19. a. prtx end insert delete CE 12 num Use the given information to determine the signs of the first and second derivatives. A newspaper headline reported the Secretary of Defense as saying that Congress and the Senate had cut the defense budget. As his opponents pointed out, however, Congress had merely cut the rate at which the defense budget was increasing. Let B(t) represent the defense budget t years from 1990. B' B'' b. Suppose that I(t) represents a company's inventory of a particular product t weeks from the beginning of the year. Also suppose that during Christmas season, the inventory is being depleted and is being depleted rapidly. I'' C. Let T(t) represent the national average SAT mathematics test score t years after 1990. Suppose test scores are down again this year, but not as much as in previous years. T' T'' d. If you jump out of an airplane without a parachute, you will fall faster and faster until wind resistance causes you to approach a steady velocity, called a terminal velocity. Let V(t) be your velocity t seconds after you jump from the airplane. e. V' V" Let S(t) represent your annual salary t years after beginning work at a company. Suppose the company gives you an annual raise of 4% on the anniversary date of your employment. S' S"