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Paha777 [63]
3 years ago
15

HELP ASAP!!!! Please!!!! Will give brainliest if CORRECT! :)

Mathematics
1 answer:
Kruka [31]3 years ago
7 0
The answer is the initial cost is 4500
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Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur
Bad White [126]

Looks like you have most of the details already, but you're missing one crucial piece.

\sigma is parameterized by

\vec r(u,v)=\langle u\cos3v,u\sin3v,v\rangle

for 0\le u\le7 and 0\le v\le\frac{2\pi}3, and a normal vector to this surface is

\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}=\left\langle\sin3v,-\cos3v,3u\right\rangle

with norm

\left\|\dfrac{\partial\vec r}{\partial u}\times\dfrac{\partial\vec r}{\partial v}\right\|=\sqrt{\sin^23v+(-\cos3v)^2+(3u)^2}=\sqrt{9u^2+1}

So the integral of f(x,y,z)=x^2+y^2+z^2 is

\displaystyle\iint_\sigma f(x,y,z)\,\mathrm dA=\boxed{\int_0^{2\pi/3}\int_0^7(u^2+v^2)\sqrt{9u^2+1}\,\mathrm du\,\mathrm dv}

6 0
2 years ago
Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same
Kay [80]

Answer:    \bold{\dfrac{35}{187}}

<u>Step-by-step explanation:</u>

1st marble  and   2nd marble

 \dfrac{15\ red}{34\ total}       \times        \dfrac{14\ red}{33\ total}           =\dfrac{15\times 14}{34\times 33}=\dfrac{5\times 7}{17\times 11}= \boxed{\dfrac{35}{187}}

8 0
2 years ago
Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a s
NARA [144]
Answer: Kameryn will have typed more words than Joe after 34 minutes

7 0
3 years ago
What is 109 divided by 8
Lelu [443]
 109 \div 8 

= 13.625
7 0
3 years ago
Read 2 more answers
Can someone please help with this question please
nlexa [21]

Answer:

Go to brainfuse.com

Step-by-step explanation:

They will give you one on one tutoring for any subject (they won't see your face and it's free!)

3 0
3 years ago
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