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研究所、轉學考(插大)-微積分
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101年 - 101 國立臺北大學_學士班暨進修學士班轉學生招生考試試題_資訊工程學系二年級：微積分#119102
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題組內容
2. Find the following definite or indefinite integrals: (35%) (each is 7%)
ii.∫sec xdx
其他申論題
iv.
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V.
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vi.
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i.∫(Inx)2dx
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iii.∫2x tan-1xdx
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iv. If f(x,y) = xy, evaluatewhere D is the region bounded by the line y=x-1 and the parabola y2 =2x+6.
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V.
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3. (7%) Find the value of p for which the integral dx converges..
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4. (8%)Find the directions in which the directional derivative of f(x,y)= ye-xy at the point (0,2) has the value 1.
#506910
5. (8%) What is the maximum error possible in using the approximation when-0.5 ≤x≤0.5.
#506911
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