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4 years ago

I need an answer asap please.

Mathematics

1 answer:

Dmitry [639]4 years ago

4 0

am pretty sure 72.22 take 3.14 times it by 23

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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

4 years ago

Your sister can get $30 per day, d, for selling clothes at the market. But she has to pay $60 at first for renting a stand. You

Alex

Answer:

6 days

Step-by-step explanation:

pay 60 = -60

Let d = the number of days

30d - 60 = sister

20d = me

Equation:

30d - 60 = 20d Move 30 to the other side

-30d -30d

-60 = 20d - 30d Combine liked terms

-60 = -10d

-10 -10 Divide

d = 6

5 0

3 years ago

G^2 + 4gh; if g = -3 and h = 5

xxTIMURxx [149]

Answer:

Step-by-step explanation:

We know that g = -3 and h = 5

Plugging in the values for g and h you will get:

$g^{2} + 4gh$

$(-3)^{2} + 4(-3)(5)$

$9 + (-60)$

Final answer is $-51$

3 0

3 years ago

???????????????????????????? Please answer ASAP. Very much appreciated. ❤️❤️❤️❤️

tankabanditka [31]

She needs to earn at least 84 to buy the mp3 player

earnings=earningsperhour times numberofhoursworked

earnings per hour=12 dollars
number of hoursworked=h

therefor
earnings=12 ties h or12h

earnings is at least 84
earnings is greater than or equal to 84
earnings<u>></u>84
12h<u>></u>84

solve
12h<u>></u>84
divide both sides by 12
h<u>></u>7
she needs to work at least 7 hours

to graph, draw a line at x=0 and shade to the right, make the line solid

3 0

3 years ago

Andrei [34K]

It is to be noted that the blanks can only be filled with f(x), range, and domain.

<h3>What are the complete sentences?</h3>

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

To write the equation y = ax + b in function notation, substitute f(x) for y.

Learn more about domain at:
brainly.com/question/26098895
#SPJ1

3 0

2 years ago