Question
Asked Nov 28, 2019
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problem in photo attached

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves x
about the line y = 4?
y = 7 and X = 4
2T(4-y)(4
Vy2 +7) dy
А.
-3
3
.2r(y-4) ( 4- Vy2 +7) dy
-3
2т(у + 4) у у2 +7 dy
C
4
. 2T(y-4)(4- Vy2 +7) dy
.| 2T(y + 4)y2 7 dy
-3
4
2т (4 — у)(4 — уу2 + 7) dy
V
F.
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Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves x about the line y = 4? y = 7 and X = 4 2T(4-y)(4 Vy2 +7) dy А. -3 3 .2r(y-4) ( 4- Vy2 +7) dy -3 2т(у + 4) у у2 +7 dy C 4 . 2T(y-4)(4- Vy2 +7) dy .| 2T(y + 4)y2 7 dy -3 4 2т (4 — у)(4 — уу2 + 7) dy V F.

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Expert Answer

Step 1

Refer to the question we need to find the volume of the solid obtained by rotating the region bounded by the provided curves about the line y=4.

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curve 1 =x2 -y = 7 x 4 And Rotated about the line y = 4

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Step 2

Now sketch the graph of the provided data as,

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y-4 (4, 3) 2 x-4 2 0 (4,-3) -4-

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Step 3

Use the Shell Method to find the volume w...

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V = 2 r(y)h(y)cdv

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Math

Calculus