Question
Asked Dec 2, 2019
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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y = 4x2:
2x y = 6 about the X-axis.
and
Volume
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Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the curves y = 4x2: 2x y = 6 about the X-axis. and Volume

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Expert Answer

Step 1

The solid bounded by the given curves and rotating about x axis

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y 4x line equation 2x+y 6

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Step 2

First find the point of intersection to cut by the line and solid

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y 4x 1 2x 6(2) y 6-2x from (1 6-2x 4x 4x22x-6 0 2x2x3 0 3 substitute the values into (2) y 4, y 9

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Step 3

Make the graph of so...

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10 (0, 6) (-1.5, 9) (1,4) 10 10 0 --10

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Math

Calculus