Find the lengths of each of the curves in Problem 35. You will first have to set

Question:

Find the lengths of each of the curves in Problem 35. You will first have to set up the appropriate integral and then use a computer to evaluate it.
In problem 35
(a) x = 3 cos t, y = 3 sin t, 0 ≤ t ≤ 2π
(b) x = 3 cos t, y = sin t, 0 ≤ t ≤ 2π
(c) x = t cos t, y = t sin t, 0 ≤ t ≤ 6π
(d) x = cos t, y = sin 2t, 0 ≤ t ≤ 2π
(e) x = cos 3t, y = sin 2t, 0 ≤ t ≤ 2π
(f) x = cos t, y = sin πt, 0 ≤ t ≤ 40