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3 years ago

What is the simplest form of 10/36

Mathematics

1 answer:

UNO [17]3 years ago

7 0

The answer is 5/18 because if you divde 10 and 36 by 2 it would equal 5 and 28

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Surface integrals using a parametric description. evaluate the surface integral \int \int_{s} f(x,y,z)dS using a parametric desc

DiKsa [7]

You can parameterize $S$ using spherical coordinates by

$\vec s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ .

Take the normal vector to $S$ to be

$\dfrac{\partial\vec s}{\partial\vec v}\times\dfrac{\partial\vec s}{\partial\vec u}=36\langle\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v\rangle$

(I use $\vec s_v\times\vec s_u$ to avoid negative signs. The orientation of the normal vector doesn't matter for a scalar surface integral; you could just as easily use $\vec s_u\times\vec s_v=-(\vec s_v\times\vec s_u)$ .)

Then

$f(x,y,z)=f(6\cos u\sin v,6\sin u\sin v,6\cos v)=36\sin^2v$

and the integral of $f$ over $S$ is

$\displaystyle\iint_Sf(x,y,z)\,\mathrm dS=\int_0^{\pi/2}\int_0^{2\pi}36\sin^2v\left\|\frac{\partial\vec s}{\partial v}\times\frac{\partial\vec s}{\partial u}\right\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{\pi/2}\int_0^{2\pi}(36\sin^2v)(36\sin v)\,\mathrm du\,\mathrm dv$

$=\displaystyle2592\pi\int_0^{\pi/2}\sin^3v\,\mathrm dv=\boxed{1728\pi}$

7 0

3 years ago

I have a favor... please help me i am stuck!

liubo4ka [24]

Answer:

A. 5:3

Step-by-step explanation:

There are 10 blue and 6 red so that's 10:6

Reduce it to get 5:3

Hope this helps

6 0

3 years ago

I will mark as the brainliest answer

gtnhenbr [62]

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5 0

3 years ago

The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740

Finger [1]

Answer:

Step-by-step explanation:

<h3> I=PRT/100</h3><h2> 6740×<u>1</u><u>0</u>×7</h2><h2> 100</h2><h2> 674×1×7</h2><h2> 4618</h2><h2>the nearest hundredth is a 46•18 this is my answer</h2>

6 0

3 years ago

Write an equation of the perpendicular bisector of the segment with endpoints

Kruka [31]

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

3 0

3 years ago