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Kobotan [32]
3 years ago
8

Can I have some help please​

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

-8

Step-by-step explanation:

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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
Irina18 [472]

For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has

• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5

• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

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3 years ago
At the library you find nine books on a certain topic the librarian tells you that 55% of the books on this topic have been sign
sleet_krkn [62]
9 x 0.55 = 4.95, which can be rounded to the ones place.

5 books remain.
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3 years ago
Solve 8 x (b + 57) = _____ + _____
olga2289 [7]

Answer:

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8x(b + 456)

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<em>I hope it helps! Have a great day!</em>

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How to factor 6x^2 + 8x + 7x + 21?
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(23+15x) when you add this you will have your answer
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