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3 years ago

Just wondering if this is the correct answer

Mathematics

1 answer:

andre [41]3 years ago

3 0

Answer: it’s 6

Step-by-step explanation: because first yo have to minus 4 from each side then multiply by three then divide by 4

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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

Larry's summer job is mowing

zlopas [31]

Answer:

31.9 Hours OR 4.5 Hours (Read Explanation)

Step-by-step explanation:

40 x 7.50 ( To find the amount that he worked in non-overtime) = 300

300 - 339.98 = 39.98 (Money made on overtime)

39.98 / 1.25 = 31.984 (Hours worked on overtime)

If he is getting payed $1.25 extra per hour (That was not super clear) it would instead be:

39.98 / (1.25 + 7.50) (Money made on overtime divided by hourly rate)

39.98 / 8.75 = 4.5 Hours worked overtime

This answer makes more sense, but since it isn't super clear I'll give you both.

6 0

3 years ago

HELP 20 POINTS!! SOLVE

kodGreya [7K]

Answer: -10 1/2, -8 1/2, -4 1/2, 4 1/2

Step-by-step explanation:

Using logic it’s -10 1/2, -8 1/2, -4 1/2, 4 1/2

7 0

3 years ago

Greatest to least 1/2 0.12 2/3 0.6

Vitek1552 [10]

Answer:

2/3, 0.6, 1/2, 0.12

Step-by-step explanation:

1/2, 0.12, 2/3, 0.6

im going to switch each to decimal if it isn't already

1/2 = 0.5

2/3 = 0.666 repeated

so now we have

0.5 , 0.12, 0.666 repeated, 0.6

now im going to put them in order

0.666 repeated, 0.6, 0.5, 0.12

now im going to change them back

2/3, 0.6, 1/2, 0.12

3 0

3 years ago

Read 2 more answers

Store 1 earned 10% of the money invested I it while store 2 lost 8% of the amount invested in it. The net total gain was $1,300.

Alex17521 [72]

Answer:

Store 1= $150

Store 2= $250

Step-by-step explanation:

Let the amount invested by store 1 be x while store 2 be y hence

10x-8y=1300 Eqn 1

Make x the subject of the formula for the first equation

10x=1300+8y divide both sides by 10

X=130+0.8y

6x+5y=2250 Eqn 2

Substituting where there’s x with 130+0.8y in equation 2 we obtain

6(130+0.8y)+5y=2250

780+4.8y+5y=2250

9.8y+780=2250

9.28y=2250-780=1470

Y=1470/9.8=150

X=130+0.8y= 130+0.8(150)=250

4 0

3 years ago