1 + y = sqrt(x^2 + y^2)
square both sides
1 + 2y + y^2 = x^2 + y^2
y =[ x^2 - 1]/2
x= t
y = [t^2 - 1]/2
z= 1 + y = [t^2 +1]/2
question:Curve C is the intersection of plane and
C is a parabola, a conic section.
Find parametric equations for C
my worklugging z=1+y into first equation I get [tex]1+y=\sqrt{x^2+y^2}[tex]
problem: I don't know what to do next
hint:use t as parameter, with x=t (-infinity<t<infinity)