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3 years ago

The thermosphere is the fourth layer of the Earth's atmosphere. This layer

Mathematics

1 answer:

statuscvo [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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SLOPE IN MATH PLEASE HELP I’LL MARK BRAINLIEST + A LOT OF POINTS

Fed [463]

Answer:

-7/9

Step-by-step explanation:

here you go I hope it helps

7 0

4 years ago

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

Kelly needs 2 skeins of yarn for her knitting projects. A skein of yarn is usually $9, but Casey looks for sales. Which of the f

MAXImum [283]

Answer:B the cost would be $11

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

3n - 5p + 2n = 10p, solve for n

Alex17521 [72]

Combine (subtract) 3n and 2n to get 1n or n. Then you have n -5n =10n add 5n to 10n to get 15n. divide the 15 from n and your answer is n=15

4 0

3 years ago

Find the area of each figure. Round to the nearest tenth if necessary.

Nataly_w [17]

Answer:

220ft^2

Step-by-step explanation:

In red: 12ft - 10ft = 2ft and there 2 sides so 2ft / 2 = 1ft

In blue: 18ft - 12ft = 6ft

The missing area in dark blue: 6ft x 1ft = 6 / 2 = 3

total rectangle area: 12ft x 18ft = 216

216 - (3 + 3) = 216 - 6 = 200 subtract 6, we added that area in

8 0

2 years ago