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cluponka [151]
3 years ago
11

What multiplies to get -9 and adds to get 0

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0
3 and -3 multiply for -9 and add for 0
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Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x
valkas [14]
\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k
\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)


Let \mathcal D be the region whose boundary is \mathcal S. Then by the divergence theorem,

\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV

Convert to cylindrical coordinates, setting

x=r\cos\theta
y=r\sin\theta

and keeping z as is. Then the volume element becomes


\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz

and the integral is

\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\dfrac{2\pi}3
4 0
3 years ago
Wanda wants to start a vegetable garden. She has set aside a 5-foot by 35-foot area in her backyard for the garden. If each type
fomenos

Answer:

5.

Step-by-step explanation:

So 5x35 is 175. Divide by 35 and you get 5.

3 0
3 years ago
RDN’s sales of cable modem in San Mateo, California, for the months of January through April were as follows:January February Ma
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I have no clue?............
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Find the slope of the line that passes through (-4, -34) and (84, -66).
Dimas [21]

Answer:Look at picture :)

Step-by-step explanation:

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3 years ago
Evaluate.<br> (4/9)^2 pleaseee
vekshin1

Answer:

simplified: (16/81)

rewritten: (2/3)^4

Step-by-step explanation:

hope this helps! if wrong you can delete it :)

3 0
2 years ago
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