1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: CAl 3

  1. Nov 3, 2009 #1
    1. The problem statement, all variables and given/known data
    Let f(x,y,z) be a continuous function. To rewrite f(x,y,z) as a function of spherical coordinates, the conversion x-rcos([tex]\theta[/tex]), y=rsin([tex]\theta[/tex]), and z=rcos([tex]\varphi[/tex]). Suppose S is a region in 3 dimensions. How would you rewrite [tex]_{\int\int\int}s[/tex] f(x,y,z)dV as the integral of a function in terms or r,[tex]\theta[/tex], and[tex]\varphi[/tex]

    Note the s by the integral should be a subscript

    2. Relevant equations
    Hint, may require a change of variable formula

    3. The attempt at a solution

    I attempted to plug in the conversion of x, y, and z, but i dont think this is what is needed. I believe it is more of a conceptual question. What should i do?, im comfortable with the integration or deriving of the stuff, but am not sure what he is actually is asking. This isnt a homework problem to turn in, but something we were supposed to look at.
  2. jcsd
  3. Nov 3, 2009 #2


    User Avatar
    Homework Helper

    Do you know of a function called the Jacobian function? Because you will need this to find out what dV changes to.

    Also I think x=rcosθsinψ y=rsinθsinψ z=rcosψ
  4. Nov 3, 2009 #3
    no, ive never seen jacobian's. I know the name and have heard them mentioned, but have never seen them

    It says home work, buts it on the bottom of a test review, its not something to turn in, i can post the entire test review if you dont believe me, where it says it at the top of the page

    here is a copy of the problem in case i typed it wrong
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook