Question

In: Math

Find the volume of the solid generated by revolving the region bounded by the graphs of...

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.

y =

1
3x + 5

y = 0

x = 0

x = 7

Solutions

Expert Solution

we are given functions as

it is rotated about x-axis

so, we can use disc method

bound is from 0 to 7

now, we can set up integral

we can use u-subs

u=3x+5

du=3dx

now, we can plug bounds

and we get

..........Answer


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