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rjkz [21]
2 years ago
8

Write the inequality for the given graph Please answer this as soon as possible

Mathematics
2 answers:
Ierofanga [76]2 years ago
7 0

Answer:

B. x <1/2

Step-by-step explanation:

PA BRAINLEST ANSWER PLSSS

Klio2033 [76]2 years ago
3 0

Step-by-step explanation:

vhiy ig ig_y oh y by cy oh h. hh uu u

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Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x
Serggg [28]

I assume C has counterclockwise orientation when viewed from above.

By Stokes' theorem,

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

so we first compute the curl:

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

\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k

Then parameterize S by

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

where the z-component is obtained from

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

with 0\le u\le\dfrac\pi2 and 0\le v\le\dfrac\pi2.

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

=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv

=\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}}

6 0
3 years ago
What are LOGARITHMS...???​
Maslowich

Step-by-step explanation:

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. ... Logarithms even describe how humans instinctively think about numbers.

3 0
3 years ago
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What is the value of x?
natima [27]

Answer:

the value of x is one of those answers i can tell you son

Step-by-step explanation:

and it is NOT 3/4 thast FOR SURE

4 0
3 years ago
On average, Gil reads 57 pages in a book each week.<br> How many pages des Gil read in 12 weeks?
Triss [41]

Answer:

684

Step-by-step explanation:

57 times 12

12 weeks times 57 pages= 684 pages in 12 weeks

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3 years ago
What's the answer ?????
Tanzania [10]
The awnser is a I hope I helped you out
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