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antoniya [11.8K]
3 years ago
7

Can someone please help me

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

dilation factor is 4

Step-by-step explanation:

what did you had to multiply the side of the small initial picture by to get the big picture?

-the small side that is 2 became 8 so you multiplied by 4

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Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.

a. The boundary of the hemisphere is the circle x^2+y^2=9 in the plane z=0, where the curl is \mathrm{curl}\vec F=2y\,\vec\imath+3\,\vec k. Green's theorem applies here, so that

\displaystyle\iint_S\mathrm{curl}\vec F\cdot\mathrm d\vec S=\int_{\partial S}\vec F\cdot\mathrm d\vec r=3\int_{x^2+y^2=9}\mathrm d\vec r

which means the value of the line integral is 3 times the area of the circle, or 27\pi.

b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.

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3 years ago
When determining if you have a perfect square trinomial, what must the first and third term be?
cricket20 [7]

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3 years ago
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2 years ago
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aliina [53]
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