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vitfil [10]
3 years ago
7

What is the answer to this equation 40-32/8+5•-2

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:26

Step-by-step explanation

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Use Green's Theorem to calculate the circulation of F =2xyi around the rectangle 0≤x≤8, 0≤y≤3, oriented counterclockwise.
Tamiku [17]

Green's theorem says the circulation of \vec F along the rectangle's border C is equal to the integral of the curl of \vec F over the rectangle's interior D.

Given \vec F(x,y)=2xy\,\vec\imath, its curl is the determinant

\det\begin{bmatrix}\frac\partial{\partial x}&\frac\partial{\partial y}\\2xy&0\end{bmatrix}=\dfrac{\partial(0)}{\partial x}-\dfrac{\partial(2xy)}{\partial y}=-2x

So we have

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D-2x\,\mathrm dx\,\mathrm dy=-2\int_0^3\int_0^8x\,\mathrm dx\,\mathrm dy=\boxed{-192}

6 0
3 years ago
If you have 20 coins worth $1.35, and you only have nickels and dimes, how many do you have of each coin?
ankoles [38]
N + d = 20....n = 20 - d
0.05n + 0.10d = 1.35

0.05(20 - d) + 0.10n = 1.35
1 - 0.05d + 0.10d = 1.35
-0.05d + 0.10d = 1.35 - 1
0.05d = 0.35
d = 0.35/0.05
d = 7 <==== 7 dimes

n + d = 20
n + 7 = 20
n = 20 - 7
n = 13 <=== 13 nickels
5 0
3 years ago
Find the value of x<br> (x +40)<br> x
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Answer: x^2 + 40x

Nothing can further be done with the topic.....

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Under what condition the composite function of any two function is an identity function?
Veseljchak [2.6K]

Answer:

under the condition of f(x)=x composite function is an identity one

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