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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 4, Problem 65RE

**(a)**

To determine

**To find: **

The height in order to maximize the intensity of illumination.

Expert Solution

The light pole should be

**Given:**

The equation is

**Concept used:**

If the quantities

For some constant

That is y varies inversely proportional as

The constant

**Calculation:**

The original equation given in order utilize variable that can be easily solved the given diagram

Now after substituting

Differentiating with respect to

Using the zero product property of the equation

The light pole should be

**(b)**

To determine

**To find: **

The rate of change of the intensity of the light equation.

Expert Solution

The value for the rate of the intensity of the light at the point on the woman’s back is

**Given:**

The equation is

**Concept used:**

If the quantities

For some constant

That is y varies inversely proportional as

The constant

**Calculation:**

The original equation given in order utilize variable that can be easily solved the given diagram

Now after substituting

Using the zero product property of the equation

The light pole should be

The equation is

Differentiating with respect to

The value for the rate of the intensity of the light at the point on the woman’s back is