A community for students.
Here's the question you clicked on:
 0 viewing
rsst123
 one year ago
** Will medal **
Calc 3
Can someone show me how you would covert the limits of integration?
rsst123
 one year ago
** Will medal ** Calc 3 Can someone show me how you would covert the limits of integration?

This Question is Closed

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2what do you know about the surfaces \(z=\sqrt{x^2+y^2}\) \(z=\sqrt{8x^2y^2}\) ?

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0one is a cone and the other is a sphere correct?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes, something like this ? dw:1436972486503:dw

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2good, setup the bounds for \(\theta, \phi, \rho\)

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0i understand that θ is 2pi, but i cant figure out how to get ϕ and ρ. I know p is the radius and I think ϕ is the angle between the +z axis but i dont see it

Empty
 one year ago
Best ResponseYou've already chosen the best response.2There are multiple ways to describe the angle \(\phi\). Just imagine the earth as being a sphere of constant radius. You can go around the equator from \(0\) to \(2 \pi\) which corresponds to our \(\theta\) value like you understand but we have two very common ways to talk about the azimuthal angle \(\phi\) which make sense. We can start \(\phi\) from the north pole and call that \(\phi = 0\) and rotate down to the equator \(\phi = \frac{\pi}{2}\) and then to the south pole \(\phi = \pi\) The other way that's commonly done is they'll start with the equator \(\phi = 0\) and say going up to the north pole is \(\phi = \frac{\pi}{2}\) and then say going down to the south pole is \(\phi =  \frac{\pi}{2}\) No method is better than the other, just whichever is most convenient to your problem solving. Generally mathematicians choose the first one and physicists choose the second, but it doesn't matter.

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0wow that way makes to much sense so ϕ would be 0 to pi/4 ?

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Yeah in the first coordinate system yep. =) What's your second question asking?

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0how would i determine the radius p?

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Ahhh ok sorry I didn't actually read your question I just saw that you were confused about \(\phi\) and thought I'd help with that give me a sec haha

Empty
 one year ago
Best ResponseYou've already chosen the best response.2You can determine \(\rho\) from the awesome picture @ganeshie8 made, give it your best guess and try to give a reason for why you think that. If not, tell me what the integral would be if we replaced \(x^2+y^2+z^2\) in the integral with a \(1\).

rsst123
 one year ago
Best ResponseYou've already chosen the best response.0sorry for the late response I had to take my calc final but the information you gave helped me answer the question on my final. Thanks guys!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.