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Vika [28.1K]
3 years ago
8

Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in

the first octant
Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

Step-by-step explanation: please go answer my recent question

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statuscvo [17]

Answer:

The function is correct, I just don't see a question.

Step-by-step explanation:    6   21   6  10

C(n) = 12n + 65

I will make up a question.  How much will it cost 4 people each to rent the cabin?

C(n) = (12n + 65) / n         n = 4

      =  (12 × 4 + 65) / 4

      =  (48 + 65) / 4

      =     113 / 4

      =     $28.25

If your question is differnt just substitute the number of people into the question and solve for C(n)

7 0
2 years ago
6. [(69 - 9) + 23]4<br> how do u solve this
Andru [333]
Always do the parentheses first. In this case, there are two parentheses, so do the parentheses inside the other parentheses first. After that, it’s just simple addition, subtraction, and multiplication.

(69-9)= 60

(60+23)= 83

83x4= 332
8 0
3 years ago
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DanielleElmas [232]

Answer:

Yes

Step-by-step explanation:

Did the math on my calculator on my phone

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2 years ago
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Can somebody explain to me how to do this
11111nata11111 [884]

Answer:below hopes it helps the link should help aswell

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/%60frac%7B%2010%20%7B%20q%20%20%7D%5E%7B%205%20%20%7D%20%20%20%7B%20w%20%20%7D%5E%7B%207%20%20%7D%20%20%20%20%7D%7B%202%20%7B%20w%20%20%7D%5E%7B%203%20%20%7D%20%20%20%20%7D%20%20%20%60frac%7B%204%20%7B%20%60left(%20%7B%20q%20%20%7D%5E%7B%206%20%20%7D%20%20%20%60right)%20%7D%5E%7B%202%20%20%7D%20%20%20%20%7D%7B%20%20%7B%20w%20%20%7D%5E%7B%20-5%20%20%7D%20%20%20%20%7D

3 0
3 years ago
If x = 2 and y=-3, then -xy^2 =<br> A) -36<br> B) 18<br> C) -12<br> D) - 18
Citrus2011 [14]

Answer:

-18

Step-by-step explanation:

-xy^2 =

Let x=2 and y = -3

-(2) (-3)^2

-2 (9)

-18

4 0
3 years ago
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