不好意思 有10题 麻烦大家了 谢谢 1.A Deposit $P made into a fund with an annual interest rate of r . Fund the time (in years) necessary to double if the interest is compounded continuously. 2.determine the convergence or divergence for the following series: ∞ n! ∞ n! (a)Σ －－－ (b)Σ －－－ n=1 n^n n=1 10^n 3.For what values of η (demand elasticity of price, η>0) is the demand function p=37x^(-1/η) elastic, where p is the price of x? x-4 4.Find all intervals of x on which y=------- is concave down. x+4 dy siny 5.Find ---- for y^3+------=㏑√cosx +4x dx e^y 6.Find the area of the region bounded by the graphs of y=x^2 and y=2-x^2. 7.Find the integral ∫e^3xsin4xdx. 8.Please use (a) Trapezoidal rule, and (b) Simpson rule both with n=4 to 3 approximate ∫ (x+2)^3 dx. 1 9.Find the Maclaurin sreies representation for f(x)=e^(-x^2) , then (49) find f (0). 10.John拟於下月1日向某车商购置一辆新车，车商现在有两种优惠方案，一为现金价; 按原定价P元折抵X元(X<P)，一次付清;二为五年低利(年利率r)分期付款;依定价P元计 算，每月底还款Y元，试问John应如何比较此两方案以节省荷包(假设五年内市场年利率 维持固定为i，且i>r)? 想请问一下 我有看到麦克劳林级数 请问这是会考的重点吗??? 还有大约考哪些重点呢? 我快吓死了啦!我的天阿 --

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