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!

Slope of tangent line to curves cut from surface

  1. Oct 12, 2016 #1
    1. The problem statement, all variables and given/known data
    find the slope of tangent line to curves cut from surface z = (3x^2) +(4y^2) - 6 by planes thru the point (1,1,1) and parallel to xz planes and yz planes ...
    2. Relevant equations


    3. The attempt at a solution
    slope of tnagent that parallel to xz planes is dz/dy , while the slope of tangent that parallel to yz plane is dz /dz . Correct me if i am wrong
     
    Last edited by a moderator: Oct 13, 2016
  2. jcsd
  3. Oct 13, 2016 #2

    FactChecker

    User Avatar
    Science Advisor
    Gold Member

    To be parallel to the xz plane means that the y value is some constant number (y ≡ 1). So there is no dy. y is not involved in that slope except that its constant value (1) might be in the equation. Calculate dz/dx and plug in the 1s.
    Similarly, to be parallel to the yz plane means that the x value is some constant number (x ≡ 1). So there is no dx. x is not involved in that slope except that its constant value (1) might be in the equation. Calculate dz/dy and plug in the 1s
     
  4. Oct 13, 2016 #3
    So
    So , slope of tnagent that parallel to xz planes is dz/dx , while the slope of tangent thatparallel to yz plane is dz /dy . ???
     
  5. Oct 13, 2016 #4

    FactChecker

    User Avatar
    Science Advisor
    Gold Member

    yes
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Slope of tangent line to curves cut from surface
Loading...