作者so15963 (榴槤)
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标题[试题] 99上 朱桦 微积分甲上 第四次小考
时间Sun Jan 16 04:08:56 2011
课程名称︰微积分甲上
课程性质︰共同必修
课程教师︰朱桦
开课学院:电资学院、工学院、管理学院
开课系所︰电机系、资工系、材料系、资管系
考试日期(年月日)︰2010/11/29
考试时限(分钟):20
是否需发放奖励金:是
(如未明确表示,则不予发放)
试题 :
1.(6pts)Find the values of c such that the area of the region bounded by the
parabolas y = x^(2)-c^(2) and y = c^(2)-x^(2) is 576.
2.(7pts)Find the volumn of a solid obtained by rotating about the y-axis the
region bounded by y = sin(x^(2)) and the x-axis for 0 ≦ x ≦ √π .
3.(7pts)Finds the volumn common to two circular cylinders, each with radius r,
if the axis of the cylinders intersect at right angels.
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