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oksian1 [2.3K]
3 years ago
15

Use the shell method to compute the volume (CALCULUS HELP!!!)

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Use the shell method. The volume is

<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>

<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>

<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸

<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸

<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

<em>V</em> = 891<em>π</em>/2

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Hello from MrBillDoesMath!

Answer:

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Discussion:

I think you are asking for the derivative of  (3x) ^ (1/2)  -- the square root of both 3 and x.  

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(  3^(1/2) ) *  (1 / 2) *  (1/  x^(1/2) ) =




It's straightforward but using a keyboard over complicates its appearance

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