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Pavlova-9 [17]
3 years ago
12

Suppose a-b=0a−b=0a, minus, b, equals, 0 and a,b\ne0a,b≠0a, comma, b, does not equal, 0. which one of these expressions equals \

dfrac{b}{a} a b ​ start fraction, b, divided by, a, end fraction ?
Mathematics
2 answers:
Mice21 [21]3 years ago
8 0

Answer:

it is given that

a-b=0

Adding , b to both sides

→a-b+b=0+b

→a=b

Dividing both sides by , b we get

\frac{b}{a}=\frac{b}{b}\\\\ \frac{b}{a}=1

So,Among the expression given above, which is equivalent to \frac{b}{a}

Option 1: a-b=0

frozen [14]3 years ago
6 0

the answer is \frac{a}{b}

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\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du

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

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