2013 AP Calculus BC微積分真題系列之簡答題免費下載

歷年AP Calculus BC微積分BC系列

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2013 AP Calculus BC Free-Response Questions Free Download

2013 AP 微積分 BC 簡答題部分免費下載

此套Section II試卷共分兩個部分組成

Part A計時30分鐘，共2題

Part B計時1小時，共4題

每道大題含有不同數量的小題

Part A可使用繪圖計算器

Part B不可使用任何計算器

完整版下載鏈接見文末

部分真題預覽：

Section II，Part A，請使用Graphing Calculator：

1）On a certain workday, the rate, in tons per hour, at which unprocessed gravel arrives at a gravel processing plant is modeled by ?where t?is measured in hours and 0 ≤t?≤?8.? At the beginning of the?workday (t =0), the plant has 500 tons of unprocessed gravel. During the hours of operation,0 ≤t?≤?8, the plant processes gravel at a constant rate of 100 tons per hour.

1. Find G' (5).? Using correct units, interpret your answer in the context of the problem.
2. Find the total amount of unprocessed gravel that arrives at the plant during the hours of operation on this workday.
3. Is the amount of unprocessed gravel at the plant increasing or decreasing at time t =?5 hours? Show the work that leads to your answer.
4. What is the maximum amount of unprocessed gravel at the plant during the hours of operation on this workday? Justify your answer.

Section II，Part B，不可使用任何計算器：

4）The figure above shows the graph of f '?, the derivative of a twice-differentiable function f, on the closed interval 0 ≤ x≤?8. The graph of f '?has horizontal tangent lines at x =1, x=3, and x=5. The areas of the regions between the graph of f '?and the x-axis are labeled in the figure. The function f?is defined for all real numbers and satisfies f (8) =?4.

1. Find all values of x?on the open interval 0 <x?<?8 for which the function f?has a local minimum. Justify your answer.
2. Determine the absolute minimum value of f?on the closed interval 0 ≤ x≤?8.?Justify your answer.
3. On what open intervals contained in 0 <x?<?8 is the graph of fboth concave down and increasing?
4. The function g is defined by g(x) = (f(x))³. If f(3)= -5/2, find the slope of the line tangent to the graph of g at x = 3.

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