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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.3, Problem 58E

a.

To determine

To explain why the local maxima and minima of

Expert Solution

The local maxima and minima of

**Given information: **

the function is

The local maxima of

Similarly,

The local minima of

Hence,

The local maxima and minima of

b.

To determine

To express

Expert Solution

**Given information: **

**Formula used:**

Distance between two point

**Calculation:**

Therefore,

Use distance formula,

Hence,

c.

To determine

To find the minimum value of the function

Expert Solution

The minimum value of the function

**Given information: **

**Calculation:**

The function is

Use the principle describe in part (a) that the local maxima and minima of

Compare

The graph of

There appears to be one local minimum at

Hence,

Using maximum command, the local minimum value of

Since, the local maxima and minima of

Hence, localminima of

So, the minimum value of

Hence,

The minimum value of the function