課程名稱︰微積分甲上
課程性質︰二組
課程教師︰黃漢水
開課學院：機械系
開課系所︰
考試日期（年月日）︰2009/11/4
考試時限（分鐘）：60min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1/3
1.sketch the graph of the function f(x)=x (x-4) (40%)
2. a right triangle is formed in the first quadrant by the x-axis,y-axis
and a line through the point (1,3). Find the vertices of the tringle such
that its area is a minimum.(40%)
x^2
3.Let G(x)=∫ [t^2/(t^4+1)]dt
2x-1
find the G'(x) and the values G'(0),G'(1). (20%)
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