Question

Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+3y^2 and the cylinder y=2x^2. Use the variable t for the parameter.
r(t) =

Answer 1

r(t)=<t,2t^2,7t^2+12t^4>

Answer 2

suppose x=t
then y=2t^2
and z=7t^2+3(2t^2)^2,z=7t^2+12t^4
so r(t)=(t,2t^2,7t^2+12t^4)