Try to sketch by hand the curve of intersection of the circular cylinder and the…

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Try to sketch by hand the curve of intersection of the circular cylinder

x^2 + y^2 = 4

and the parabolic cylinder

z = x^2

. Then find parametric equations for this curve and use these equations and a computer to graph the curve.