Question

find the volume of the domain D: x^2+y^2≤2z ; 0≤z≤2

Answer 1

What kind of surface do you have?

Answer 2

\[\frac{x²}{a²}+\frac{y²}{b}= \frac{z}{c}\] What kind of surface is this?

Answer 3

I mean, over b²

Answer 4

i dont know. i don't remember the formula. i've done this 3 years ago :)

Answer 5

It's a paraboloid... You can use double integrals so solve this. It intersects the plane z=2

Answer 6

Do you know how to do it?

Answer 7

I mean, the plane z = 4

Answer 8

why a double and not a triple integral? \[\int\limits \int\limits \int\limits f(x,y,z) dxdydz\]

Answer 9

Just a moment, doing it on paper.

Answer 10

http://clip2net.com/s/5efeON here is a print screen of a similar example. but i dont now what f i have here

Answer 11

Indeed it is supposed to be a triple integral. But it simplifies to a double one. Just one more moment...

Answer 12

Do you have the answer?

Answer 13

no. it's the subject from last year exam.

Answer 14

want help?

Answer 15

yes please :(

Answer 16

or u done?

Answer 17

ok

Answer 18

lets start by drawing

Answer 19

x^2+y^2≤2z
z>x^2+y^2/2