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Sloan [31]
3 years ago
9

PLEASE HELP ME I GIVE 5 STARS !

Mathematics
2 answers:
malfutka [58]3 years ago
8 0

Answer:

It's the 2nd option 2*2*3*3*5

Step-by-step explanation:

Damm [24]3 years ago
6 0

Answer:

b.

Step-by-step explanation:

you find a square root that goes into 180. i did 4 times 45. when you break apart 4 you get two times two. when you break apart 45 to get another square root, you get 9 times 5. when you break down 9 you get 3 and 3. so it is 2 times 2 times 3 times 3 times 5

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Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the
ludmilkaskok [199]
By Stokes' theorem,

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\mathbf r(t)=\langle 0,3\cos t,3\sin t\rangle

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\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d}{\mathrm dt}\langle x(t),y(t),z(t)\rangle\,\mathrm dt
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We can check this result by evaluating the equivalent surface integral. We have

\nabla\times\mathbf f=\langle1,0,0\rangle

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\mathbf s(u,v)=\langle3\cos v,3\cos u\sin v,3\sin u\sin v\rangle

so that

\mathrm d\mathbf S=(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv=\langle9\cos v\sin v,9\cos u\sin^2v,9\sin u\sin^2v\rangle\,\mathrm du\,\mathrm dv

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as expected.
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