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研究所、轉學考(插大)-微積分
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91年 - 91 中原大學_轉學生入學招生考試_理、工學院二年級_應用數學系：微積分#124602
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1.(a)
=________
其他申論題
10. If f(x,y) =, then =________
#529991
二、計算題: 1. Find the radius and interval of convergence for the series .
#529992
2. Find all relative extrema and saddle points of f(x, y) = x2 + y4 – 4xy + 1.
#529993
3. Find the integral , where R is the trapezoidal region with vertices (1, 0), (2, 0), (0, -2), and (0, -1).
#529994
(b)=________
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2. The equation of the normal line for x3-xy+3y2=3 at is _________
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3. Let x2 sin(x2)=, then =_________
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4. The directional derivative of f(x,y,z)= at (1,2,-2) in the direction of the path is ________
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二、計算題 1. Evaluate .
#530000
2. Sketch the graph of f(x)=.
#530001
=________
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=________