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3 years ago

Plz Answer This Mathematics Question??? NEED HELP ASAP

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

6 0

The answer might be 96 x 10^5
Explanation:
(7.584 x 10^9) / (7.9 x 10^2)= 9600000 and I put that into scientific notation which would be: 96 x 10^5

hoa [83]3 years ago

5 0

Hello, please refer to the pic below!
Ans: 9.6 x 10^6

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The product of a nonzero rational number and an irrational number

mrs_skeptik [129]

Since irrational numbers are forever going, multiplying any nonzero rational number with an irrational number will make the product irrational as well

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3 years ago

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

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

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3 years ago

Multiple Choice Question

yan [13]

I believe the right answer is B!

7 0

3 years ago

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valentinak56 [21]

Answer:

Step-by-step explanation:

<u>Slope- intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept.

The given equation is in the slope-intercept form and hence we can easily identify its slope by looking at the coefficient of x.

y= 2x +7

slope= 2

Parallel lines have the same slope, thus the slope of the parallel line is also 2.

Substitute m= 2 into the general equation:

y= 2x +c

Substitute a pair of coordinates into the equation to find the value of c:

When x= 3, y= 11,

11= 2(3) +c

11= 6 +c

c= 11 -6

c= 5

Therefore the equation of the line is y= 2x +5.

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2 years ago

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Question 1 of 25

PolarNik [594]

Answer:

5/2 improper, 2 1/2 proper

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3 years ago