作者jesonk (东区)
看板NTU-Exam
标题[试题] 99上 周青松 微积分甲上 第二次小考
时间Sun Jan 16 03:44:43 2011
课程名称︰微积分甲上
课程性质︰必修
课程教师︰周青松
开课学院：管理学院、生农学院、理学院
开课系所︰工管系科管组、生机系、生工系、地质系
考试日期（年月日）︰2010/12/10
考试时限（分钟）：50分钟
是否需发放奖励金：是
试题 :
I.(25%)Evaluate the following integral.
3π/2 ｜2sinx ,0<= x <=π/2
∫ f(x)dx , where f(x)=｜
0 ｜2+cosx ,π/2< x <=3π/2
II.(25%)Given f''(x)=sinx , f'(0)=-2 and f(0)=1. Find f.
III.(25%)The region between y=cosx and the x-axis for x属於[0,π/2] is divided
into two subregions of equal area by a line x=c. Find c.
IV.(25%)Sketch the region Ω bounded by the curve y=x^2 and y=2-|x| and use
the shell method to find the volume of the solid generated by revolving
Ω about the x-axis.
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