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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

Let f ( x ) = x 3 16 x + 1 ; then  f ' ( x ) = 2 x 3 + 16 x 2  and  f " ( x ) = 2 x 3 32 x 3 .

Use these to determine whether the following are true or false.

(a) There are no asymptotes.

(b) f ' ( x ) = 0  when  x =-2

(c) A partial sign diagram for f ' ( x ) is

Chapter 10.5, Problem 2CP, 2. Let .
Use these to determine whether the following are true or false.
(a) There are no , example  1

*means that f ' ( 0 ) is undefined.

(d) There is a relative minimum at x = 2 .

(e) A partial sign diagram for f " ( x ) is

Chapter 10.5, Problem 2CP, 2. Let .
Use these to determine whether the following are true or false.
(a) There are no , example  2

*means that/"(0) is undefined.

(f) There are points of inflection at x = 0 and x = 16 3 .

(a)

To determine

Whether the provided statement “f(x)=x316x+1 has no asymptotes.” is true or false.

Explanation

Consider the provided function,

f(x)=2x+10x1

Now, it is a rational function and the vertical asymptote of a rational function y=f(x)g(x) exists at x=c where g

(b)

To determine

Whether the provided statement “f(x)=0 when x=2 if f(x)=2x3+16x2.” is true or false.

(c)

To determine

Whether the provided statement is true or false “A partial sign diagram for f(x) is

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.5, Problem 2CP , additional homework tip  1

if f(x)=x316x+1 and f(x)=2x3+16x2

(d)

To determine

Whether the provided statement “There is a relative minimum at x=2 if f(x)=2x3+16x2” is true or false.

(e)

To determine

Whether the provided statement “A partial sign diagram for f(x) is

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.5, Problem 2CP , additional homework tip  2

if f(x)=2x332x3.” is true or false.

(f)

To determine

Whether the provided statement “There are points of inflection at x=163 and x=0 if f(x)=2x332x3.” is true or false.

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Chapter 10 Solutions

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