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Tatiana [17]
2 years ago
9

The sum of two numbers is 38 . the smaller number is 16 less than the larger number. what are the numbers?

Mathematics
1 answer:
STatiana [176]2 years ago
5 0
Let x be the number mentioned

Two numbers: x, x-16

38 = x + x-16

54 = 2x

X = 27

The numbers are 27, 11
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Then the surface integral is equivalent to

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We have

\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle
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So the surface integral is equivalent to

\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du
=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv
=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw

where w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv.

=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}
=\dfrac{243}2\pi
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