Consider the curve with parametric equation:
r(t) = 2 cos ti + 2 sin tj + 3 cos tk, 0 ≤ t ≤ 2Π.
a. Describe the curve in terms of the intersection of two surfaces in space.
b. Sketch the curve, indicating the induced orientation.
c. Express the length of the curve as a definite integral.
d. Obtain a numerical approximation to the value of the integral derived in (c).