Consider the vector function r(t) = 2 cos t, 2 sin t, 2 sin t

(a) Write the equation of the tangent line to the curve at the point (0, 2, 1).

(b) Write equations for two surfaces on which the graph of r(t) lies.

(c) Give an integral that finds the length of the curve from t = 0 to t = 10. No need to evaluate the integral.

(d) Find the curvature of r(t) at the point (0, 2, 1).

(e) Find the angle between r(t) and s(t) = 2, t, 2 at each point of intersection.