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研究所、轉學考(插大)-微積分
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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
........(*)
(a) Plot the domain of integration of (*).
其他申論題
13. Let f(x, y) = , x = 1 + t2 and y = 1 - t• =_________
#530118
14. Let f(x, y) = cos(x2 + y), x = and y = st =_________
#530119
15. Find :_________.
#530120
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. =_________
#530121
(b) Evaluate (*).
#530123
2. (a) Prove that for r ∈ R.
#530124
(b) Evaluate
#530125
1. Consider the function definded by f(x) =, f(x) =_______
#530126
2. Find =_______
#530127
3. Find =_______ , if
#530128
........(*)
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........(*)