Consider the following vector equation. r(t) = - (3t 4, t + 5) (a) Find r'(t). r'(t) = (b) y 12 X 5 10 Sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = 1. y y -12 -10 -8 -6 -4 -2 y 10 5 -10 -5 10 -2 5 -5 x -4 -8 -10 10 8 166 + 2 -10 -12 x -10 -5 5 10 X