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94年 - 94 中原大學轉學生招生考試_理工、化學群組二年級:微積分#124618
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題組內容
二、計算證明題
1. Consider
........(*)
(b) Evaluate (*).
其他申論題
14. Let f(x, y) = cos(x2 + y), x = and y = st =_________
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15. Find :_________.
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16. Let f(x, y, z) = x + 2xy - 3z2. Find the direction vector along which the directional derivative at the point (1, 0, 4) reaches its maximum. =_________
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(a) Plot the domain of integration of (*).
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2. (a) Prove that for r ∈ R.
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(b) Evaluate
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1. Consider the function definded by f(x) =, f(x) =_______
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2. Find =_______
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3. Find =_______ , if
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4.=_______
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