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3 years ago

What is the answer to the question

Mathematics

1 answer:

Simora [160]3 years ago

3 0

One side: y+4
Second side: y+4+2=y+6
Third side: 2(y+4)-3= 2y+8-3= 2y-5
Perimeter = y+4+y+6+2y-5= 4y+5

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saw5 [17]

Treat $\mathcal C$ as the boundary of the region $\mathcal S$ , where $\mathcal S$ is the part of the surface $z=2xy$ bounded by $\mathcal C$ . We write

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with $\mathbf f=(y+7\sin x,z^2+9\cos y,x^3)$ .

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so the line integral is equivalent to

$\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\mathrm d\mathbf S$
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$\mathbf s(u,v)=(u\cos v,u\sin v,2u^2\cos v\sin v)=(u\cos v,u\sin v,u^2\sin2v)$

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and the integral becomes

$\displaystyle\iint_{\mathcal S}(-2u^2\sin2v,-3u^2\cos^2v,-1)\cdot(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv$
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Type into your calculator (if you haven't already): log 54.

My result: was similar to yours.

Note, however, that we're supposed to round off these results to the nearest thousandths (not thousand).

Your 1.73239 would need to be rounded off to 1.732, with 2 being the nearest thousandths.

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Step-by-step explanation:

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