3) Position of a spring bounces up and down in simple harmonic motion can be modeled by the function

?(?)= ?6cos? where s is measured in inches in sec.

a) Find the rate at which the spring is oscillating at t = 5.

b) Find the time when the spring first stop.

3) Position of a spring bounces up and down in simple harmonic motion can be modeled by the function s(t) = -6 cost where s is measured in inches in sec. a) Find the rate at which the spring is oscillating at t = 5. b) Find the time when the spring first stop.5) Let y = cos(u), u = x* + 1, use Leibnitz's notation of chain rule to find dy dx9) Find equation of tangent line at y = sin (E) at x = 0. 10) The position function ofa 'eight train is given by 3(t) = 1000' + 1T2, s is in meters and t is in see. a) Find velocity and acceleration of the train at t = 6. b) Is the train speeding up or slowing down at t = 6