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To solve: The function is defined on the interval ,
a. Graph .
indicating the area under from 0 to 4.
![Check Mark](/static/check-mark.png)
Answer to Problem 15AYU
a.
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
a. Graph
To solve: The function is defined on the interval ,
b. Approximate the area by Partition into four subintervals of equal length and choose as the left endpoint of each subinterval.
![Check Mark](/static/check-mark.png)
Answer to Problem 15AYU
b. 36
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
b. Partition into four subintervals of equal length 1 and choose as the left endpoint of each subinterval.
The area is approximated as
To solve: The function is defined on the interval ,
c. Approximate the area by Partition into eight subintervals of equal length and choose as the left endpoint of each subinterval.
![Check Mark](/static/check-mark.png)
Answer to Problem 15AYU
c. 49
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
c. Partition into eight subintervals of equal length and choose as the left endpoint of each subinterval.
The area is approximated as
To solve: The function is defined on the interval ,
d. Express the area as an integral.
![Check Mark](/static/check-mark.png)
Answer to Problem 15AYU
d.
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
d. Express the area as an integral.
The area as an integral is
To solve: The function is defined on the interval ,
e. Use a graphing utility to approximate the integral.
![Check Mark](/static/check-mark.png)
Answer to Problem 15AYU
e. 64
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
e. Use a graphing utility to approximate the integral.
That is evaluate the integral.
The value of the integral is 64, so the area under the graph of from 0 to 4 is 64.
Chapter 14 Solutions
Precalculus
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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