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3 years ago

Please help. I literally don't even know what this is!!

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

Answer:

try dividing or multiplying the information their giving you?

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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

45.50 is 30% of what number

m_a_m_a [10]

Answer:

31.85

Step-by-step explanation:

to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so

final value = 45.50 x ( 1 - $\frac{30}{100}$ )

final value = 45.50 x ( 1 - 0.3)

final value = 45.50 x (0.7)

final value = 31.85

subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50

note: 0.3 can be found just by moving the decimal point 2 places to the left $\frac{30}{100}$ = 0.3 as a decimal

3 0

2 years ago

What is the slope of the line that passes through the points (4, 6) and (−16,−18)? Write your answer in simplest form.

iragen [17]

Step-by-step explanation:

Slope of the line: 6/5.

6 0

3 years ago

Read 2 more answers

Look at Attachment, giving a lot of points for the answer to questions.

tatiyna

Answer:

see below

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

= (90-80)/(0-1)

= 10/-1

=-10

The slope is -10 ft/s

This means the height decreases 10 ft for every second that passes

This is not proportional because it has to go through the point (0,0)

m = (y2-y1)/(x2-x1)

= (1000-0)/(3-0)

= 1000/3

=1000/3

The slope is $1000/3

This means the 1000 dollars is sold every 3 days

This is proportional because it goes through the point (0,0) and has a constant slope

7 0

3 years ago

Read 2 more answers

Chelsey put $450 off bro an account with an interest rate of 2.5% when she withdrew her money she had earned $67.50 in interest

AysviL [449]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$67.50\\ P=\textit{original amount deposited}\dotfill & \$450\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years \end{cases} \\\\\\ 67.50 = (450)(0.025)(t)\implies \cfrac{67.50}{(450)(0.025)}=t\implies 6=t$

7 0

2 years ago