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2 years ago

(((3x)^(-1)-(4y)^(-1)))/((9x)^(-2)-(16y)^(-2))..

Mathematics

1 answer:

Ivanshal [37]2 years ago

8 0

Simplified: xy/3y+4x

factored: 1/(3/x)+(4/y)

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Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$

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2 years ago

—7times(—8) help plz

BabaBlast [244]

Answer:

Step-by-step explanation:

A negative times a negative makes a positive, so:

$-7*(-8)=56$

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3 years ago

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the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)

hram777 [196]

Answer:

Step-by-step explanation:

y - 9 = 2(x - 1)

y - 9 = 2x - 2

y = 2x + 7

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3 years ago

I really need help and fast llease

Solnce55 [7]

A unit rate means for one, so in this case they mean for one pound of the horse feed which brand sells the highest. You would divide the cost into the number of pounds for each brand. Now, compare all the brands and see which one is highest.

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3 years ago

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5h+6y+4h+9y=3h+5y6h+9y

Leokris [45]

H=6y/5y^(6) -6

hope this helps!!!!!!!!

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3 years ago