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研究所、轉學考(插大)-微積分
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104年 - 104 國立臺南大學_轉學生招生考試試題_(理工聯招)二年級：微積分#124202
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題組內容
1. Evaluate the derivatives or integrals of the following functions.
(a)
其他申論題
7. Evaluate the double integral , where D≔{(x,y)| 0≤x≤2,1≤y≤2}.
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8. Evaluate +xdy, where C is a line segment from (-5,-3) to (0,2).
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9. Let E≔{(x,y,z)| x2+y2 ≤ z ≤ 1} with the boundary ∂Eand n be the outward-pointing normal vector. Given a vector fieldF(x,y,z)=(+2x-sinz,x-cosz,sin sin(y2)-z2).Please evaluate
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10. Determine if the series converges. Prove or disprove it.
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(b)
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(c)
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(d)If f(x)+x2[f(x)]3=10 and f(1)=2,f'(1) =?
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(e)
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(f)
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(g)
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