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Aneli [31]
2 years ago
15

A12 means that the exponent of an arithmetic function is 12 TRUE or FALSE

Mathematics
1 answer:
allsm [11]2 years ago
8 0
The answers is true
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3 years ago
The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac
nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

\displaystyle A=\frac{1}{2}\pi r^2

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx

Substitute:

\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx

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\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx

Integrate:

\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]

Evaluate:

\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3

The volume of the solid is π/40 cubic units.

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Step-by-step explanation:

2020

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Step-by-step explanation:

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Step-by-step explanation:

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