To find the average rate of change of f between x = 0 and x = 2 and x = 15 and x = 50

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2, Problem 61RE

a.

To determine

To find the average rate of change of f between x=0 and x = 2 and x=15 and x = 50

Expert Solution

The average rate of change of f between x=0 and x = 2 is 12 and of x=15 and x = 50 is 12 .

Explanation of Solution

Given: The given function is f(x)=12x6

Calculation:

f(x)=12x6

=f(50)f(15)5015=193235=383235=352(135)=12

We get,

and f(2)=12(2)6           =16            =5

So we get ,

f(2)=5

Hence the average rate of change

=f(2)f(0)20=5(6)2=5+62=12

Hence the average of change of f between.

x=0x=2 is 12

Now we find f(15)and f(50) as follows;

f(15)=12(15)6        =15122        f(15) =32

So, we get

f(15) =32

And

f(50)=12(50)6        =256         =19

We get

f(50) =19

Hence the average rate of change is,

=f(50)f(15)5015=193235=383235=352(135)=12

Hence the average of change of f between.

x=15x=50 is 12

b.

To determine

Expert Solution