Problem 2 Arc length parametrization. Consider the curve given parametrically by r(t) = (3 + 3cost3 - 4sint3, 1,2 + 4 cost3 + 3 sint]). (i) Find a formula for the arc length from 0 to t. (ii) Reparametrizationith respect to the arc length starting from t = 0.Problem 1 Curvature of a curve. Consider the curve with the vector equation r(t) = (3sin(t), 4t, -3 cos(t)). (i) For what value(s) of t does r(t) lie on the sphere x* + y' + 2 = 41 ? (ii) Find the unit tangent vector T(t) and the curvature k(t)