Question
Asked Sep 10, 2019

Find the exact area of the surface obtained by rotating the curve about the x-axis. 

x=1/3(y2 + 2) 3/2 , 3<=y<=4

check_circleExpert Solution
Step 1

The given curve is,

3 y4
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3 y4

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Step 2

The surface area of a curve rotated about the x-axis is given by the following equation.

S-2y ds
where, ds +x
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S-2y ds where, ds +x

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Step 3

Obtain the derivative and ds value of...

+2)(2)
d 1 3
dy 3 2
-y(2
dx
1+
-1+y y+2)
dy
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+2)(2) d 1 3 dy 3 2 -y(2 dx 1+ -1+y y+2) dy

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Tagged in

Math

Calculus

Derivative