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pochemuha
3 years ago
11

Students at the college are allowed to work on campus

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer: theres a website called weegy did you try that?

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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
What is the length of the blue in the circle<br> o below
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Answer:

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Step-by-step explanation:

we know that

The triangle OAB is congruent with the triangle OCD

because

OA=OB=OC=OD=radius circle O

AB=CD

therefore

The height of both triangles is equal to 8.53 units

The segment blue is equal to 8.53 units

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It helps you know what to multiply and the product when you subtracting and adding fractions.
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What are the real roots of the equation
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