2013 AP Calculus BC微積分真題系列之選擇題免費下載

歷年AP Calculus BC微積分BC系列

真題與答案下載

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2013 AP Calculus BC Multiple Choice Practice Exam Free Download

2013 AP 微積分 BC 模擬卷選擇題部分免費下載

此套Section I試卷共分兩個部分組成

Part A計時55分鐘，共28題

Part B計時50分鐘，共17題

每道大題含有不同數(shù)量的小題

Part A需使用鉛筆，無計算器

Part B可使用繪圖計算器

完整版下載鏈接見文末

部分真題預覽：

Section I，Part A，不可使用任何計算器： 4）Which of the following is an equation of the line tangent to the graph of x²-3xy = 10 at the point (1,-3)?

1. y+3= -11(x-1)
2. y+3= - (7/3)(x-1)
3. y+3= (1/3)(x-1)
4. y+3=(7/3)(x-1)
5. y+3= (11/3)(x-1)

7)A population y changes at a rate modeled by the differential equation dy/dt=0.2y(1000-y), where t is measured in years. What are all values of y for which the population is increasing at a decreasing rate?

1. 500 only
2. 0 < y < 500 only
3. 500 < y < 1000 only
4. 0 < y < 1000
5. y > 1000

9)Let y = f(x) be the solution to the differential equation dy/dx = 2x +y with initial condition f(1) = 0. What is the approximation for f(2) obtained by using Euler's method with two steps of equal length, starting at x= 1?

1. 0
2. 1
3. 2.75
4. 3
5. 6

18)The graph of the function f, consisting of two line segments, is shown in the figure above. Let g be the function given by g(x) = 2x+1, and let h be the function given by h(x) = f(g(x)). What is the value of h'(1)?

1. -4
2. -2
3. 4
4. 6
5. nonexistent

Section II，Part B，請使用Graphing Calculator： 76）Let f be a function whose derivative is given by f ' (x) = ln(x⁴ +5x³ +x² -7x +28). On the open interval (-4,1), at which of the following values of x does f attain a relative maximum?

1. -3.623 only
2. -0.871 only
3. -3.623 and -3.284
4. -3.459 and 0.581 only
5. -3.459,-0.871, and 0.581

77)The function f has the properties indicated in the table above. Which of the following must be true?

1. f is continuous at x = -1
2. f is continuous at x = 0
3. f is continuous at x = 1
4. f is differentiable at x = 0
5. f is differentiable at x = 1

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