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Find the absolute maximum and absolute minimum values of f(x) = 2x3- 9x2 - 24x + 9 on the closed interval [-2,5]. NOTE: The values correspond to the y-coordinate (answers the question of "what"). Minimum value: Maximum value:Question 2 (2 points) Find the critical numbers of the function f(x ) = x4/5 (x - 2)2 Smallest value: X= A Largest value: X= A Other value (enter in fractional form a/b): AA car is travelling along a straight road at a constant speed of 10 ft/s. At the moment the car passes directly beneath a hot air balloon, the hot air balloon is 40 ft above the ground. The hot air balloon is rising at a constant rate of 4 ft/s. How fast is the distance between the car and the hot air balloon changing 5 seconds after the hot air balloon is directly above the car? Round your final answer to one decimal place.A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. How fast is the tip of his shadow moving when he is 40 ft from the pole? Write answer in fractional form a/b in lowest terms and do NOT include units when typing your answer.Find the critical numbers of the function h (t) = +3/4 _ 8+1/4 Smaller value: t= Larger value (write answer in fractional form a/b): t=At noon, ship A is 90 km west of ship B. Ship A is sailing south at 10 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 4:00PM? (Round your answer to the nearest whole number and do NOT INCLUDE units with your answer)