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Phy Sci 6.1.55 Question Help A ball is thrown upward from a height of 1152 feet above the ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t) =96 - 32t feet per second. a) Find s(t), the function giving the height of the ball at time t. b) How long will the ball take to reach the ground? c) How high will the ball go?Bus Econ 6.1.65 Question Help Drilling of an oil well has a fixed cost of $70,000 and a marginal cost of M'(x) = 4000 + 92x dollars per foot, where x is the depth in feet. Find the expression for M(x), the total cost of drilling x feet. [Note: M(0) = 70,000] M(x) =Phy Sci 6.1.59 Question Help An object is taken from a freezer at - 8" C. Lett be the time in hours after the object was taken from the freezer. At time t the average temperature of the object is increasing at the rate of T'(t) = 20 e - 0.5t degrees Celsius per hour. Find the temperature of the object at time t. T(t) =Soc Sci 6.1.63 Question Help During weeks in a certain flu season, the rate at which the number of cases of influenza per 100,000 people in a country changed could be approximated by I'(t) = 3.266 2 0.1055t where I is the total number of people per 100,000 who have contracted influenza and t is time measured in weeks. Estimate I(t), the total number per 100,000 who have contracted influenza by time t. Assume that I(0) = 0. I(t) = (Round to four decimal places as needed.)