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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
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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