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研究所、轉學考(插大)-微積分
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108年 - 108 國立臺灣大學轉學生招生考試試題_(商、管、農、經學院聯招) ：微積分(C)#113211
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5. f(x) = 1/(x
2
- x-2) = Taylor series =
=?
其他申論題
1 Lemniscate (x2 + y2)2 = x2 -y2 At the point (x,y)= dy/dx=?
#483672
2. If x3+y3= 3xy, then x + y≤max = ?
#483673
3. The probability density function of an exponential distribution is f(x) = if x ≧ 0, f(x) = 0 if x ＜ 0. Find the expected value E(x) = ?
#483674
4.f(x) = = ?
#483675
6.A =(-1,0), B=(0,1),C =(2,2). Use the method of least squares to find a line y = mx+b that best fits A, B, C. m =?, b=?.
#483677
7. = ?
#483678
8. Find the area of the surface z = xy, x2 + y2 ≦ 1.
#483679
9.y= f(x), y' =2 y(10-y), f(0)=1,f(x)=?
#483680
10. Polar coordinate x = r cosθ , y = r sineθ. Cardioid r = 1 - sinθ . At the point (x,y)=(1,0) d2y/dx2=?
#483681
1.=?
#483682
=?
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