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Andrews [41]
3 years ago
13

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

<em>π∫52(ey3)2dy</em>

The work I did to solve this equation:

Step 1

<em>ln(3x)=2 </em>

<em>3x=2e </em>

<em>x=2e3 </em>

Step 2

<em>ln(3x)=5 </em>

<em>3x=5e </em>

<em>x=5e3</em>

Step 3

<em>y=ln(3x)⟺ey=3x⟺ey3=x</em>

Step 4

π∫52(ey3)2dy

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The slope of y = 4x – 2 is 4
The slope of a line parallel to y = 4x – 2 is  4
The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = 4x + 9</span>
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