Find the position vector for a particle with acceleration, initial velocity, and initial position given below.
a(t) = (3t, 6 sin(t), cos(4t)) v(0) = (-1,0, 4) r(0) = (-4, 0, - 2) r(t) =
Find the length of the curve r(t) = (3 cos(5t), 3 sin(5t), 5t) for -8 ≤ t ≤1 Give your answer to two decimal places