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alexandr402 [8]
3 years ago
15

SOLVE for me. All multiple choice

Mathematics
1 answer:
tester [92]3 years ago
6 0

9: B right

10: C obtuse

11: B right

12: B right

I hope they are right! Sorry if they are not!

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u

So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
=-2\pi a^2(\cos\pi-\cos 0)
=-2\pi a^2(-1-1)
=4\pi a^2

as expected.
6 0
2 years ago
Simple math question!!!
Zinaida [17]

There are 25 boxes and 15 of them are shaded.

15/25 = 0.6 = 60%

7 0
2 years ago
Read 2 more answers
Plsss I need help!!!
mrs_skeptik [129]

Answer:

POSSIBLY  2

Step-by-step explanation: wasnt the best at math but i hope u do good

3 0
3 years ago
A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 225 like pistachio ice cre
Maru [420]
225-175=50
175-50=125
125 chidren liked both chocolate and pistachio ice cream.
Check: 398-123=275
275-125=150
225-125=100
175-125=50
100+50=150
150-150=0
3 0
3 years ago
5y + 4x = 8<br> y + 5x = 10<br> What’s the answer need it nowww
Ne4ueva [31]

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