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NARA [144]
3 years ago
6

Find the perimeter. Simplify your answer.

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

26s +24

Step-by-step explanation:

The perimeter is the total length of all its sides.

Perimeter

= 10s +3 +3s +9 +10s +3 +3s +9

= 10s +3s +10s +3s +3 +9 +3 +9

= 26s + 24

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Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 4 and
Nadusha1986 [10]
Call the surface S; then the area of S is given by the surface integral

\displaystyle\iint_S\mathrm d\mathbf S

Parameterize the surface by

\mathbf r(u,v)=\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2\cos^2v-u^2\sin^2v=u^2\cos2v\end{cases}

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\displaystyle\iint_S\mathrm d\mathbf S=\int_{v=0}^{v=2\pi}\int_{u=2}^{u=4}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv
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where w=1+4u^2\implies\mathrm dw=8u\,\mathrm du

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3 years ago
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What is the perimeter
Rufina [12.5K]

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(5x - 7x) + (8 - 5)

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~

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