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Firdavs [7]
2 years ago
10

Helloppp i need hwlp with this plllss

Mathematics
1 answer:
Rasek [7]2 years ago
3 0
the answer is b because x is greater than or equal to 0
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Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z = xyi + 5zj + 7yk,
Helga [31]
The intersection can be parameterized by

C:=\mathbf r(t)=\begin{cases}x(t)=6\cos t\\y(t)=6\sin t\\z(t)=5-6\cos t\end{cases}

with 0\le t.

By Stoke's theorem, the integral of \mathbf f(x,y,z)=xy\,\mathbf i+5z\,\mathbf j+7y\,\mathbf k along C is equivalent to

\displaystyle\int_C\mathbf f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r(t)=\iint_S\nabla\times\mathbf f\,\mathrm dS

where S is the region bounded by C. The line integral reduces to

\displaystyle\int_0^{2\pi}(36\sin t\cos t\,\mathbf i+(25-30\cos t)\,\mathbf j+42\sin t\,\mathbf k)\cdot(-6\sin t\,\mathbf i+6\cos t\,\mathbf j+6\sin t\,\mathbf k)\,\mathrm dt
=\displaystyle\int_0^{2\pi}(54(\cos3t-\cos t)-30(3\cos2t-5\cos t+3)+(126-126\cos2t)\,\mathrm dt
=\displaystyle\int_0^{2\pi}(36+96\cos t-216\cos2t+54\cos3t)\,\mathrm dt
=72\pi
4 0
3 years ago
40 is 8% of what number? I need to know HOW the problem is solved
Artemon [7]
Your answer is 500, review the image I created to understand how I got my answer.

8 0
3 years ago
95% of what number is 57? I need to find the whole number
algol [13]

Answer:

the correct answer is 60

8 0
3 years ago
Read 2 more answers
A delivery truck traveled 324 miles on 18 gallons of gas. How far can be traveled on 41 gallons of gas?
bekas [8.4K]
Set up the equation:
<u>324</u> = <u> </u><u>x </u>
 18     41

(324 * 41)/18  = 738 miles<u />
6 0
3 years ago
BRAILIEST IF RIGHT Which other expression has the same value as (-14) - 8 ?
stiks02 [169]

Answer:

It's the last one (-14) +(-8)

Step-by-step explanation:

since (-14)-8 is -22 and the last one is also -22

4 0
3 years ago
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