2 years ago

6x(4²-9) help please

Mathematics

1 answer:

Anastasy [175]2 years ago

5 0

The answer will be 42x. Can I have brainliest if you don’t mind?

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Step-by-step explanation:

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valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
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Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

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and keeping $z$ as is. Then the volume element becomes

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and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
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Bumek [7]

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3 years ago

What is the sum of the first six terms of the geometric series?

Lana71 [14]

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Step-by-step explanation:

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