1). The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management estimates that
the profit (in dollars) realizable by the company for the manufacture and sale of x units of thermometers each week is represented by the function below, where x ≥ 0. Find the interval where the profit function P is increasing and the interval where P is decreasing.
P(x) = −0.005x2 + 8x − 5,000
2). The height (in feet) attained by a rocket t sec into flight is given by the function
h(t) = − 1/3t^3 + 14t2 + 29t + 16 (t ≥ 0).
a). When is the rocket rising?
b). When is it descending?