diau uonsann Suppose the average number of vehicles arriving at the main gate of an amusement park is equal to 10 per minute, while the average number of vehicles being admitted through the gate per minute is equal to x Then the average x-5 waiting time in minutes for each vehicle at the gate is given by f(x) = where x>10. 2 - 10x (a) Estimate the admittance rate x that results in an average wait of 6 seconds. (b) If one attendant can serve 6 vehicles per minute, how many attendants are needed to keep the average wait time seconds or less? (a) Estimate the admittance rate x that results in an average wait of 6 seconds The admittance is about vehicles per minute. (Round to the nearest tenth as needed.)

The function A(x) = 0.003x³ -0.04x² +0.16x+0.05 approximates the blood alcohol concentration in a person's bloodstream x hours after drinking 8 ounces of a hard liquor. The function only applies to the interval [0,5]. On what time intervals is the blood alcohol concentration increasing? On what intervals is it decreasing? Determine the interval(s), if any, on which the blood alcohol concentration is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The blood alcohol concentration is increasing on the time interval(s) (Type your answer in interval notation. Use integers or decimals for any numbers in the expression. Round to the nearest hundredth as needed. Use a comma to separate answers as needed.) B. The blood alcohol concentration is never increasing.

if f(100)=5000 and f'(100)=10, estimate each of the following f(101)

Total net shipments of aluminum (in billions of pounds) are approximated by g(x) = 16.2 + 2.86 In(x + 1) where x=0 corresponds to year 1990 a) How many pounds of aluminum were sipped in 2004? b) Assuming the continued accuracy of the model, when will aluminum shipments reach 27,400,000,000 pounds?