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研究所、轉學考(插大)-微積分
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97年 - 97 國立臺灣師範大學_學士班轉學生招生考試試題_地球科學系二年級：微積分#122361
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題組內容
2. Find the derivatives of the following functions.
(c) (5 分) f(x) =
其他申論題
6. Find the maxima and minima of the function f(x, y) = x² + 3xy + y² subject to the constraint x² + y² ≤ 1. (20 分)
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(a) (5 分) f(x) =cos x
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(b) (5 分) f(x) = + 5sin x
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(a) (5 分)∫x2 ex3dx
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(b) (10 分)dx
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4. (10 分) g(x) =f(t)dt, where $f$ is a function whose graph is shown as Fig. 1. Calculate g(6) and g'(6).
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5. (5 分) Use the Integral test to determine the convergence or divergence of the following series.
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6. (5 分) Use the Ratio or Root Test to determine the convergence or divergence of the following series.
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7. (10 分) Find the tangent line to the curve of intersection of the surfaces z = x2 + y2andx + y + z = 33 at a point (1, 2, 5).
#521126
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