BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 39E

(A)

To determine

To draw:

The graph of the given function

Expert Solution

Explanation of Solution

Given:

The function is

  f(x)=x43x36x2+7x+30

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  f(x)=x43x36x2+7x+30...................(1)

Draw the table

  f(x)=x43x36x2+7x+30

Test one point in each of the region formed by the graph

If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function

    xaxis3.063.393.452.55
    yaxis3.06011

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.1, Problem 39E , additional homework tip  1

(B)

To determine

To draw:

The graph of the given function

Expert Solution

Explanation of Solution

Given:

The function is

  f(x)=x43x36x2+7x+30

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  f(x)=x43x36x2+7x+30f(x)=4x39x212x+7...................(1)

Draw the table

  f(x)=4x39x212x+7

Test one point in each of the region formed by the graph

If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function

    xaxis00.50.481.25
    yaxis710.2500

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.1, Problem 39E , additional homework tip  2

(C)

To determine

To draw:

The graph of the given function

Expert Solution

Explanation of Solution

Given:

The function is

  f(x)=x43x36x2+7x+30

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

  f(x)=x43x36x2+7x+30...................(1)

Draw the table

  f(x)=x43x36x2+7x+30

Test one point in each of the region formed by the graph

If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function

    xaxis3.063.393.452.55
    yaxis3.06011

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.1, Problem 39E , additional homework tip  3

Draw the table

  f(x)=4x39x212x+7

Test one point in each of the region formed by the graph

If the point satisfies the function then shade the entire region to denote that every point in the region satisfies the function

    xaxis00.50.481.25
    yaxis710.2500

  Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 3.1, Problem 39E , additional homework tip  4

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