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Alexus [3.1K]
3 years ago
9

For the given function, x can have what value?

Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

Answer:

x cannot be -4,-3, or 13

x can be anything else

Step-by-step explanation:

There are infinitely many values x can take where the relation above will be a function.

For it to be a function, you just need to make sure each x is only assigned one y value.

So x couldn't be -4 because it would by assigned to y=2 and y=0.

x couldn't be -3 because it would be assigned to y=1 and y=0.

x couldn't be 13 because it would be assigned to y=5 and y=0.

So as long as x is not chosen to be -4,-3, or 13 your relation here is a function.

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<u>Step-by-step explanation:</u>

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3 years ago
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where R is the interior of the joined surfaces S\cup D.

Compute the divergence of \vec F:

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\displaystyle\iiint_Rx^2+y^2+z^2\,\mathrm dV=\int_0^{\pi/2}\int_0^{2\pi}\int_0^3\rho^4\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\frac{486\pi}5

From this we need to subtract the contribution of

\displaystyle\iint_D\vec F(x,y,z)\cdot\mathrm d\vec S

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\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath

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