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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.
(c)
其他申論題
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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(a)
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(b)
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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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(h)
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(a) Approximate the function f(x)= by a Taylor polynomial of degree 2 centered at 8.
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