班 级 学 号 姓 名 密封装订线 密封装订线 密封装订线西南交通大学20112012学年第(一)学期考试试卷课程代码 2100077课程名称 advance mathematica考试时间120minutes 题号一二三四五六七八九十总成绩得分 阅卷教师签字： 符伟 一、 Directions: There are 5 questions in this part. Then mark the corresponding letter on the Answer Sheet with a single line. 1、 Lethave second order derivative and. If ,then （ ） A B . C . D .2、Suppose that as,then be . A. . B. . C. . D. 3、Let the function , then . A be first model discontinuity point of . B be second model discontinuity point of . C be continuity point of . D relation with a.4、Let function, then the particular solution form is ( ) . A . B . C . D .5、Let the function , then its derivative . A . B . C . D .二、Directions: There are 5 questions in this part. write the correct solution in the corresponding blank. 1、let the function , then the curve rate at the point (-1,1) be .2、let , equation of the tangent line to the curve at given point be .3、The region enclosed by the curves ,and is rotated about the . then the volume of the resulting solid v= .4、let differential equation, then the general solution y= .5、Evaluate the integral = . 三、Directions: There are 8 questions in this part. evaluate the following questions and write steps:( )1、Find the limit.2、Find the first and second derivatives of the function. 3、lEvaluate integral .4、Find the absolute maximum and absolute minimum values of function .5、Evaluate . 6、Solve differential equation 四、 (9) find the arc length function for the curvetaking (1,1)as the starting point.五、 五、(9) Show that the inequality for all.It i