SOLUTION: Find a vector function that represents the curve of intersection of the paraboloid z=6x^2+3y^2 and the cylinder y=2x^2 Use the variable t for the parameter

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Find a vector function that represents the curve of intersection of the paraboloid z=6x^2+3y^2 and the cylinder y=2x^2 Use the variable t for the parameter      Log On


   

Question 1074234: Find a vector function that represents the curve of intersection of the paraboloid z=6x^2+3y^2 and the cylinder y=2x^2 Use the variable t for the parameter
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=t, then y=2t%5E2.
So then using the paraboloid leads to
r%28t%29=<t,t%5E2,6t%5E2%2B12t%5E4>