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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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natulia [17]

Hi Vanessa


3x -1/9 (27) =18

3x - 27/9 =18

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Add 3 to both sides

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Divide both sides by 3

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x= 7

The value of x is 7


Now let's check if my answer is correct

To check it we gonna replace x by 7 and 27 for y

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21- 27/9 = 18

21- 3 = 18

18 = 18


The answer is good and I hope its help:0

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