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此套Section I试卷共分两个部分组成
Part A计时55分钟,共28题
Part B计时50分钟,共17题
每道大题含有不同数量的小题
Part A需使用铅笔,无计算器
Part B可使用绘图计算器
完整版下载链接见文末
Section I,Part A,不可使用任何计算器: 6)The slope of the line tangent to the graph of y=ln(1-x) at x = -1 is
(A)1-
(B)-1/2
(C)1/2
(D)ln2
(E) 1
7)Let y = f(x) be the solution to the differential equation dy/dx = f'(x) with initial condition f(x)=3. Selected values of f' are given in the table above. What is the approximation for f(2.4) if Euler’s method is used, starting at x=2 with two steps of equal size?
11)The function f is continuous on the closed interval [0,6] and has values as shown in the table above. Using the intervals [0,2],[2,4] and [4,6], what is the approximation of obtained from a midpoint Riemann sum?
14)The figure above shows the graph of a function f. Which of the following could be the second-degree Taylor polynomial for f about x=2?
Section II,Part B,请使用Graphing Calculator: 76)A music group expects to sell a new compact disc (CD) at the rate R(t) = 20,000e-0.12t CDs per week, where t denotes the number of weeks since the CD was first released. To the nearest thousand, how many CDs are expected to be sold during the first 12 weeks after the release?
77)Let f be a function that is continuous on the closed interval[1,3] with f(1)=10 and f(3) =18. Which of the following statements must be true?
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