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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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2. The equation of the normal line for x
3
-xy+3y
2
=3 at
is _________
其他申論題
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
1.(a)=________
#529995
(b)=________
#529996
3. Let x2 sin(x2)=, then =_________
#529998
4. The directional derivative of f(x,y,z)= at (1,2,-2) in the direction of the path is ________
#529999
二、計算題 1. Evaluate .
#530000
2. Sketch the graph of f(x)=.
#530001
3. Evaluate .
#530002
4. Find the length of the curve y= between x=0 and x=1.
#530003
is _________
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is _________