Find an appropriate parametrization for the given piecewise-smooth curve in R3: the intersection of the plane z=2 with the elliptical cylinder x2+9y2=25.
a) x=5cos(t),y=35sin(t),z=2
b) x=3cos(t),y=2sin(t),z=2
c) x=5sin(t),y=3cos(t),z=2
d) x=5sin(t),y=3cos(t),z=25−x2−9y2