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3 years ago

I’m just doing it for my niece but who knows it

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

I personally think the third one

Step-by-step explanation:

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Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

Hlp me solve this k/2+1-1k=-2k

Fofino [41]

Answer:k2+1−1k=−2kAlso Plz give me a Thanks PLZ

7 0

3 years ago

The judges at the track meet will award prizes to the top 4 teams. How many different ways can the top four teams place??

Nata [24]

They could give to teams more than likely on an average score the whole team has done, or at least that is what they are supposed to do. but they also might award the team which had more teammates get better places. for example if party place got three people on their team but they all did 3rd then boring barn who got 1 person could possibly win if that one person gets 1st place.

8 0

3 years ago

(PLEASE HELP !) Gabe spent $2000 to buy a piano for his music studio. He earns $25 per hour giving piano lessons to students. Le

EastWind [94]

Answer:

280 hours

Step-by-step explanation:

Amount paid + profit = cost of a lesson per hour

$2000 + $5000 = $25(h)

7000 = 25h

7000/25 = h

280 = h

6 0

3 years ago

Can some one help me with this will give brainliest

a_sh-v [17]

The first one would be C and the 2nd is A.

7 0

3 years ago