PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

8th Edition

ISBN: 9781337904285

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 3.1, Problem 59E

To determine

To sketch : the graph of the function

Expert Solution

Explanation of Solution

Given information : Use graphing device to graph the function f(x)=x3ex

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 x3ex which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 3.1, Problem 59E

To determine

To find : the open interval where the function is increasing or decreasing

Expert Solution

Answer to Problem 59E

The interval is increasing on (−3,∞) and decreasing on (−∞,−3)

Explanation of Solution

Given information : The function is f(x)=x3ex

Calculation :

From the part (a) the function is increasing on the interval (−3,∞) and the function is decreasing on the interval (−∞,−3)

To determine

To calculate : the relative maximum and minimum of the function

Expert Solution

Answer to Problem 59E

The relative minimum is −1.344

Explanation of Solution

Given information : The function is f(x)=x3ex

Calculation :

The function has a relative minimum in the point

(−3,−1.344)ymin≈−1.344

The function has no relative maximum

Chapter 3.1, Problem 58E

Chapter 3.1, Problem 60E

Chapter 3 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP Ch. 3 - Prob. 14STP Ch. 3 - Prob. 15STP Ch. 3 - Prob. 16STP Ch. 3 - Prob. 17STP Ch. 3 - Prob. 18STP Ch. 3 - Prob. 19STP Ch. 3 - Prob. 20STP Ch. 3 - Prob. 21STP Ch. 3 - Prob. 22STP Ch. 3 - Prob. 23STP Ch. 3 - Prob. 24STP Ch. 3 - Prob. 25STP Ch. 3 - Prob. 26STP

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