BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2.3, Problem 38E

a.

To determine

To find the local maximum and local minimum of the function

Expert Solution

Explanation of Solution

Given information : the function is g(x)=x58x3+20x .

Graph : Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression x42x311x2 which is required to graph.

Step 4: Press GRAPH button to graph the function.

Step 5: Using TRACE feature on the calculator

The graph is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 38E , additional homework tip  1

From the above graph, it can be observed that the local maximum 7.86 when x1.92 , local maximum 13.02 when x1.01 and the local minimum 13.02 when x1.036 , local minimum 7.86 when x1.92

b.

To determine

To find the interval on which the function is increasing and on which the function is decreasing up to two decimal

Expert Solution

Answer to Problem 38E

The function f is decreasing on (1.92,1.036)(1.01,1.92) and increasing on (,1.92][1.036,1.01][1.92,) .

Explanation of Solution

Given information :

The function is g(x)=x58x3+20x .

The graph of the function is obtained as:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 38E , additional homework tip  2

Using TRACE feature on the calculator,

From the above graph, it can be observed that the function f is decreasing on (1.92,1.036)(1.01,1.92) and increasing on (,1.92][1.036,1.01][1.92,)

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