Find the area of the region pictured below that is bounded by the functions v(y) = 3y – 6, u(y) = −6y + 12, and the y-axis. Find the area by integrating along the x-axis. Enter your answer as an exact answer. v(y) -4 -3 -2 Provide your answer below: A = units² 3 1 -1 Y A 1 3 4 5 6 7 u(y) 8 9 10 11 12 13

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 72E
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Find the area of the region pictured below that is bounded by the functions v(y) = 3y – 6,
u(y) = −6y + 12, and the y-axis. Find the area by integrating along the x-axis.
Enter your answer as an exact answer.
-4
A =
v(y)
Provide your answer below:
units
-3 -2
3
1
Y
0
H
1
2
3
4
5
6
7
u(y)
8
9
10
11
12
13
Transcribed Image Text:Find the area of the region pictured below that is bounded by the functions v(y) = 3y – 6, u(y) = −6y + 12, and the y-axis. Find the area by integrating along the x-axis. Enter your answer as an exact answer. -4 A = v(y) Provide your answer below: units -3 -2 3 1 Y 0 H 1 2 3 4 5 6 7 u(y) 8 9 10 11 12 13
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