2017 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

真題與答案下載

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2017 AP Calculus BC Free-Response Questions Free Download

2017 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）For 0≤t ≤ 8, a particle moving in the xy-plane has position vector[x(t),y(t)] =[sin(2t), t²-t],where x(t) and y(t) are measured in meters and t is measured in seconds.

1. Find the speed of the particle at time t=2 seconds, Indicate units of measure.
2. At time t=4 seconds, is the speed of the particle increasing or decreasing? Explain your answer.
3. Find the total distance the particle travels over the time interval? 0≤t ≤ 5 seconds.
4. At time t=8 seconds, the particle begins moving in a straight line. For t≥8, the particle travels with the same velocity vector that it had at time t=8 seconds. Find the position of the particle at time t=10 seconds.

Section II，Part B，不可使用任何計算器： 4） The function F satisfies f(o)=20. The first derivative of f satisfies the inequality 0≤f'(x)≤7 for all x in the closed interval [0,6]. Selected values of f' are shown in the table above. The function f has a continuous second derivative for all real numbers.

1. Use a midpoint Riemann sum with three subintervals of equal length indicated by the data in the table to approximate the value of f(6).
2. Determine whether the actual value of f(6) could be 70. Explain your reasoning.
3. Evaluate
4. Find