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106年 - 106 國立臺灣大學轉學生招生考試試題_理工科聯招：微積分(B)#110859
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14. Evaluate the deinite integral
其他申論題
計算題 (1)設R為xy一平面上,由四直線2x+3y=0,3x+y=0,xー2y=1,xー2y=2所圍城之區域。求
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11. Suppose that a, b and c are constants and =2, then (a,b) = __(11)__.
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12. Let f(x)=ex(ex-1)(ex-2)...(ex-106). Find f'(0)=__(12)__.
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13. Suppose that f(4) sa continuous function on (1, ∞) satiryjing
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15. The length of the curve C : (x(t),y(t))=,0 ≤t ≤1is__(15)__.
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16. Reverse the order of the iterated integral f(x,y)dydx :____ (16)__.
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17. Given a family of parabolas . Let An be the area between .Find the limit.
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18. Use the 'Taylor series method to find the limit
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19. Suppose that f(t) is a continuous function on [0,∞) satisfying Find f(t).
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1.設f(x)=，若直線L曲線y=f(x)過(c,f(c))的切線且通過 (8,5),則c=______
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