Question

# Where does the helix r(t)=<\cos(\pi t), \sin( \pi t), t > intersect the paraboloid z = x^2 + y^2? (x, y, z) = What is the angle of intersection between the helix and the paraboloid?

Equation, expression, and inequalitie
Where does the helix
$$r(t)=<\cos(\pi t), \sin( \pi t), t >$$
intersect the paraboloid
$$z = x^2 + y^2$$?
(x, y, z) =
What is the angle of intersection between the helix and the paraboloid?