5. Sketch the trace and compute the arc length of each of the following.

(a) 1>(t) = (et sint, et cost, et ), t E [0, 27r].

(b) y3 = x2 from (-1,1) to (1,1).

(c) 1>(t) = (t2, t2, t2), t E [0,2].

(d) The astroid of Example 13.5.