The graphs of f(x) and g(x) are shown in the figure below. Region R is bounded by f(x), g(x), x=-1, and x =2.. Which of the following represents the volume of the solid generated when R is rotated around the line y=-3? y
The graphs of f(x) and g(x) are shown in the figure below. Region R is bounded by f(x), g(x), x=-1, and x =2.. Which of the following represents the volume of the solid generated when R is rotated around the line y=-3? y
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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 21E
Related questions
Question
![The graphs of f(x) and g(x) are shown in the figure below. Region R is bounded by
f(x), g(x), x= -1, and x=2.. Which of the following represents the volume of the solid
generated when R is rotated around the line y=-3?
у 4
-3
Select one:
O a.
O b.
O C.
O d.
Check
-2
π
1
πT
1
i
2
1
-2
T
7 S² [(f(x)- 3)² – (g(x)-3)²]dx
-3-
[(g(x) + 3)² – (f(x)+ 3)²]dx
((x) + 3)²-(g(x)-3)-²x
T
π S²_[(f(x) + 3)² – (g(x)+3)³]dx
-1
i
1
2
y=-3
f(x)/
3
g(x)
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf9dafc6-bac8-41ec-a856-62d58445bc24%2F5948666b-ad1b-43ff-869a-c41716ca9aee%2Fegsh8ll_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The graphs of f(x) and g(x) are shown in the figure below. Region R is bounded by
f(x), g(x), x= -1, and x=2.. Which of the following represents the volume of the solid
generated when R is rotated around the line y=-3?
у 4
-3
Select one:
O a.
O b.
O C.
O d.
Check
-2
π
1
πT
1
i
2
1
-2
T
7 S² [(f(x)- 3)² – (g(x)-3)²]dx
-3-
[(g(x) + 3)² – (f(x)+ 3)²]dx
((x) + 3)²-(g(x)-3)-²x
T
π S²_[(f(x) + 3)² – (g(x)+3)³]dx
-1
i
1
2
y=-3
f(x)/
3
g(x)
X
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