MATH213 - Calculus III
4. Given r'(t) = (e^{2t}, 1 - 2e^{-t}, 1 - 2e^{t}); r(0) = (1, 2, 0) find r.
2 Arc Length
5. Find the length of the curves:
(a) r(t) = (3t, 2 cos(t), 2 sin(t)), 0 ≤ t ≤ 3π
(b) r(t) = (cos(t) + t sin(t), sin(t) - t cos(t)), 0 ≤ t ≤ π/2
Worksheet 02