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Firdavs [7]
4 years ago
8

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
V
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
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