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3 years ago

Common numbers for 15 18 and 12

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

<span>Common numbers for 15 18 and 12: 1 and 3</span>

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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

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

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3 years ago

What is the area and perimeter. please answer asap

Airida [17]

Answer:

Perimeter: 24

Area: 1105.92

Step-by-step explanation:

Perimeter:

Add up all of the numbers

Area:

Multiply all of the numbers

(I'll redo it if this isn'twhat you meant by)

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3 years ago

Topic 4 Pythagorean Theorem Practice 11/18

omeli [17]

7) 8.9
8) 6.7
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10) 7.6
11) 7.3
12) 6.3

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3 years ago

Read 2 more answers

6*(2x+3)-(4x+2)=32 what is X?

nydimaria [60]

Answer:

6*(2x+3)-(4x+2)=32

answer is x=2

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3 years ago

Use doubles mines one to solve 8+7.Write the number sentence.

vlada-n [284]

Answer:

Step-by-step explanation:

8+8 would be the doubles and that would equal 16.

Then take one away from 16 and that would equal 15

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3 years ago