differentiate above equation with respect to

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