Question

Find flux of F=(3xyy, 3xxy, 3zzz) out of sphere R=2. Flux is given by 2^5S(a->b)S(c->d) f(theta,phi) d(theta)d(phi). What is f? No Div Thm.

Answer 1

Find the flux of F given above out of the sphere of radius 2. "Hint: use spherical coordinates and be mindful of orientation." The flux is given by 2\[^{5}\]\[\int\limits_{a}^{b}\]\[\int\limits_{c}^{d}\] f(\[\Theta\],\[\Phi\]) d\[\Theta\]d\[\Phi\]

Find f. (Solve directly; do not use alternative methods to solve such as Divergence Theorem)

Answer 2

You have to parametrize the sphere, see example 2 here.

Answer 3

oops forgot link, http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceIntegrals.aspx

Answer 4

For the graph, which are possible functions u0192, g, and h?

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Answer 5

Is the function u0192(x) = e^u201311x an exponential function? If so, identify the base.

Answer 6

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Answer 7

For the graph, which are possible functions u0192 and g?

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Answer 8

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Answer 9

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Answer 10

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Answer 11

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Answer 13

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Answer 14

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Answer 15

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Answer 16

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Answer 17

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Answer 18

For the graph, which are possible functions u0192, g, and h?

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Answer 19

Why do astronauts float aboard the international space station? Are astronauts re

Answer 20

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Answer 21

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Answer 22

A story in which the narrator is also a character uses (1 point)
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Answer 23

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