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: Help with Cal3

  1. Nov 13, 2007 #1
    1. The problem statement, all variables and given/known data
    Find the vector value function whose graph is the indicated surface.


    2. Relevant equations

    The ellipsoid (x^2)/9 + (y^2)/4 + z^2 = 1

    3. The attempt at a solution
    r(u,v)= (u^2)/9i + (v^2)/4j + (1-(u^2)/9-(v^2)/4)^(1/2)k
     
  2. jcsd
  3. Nov 13, 2007 #2
    Just use a spherical coordinate system to paramaterize the surface.

    let [tex] \sigma(\theta,\phi) = (3\sin\theta\sin\phi, 2\sin\theta\cos \phi, \cos\theta ) [/tex]
     
  4. Nov 13, 2007 #3
    is there any way you can do it in rectangular coordinates or polar system? Thanks
     
  5. Nov 14, 2007 #4
    The easiest way to do that in Cartesian coordinates would be

    [tex] \sigma(x,y) = \left(x, y, \sqrt{1-\frac{x^2}{9} -\frac{y^2}{4} } \right) [/tex]
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook