課程名稱︰微積分甲上
課程性質︰共同必修
課程教師︰朱樺
開課學院：電資學院、工學院、管理學院
開課系所︰電機系、資工系、材料系、資管系
考試日期（年月日）︰2010/11/29
考試時限（分鐘）：20
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
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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