1. Not finding help here? Sign up for a free 30min 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!

Calc 3 Coordinate questions

  1. Oct 23, 2005 #1
    1) Rewrite the following expression in polar coordinates:
    (second derivative of z with respect to x) + (second derivative of z with respect to y)

    where x=rcos(theta)
    y = rsin(theta)

    i had first derivative of z with respect to x = (dz/dx)(dx/dr) + (dz/dx)(dx/d(theta))

    same concept for y

    and then i just took the derivative of my dz/dz and dz/dy variables again

    2) describe this surface in cylindrical coordinates
    z = rcos3(phi)

    express in cartesian coordinates

    i really do not get cartesian coordinates

    can anyone show me the generic method?

    3) x = psin(phi)cos(theta)
    y = psin(phi)sin(theta)
    z = pcos(phi)

    near which points of R^3 can we solve for: p phi and theta in terms of x, y and z, describe the geometry behind your answer.

    again, i am really really weak in coordinate systems.

    any help is appreciated, thanks guys
  2. jcsd
  3. Oct 24, 2005 #2
    what does z = in #1

    x = p sin phi cos theta

    y =p sin phi sin theta

    z = p cos phi
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Calc 3 Coordinate questions
  1. Calc 3 easy question (Replies: 1)

  2. Two calc 3 questions (Replies: 2)

  3. Calc 3 question (Replies: 3)