Find f '(x) and f "(x). f(x) = (x 3 + 2)ex A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x(t) = 4 sin(t), where t is in seconds and x is in centimeters. 27T/3. equilibrium position (a) Find the velocity and acceleration at time t. v(t) a(t) Find the limit. tan(8t) lim sin(2t) (b) Find the position, velocity, and acceleration of the mass at time t = In what direction is it moving at that time? 0, the mass is moving to the Since left right