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vampirchik [111]
3 years ago
15

For the function f(x)= 3x+7, what is f(3)

Mathematics
2 answers:
Lesechka [4]3 years ago
6 0
The answer will be
f(3)=3(3)+7
=9+7
=16
PtichkaEL [24]3 years ago
5 0

Answer:

f(3) = 16

Step-by-step explanation:

f(3) = 3(3) +7

f(3) = 9 + 7

f(3) = 16

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I assume C has counterclockwise orientation when viewed from above.

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\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k

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Then parameterize S by

\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k

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1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v

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Take the normal vector to S to be

\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k

Then the line integral is equal in value to the surface integral,

\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S

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=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}

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