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To solve: The function is defined on the interval ,
a. Graph .
In (b)-(e), approximate the area under from 0 to 6 as follows:
![Check Mark](/static/check-mark.png)
Answer to Problem 10AYU
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. Partition into three subintervals of equal length 2 and choose as the left endpoint of each subinterval.
![Check Mark](/static/check-mark.png)
Answer to Problem 10AYU
b. 48
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
; ; ; ; ; ;
b. Partition into three subintervals of equal length 2 and choose as the left endpoint of each subinterval.
The area is approximated as
To solve: The function is defined on the interval ,
c. Partition into three subintervals of equal length and choose as the right endpoint of each subinterval.
![Check Mark](/static/check-mark.png)
Answer to Problem 10AYU
c. 96
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
; ; ; ; ; ;
c. Partition into three subintervals of equal length 2 and choose as the right endpoint of each subinterval.
The area is approximated as
To solve: The function is defined on the interval ,
d. Partition into six subintervals of equal length and choose as the left endpoint of each subinterval.
![Check Mark](/static/check-mark.png)
Answer to Problem 10AYU
d. 60
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
; ; ; ; ; ;
d. Partition into six 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 ,
e. Partition into six subintervals of equal length and choose as the right endpoint of each subinterval.
![Check Mark](/static/check-mark.png)
Answer to Problem 10AYU
e. 84
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
; ; ; ; ; ;
e. Partition into six subintervals of equal length 1 and choose as the right endpoint of each subinterval.
The area is approximated as
To solve: The function is defined on the interval ,
f. What is the actual area ?
![Check Mark](/static/check-mark.png)
Answer to Problem 10AYU
f. 72
Explanation of Solution
Given:
The function is defined on the interval .
Calculation:
; ; ; ; ; ;
f. The actual area under the graph of from 0 to 6 is the area of a right triangle whose base is of length 6 and whose height is 24. The actual area is
Therefore
Chapter 14 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus & Its Applications (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus Enhanced with Graphing Utilities (7th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
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