Find a parametric representation for the surface. Parametrize with respect to y and θ. (To enter θ, type theta.)

The part of the cylinder$\displaystyle x^2 + z^2 = 1$ that lies between the planes y = -1 and y = 3

x = sin(θ)

y =

z =

$\displaystyle where\ 0 \leq theta \leq \pi $