59. 60. A person standing close to the edge on the top of a ZOO-foot building throws a baseball vertically upward. The quadratic function s(r) = ~16:2 + 64t + 200 models the ball's height above the ground, 5(1), in feet, I seconds after it was thrown. a. After how many seconds does the ball reach its maximum height? What is the maximum height? b. How many seconds does it take until the ball nally hits the ground? Round to the nearest tenth of a second. c. Find 5(0) and describe what this means. d. Use your results from parts (a) through (c) to graph the quadratic function. Begin the graph with I = 0 and end with the value of t for which the ball hits the ground. A person standing close to the edge on the top of a 160vfoot building throws a baseball vertically upward. The quadratic function 50*) = 16t2 + 64: + 160 models the ball's height above the ground, 5(1), in feet, 1 seconds after it was thrown. a. After how many seconds does the ball reach its maximum height? What is the maximum height? b. How many seconds does it take until the ball nally hits the ground? Round to the nearest tenth of a second. c. Find 3(0) and describe what this means. d. Use your results from parts (a) through (c) to graph the quadratic function. Begin the graph with t = 0 and end with the value of t for which the ball hits the ground. 61. 62. 63. 65. 66. Among all pairs of numbers whose sum is 16, find a pair whose product is as large as possible. What is the maximum product? Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible. What is the maximum product? Among all pairs of numbers whose difference is 16, find a pair whose product is as small as possibie.What is the mini- mum product? Among all pairs of numbers whose difference is 24, nd a pair whose product is as small as possible. What is the mini- mum product? You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the