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2 years ago

9

Which is the domain of the function shown in the graph?

1 answer:

vagabundo [1.1K]2 years ago

6 0

Which is the domain of the function shown in the graph?

A. x ≤ 3

B. -∞ < x < ∞ ( ✔ )

C. x > 0

D. x ≥ 3

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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 value of f(5) ?

qwelly [4]

Answer:

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Step-by-step explanation:

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3 years ago

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Lisa [10]

Answer:

Step-by-step explanation:

-8×+40>-16

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Step-by-step explanation:

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