摘要：計劃出國留學的同學可能會問AP考試容易嗎？為了讓同學們更好了解AP考試，三立小編為大家整理了2010-2018年AP各科考試真題大全。AP真題分為選擇題和簡答題兩個部分。本文，小編為大家分享的是2017年AP微積分AB真題及下載-簡答題(FRQ)部分，希望對你有所幫助！ 1. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet i
1. A tank has a height of 10 feet. The area of the horizontal cross section of the tank at height h feet is given by the function A, where A(h) is measured in square feet. The function A is continuous and decreases as h increases. Selected values for A(h) are given in the table above.
(a) Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate the volume of the tank. Indicate units of measure.
(b) Does the approximation in part (a) overestimate or underestimate the volume of the tank? Explain your reasoning.
(c) The area, in square feet, of the horizontal cross section at height h feet is modeled by the function f given 50.3 by f (h) = . Based on this model, find the volume of the tank. Indicate units of measure e0.2h + h
(d) Water is pumped into the tank. When the height of the water is 5 feet, the height is increasing at the rate of 0.26 foot per minute. Using the model from part (c), find the rate at which the volume of water is changing with respect to time when the height of the water is 5 feet. Indicate units of measure.
2. When a certain grocery store opens, it has 50 pounds of bananas on a display table. Customers remove bananas from the display table at a rate modeled by
where f (t) is measured in pounds per hour and t is the number of hours after the store opened. After the store has been open for three hours, store employees add bananas to the display table at a rate modeled by g(t) = 3 + 2.4 ln(t 2 + 2t ) for 3 < t £ 12,
where g(t) is measured in pounds per hour and t is the number of hours after the store opened.
(a) How many pounds of bananas are removed from the display table during the first 2 hours the store is open?
(b) Find f ¢(7). Using correct units, explain the meaning of f ¢(7) in the context of the problem.
(c) Is the number of pounds of bananas on the display table increasing or decreasing at time t = 5 ? Give a reason for your answer.
(d) How many pounds of bananas are on the display table at time t = 8 ?