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3 years ago

What is 10y-3x+6=11 in standard form

1 answer:

6 0

3x−10y=−5 is the answer I hope this helps! :)

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Help! Fast! Don't want to fail Please!

Marta_Voda [28]

1. 45
2. idk
3. See attached
4. 190

6 0

3 years ago

Evaluate the surface integral:S

rjkz [21]

Assuming $S$ does not include the plane $z=0$ , we can parameterize the region in spherical coordinates using

$\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle$

where $0\le u\le2\pi$ and $0\le v\le\dfrac\pi/2$ . We then have

$x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v$
$(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v$

Then the surface integral is equivalent to

$\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du$

We have

$\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle$
$\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle$
$\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle$
$\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v$

So the surface integral is equivalent to

$\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du$
$=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv$
$=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw$

where $w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv$ .

$=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}$
$=\dfrac{243}2\pi$

4 0

3 years ago

A concert cleanup crew has 6 workers and one cleanup kit.

myrzilka [38]

Answer:

Option (D)

Step-by-step explanation:

At every 6 crew workers number of clean up kits required = 1

Therefore, for 1 crew worker number of kits required = $\frac{1}{6}$

And number of kits required for w workers = $\frac{w}{6}$ = w ÷ 6

If w = 54

Number of kits required = $\frac{54}{6}=9$

If w = 60

Number of kits required = $\frac{60}{6}=10$

If w = 66

Number of kits required = $\frac{66}{6}=11$

Therefore, table given in Option (D) is the correct table.

6 0

3 years ago

Idk how to solve this find value of x and y

uysha [10]

Answer:

Try out each different answers and see which one would work.

Step-by-step explanation:

Go to A, and then B and then C and then D to find the correct one. Plug in the answers to find out which one is correct.

7 0

3 years ago

An Antique Collector want to know the age of a particular chair in a shop Statistical or not statistical

dmitriy555 [2]

Answer:

$\boxed{\bold{Not \ Statistical}}$

Step By Step Explanation:

Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.

A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.

"An Antique Collector wants to know the age or a particular chair in a shop"

Statistical Not Statistical

$\boxed{\bold{>}}$ This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.

7 0

3 years ago