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Natasha_Volkova [10]

2 years ago

7

[ INDICES]- Simplify :

2 answers:

Kruka [31]2 years ago

8 0

Step-by-step explanation:

Hey there!

Please see attached picture for your answer!

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

just olya [345]2 years ago

7 0

Answer is in the attachment.

note:

make a slight change in question 1;

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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

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

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Brut [27]

The answer is
3x-4y=-24

y=mx+b
-4y=-3x-24
y=(3/4)x+(-24/-4)
y=(3/4)x+6

slope m=3/4
y =6

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2 years ago

the area of a rectangle is 10 square units the length is 2 units and the width is y units 10 = 2y what is the value of y. y = 12

frutty [35]

Answer:

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Step-by-step explanation:

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Darina [25.2K]

Answer:

A, B, C, D

Step-by-step explanation:

They All add up to 360

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1 year ago

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Amphitrite1040Answer:

Amphitrite1040

Step-by-step explanation:

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