A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls in t seconds is given by the function d(t) = 16t2 ft. (a) After how many seconds will the diver hit the water? (b) With what velocity (in ft/s) does the diver hit the water? ft/s

C = 200(9 + √5x) dC/dx = dollars per unit

When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens his parachute is given by  v = 176(1 − 0.834t ),  where t is the number of seconds that have elapsed since he jumped from the airplane. What is the velocity after 6 seconds? (Round your answer to two decimal places.) ft/s

Our heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 feet above the floor. The room is filling with water at a rate of 60 cubic feet per minute. When the water reaches a depth of 5.5 feet, how fast is the water rising? (V = LWH)