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yan [13]
2 years ago
15

PLS HELP ME I REALLY NEED HELP

Mathematics
2 answers:
baherus [9]2 years ago
7 0

Answer:

I can't see anything. There is nothing on your screen.

guajiro [1.7K]2 years ago
5 0
I can’t see any questions can you repost?
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Evaluate c (y + 7 sin(x)) dx + (z2 + 9 cos(y)) dy + x3 dz where c is the curve r(t) = sin(t), cos(t), sin(2t) , 0 ≤ t ≤ 2π. (hin
saw5 [17]
Treat \mathcal C as the boundary of the region \mathcal S, where \mathcal S is the part of the surface z=2xy bounded by \mathcal C. We write

\displaystyle\int_{\mathcal C}(y+7\sin x)\,\mathrm dx+(z^2+9\cos y)\,\mathrm dy+x^3\,\mathrm dz=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r

with \mathbf f=(y+7\sin x,z^2+9\cos y,x^3).

By Stoke's theorem, the line integral is equivalent to the surface integral over \mathcal S of the curl of \mathbf f. We have


\nabla\times\mathbf f=(-2z,-3x^2,-1)

so the line integral is equivalent to

\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\mathrm d\mathbf S
=\displaystyle\iint_{\mathcal S}\nabla\times\mathbf f\cdot\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv


where \mathbf s(u,v) is a vector-valued function that parameterizes \mathcal S. In this case, we can take

\mathbf s(u,v)=(u\cos v,u\sin v,2u^2\cos v\sin v)=(u\cos v,u\sin v,u^2\sin2v)

with 0\le u\le1 and 0\le v\le2\pi. Then

\mathrm d\mathbf S=\left(\dfrac{\partial\mathbf s}{\partial u}\times\dfrac{\partial\mathbf s}{\partial v}\right)\,\mathrm du\,\mathrm dv=(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv

and the integral becomes

\displaystyle\iint_{\mathcal S}(-2u^2\sin2v,-3u^2\cos^2v,-1)\cdot(2u^2\cos v,2u^2\sin v,-u)\,\mathrm du\,\mathrm dv
=\displaystyle\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}u-6u^4\sin^3v-4u^4\cos v\sin2v\,\mathrm du\,\mathrm dv=\pi<span />
4 0
3 years ago
GUYSSSSSS!!!SOLVE IT WITH EXPLAIANTION​
denis-greek [22]

Answer:

Marie Skłodowska Curie (born Maria Salomea Skłodowska (Polish: [ 7 November 1867 – 4 July 1934), was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. As the first of the Curie family legacy of five Nobel Prizes, she was the first woman to win a Nobel Prize, the first and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two scientific fields. She was the first woman to become a professor at the University of Paris in 1906.[4]

Step-by-step explanation:

6 0
2 years ago
What is the solution for x^2 +14x +15​
ololo11 [35]
  • ...................................

7 0
3 years ago
Read 2 more answers
Find the value of x<br> A.25<br> B.85<br> C.75<br> D.105
Masteriza [31]

Answer:

The value of x is 75

Step-by-step explanation:

First we need to find the other angle that doesn't have a number in it.

To find the degrees of the other angle we subtract 155 from 180.

180 - 155 = 25

Now we have to find the value of x. Add 80 and 25 together to get 105. A triangle is going to be 180 degrees. Subtract 105 from 180.

180 - 105 = 75

Now we will add 80, 25, and 75 to check our work.

80+25+75 = 180

7 0
3 years ago
PLEASE HELP ME I DONT UNDERSTAND
max2010maxim [7]

Answer:

no

Step-by-step explanation:

the square root of 2 is not rational

5 0
3 years ago
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