1. The displacement from equilibrium of a weight oscillating on the end of a spring is given by y = 1.56e-0.22t cos 4.9t
Where y is the displacement (in feet) and t is the time (in seconds). Use a graphing utility to graph the displacement function for 0 ≤ t ≤ 10. Find the time beyond which the distance the weight and equilibrium does not exceed 1 foot.
2. The monthly sales S (in hundreds of units) of skiing equipment at a sports store are approximated by S = 58.3 + 32.5 cos πt / 6 where t is the time (in months), with t = 1 corresponding to January. Determine the months in which sales exceed 7500 units.