作者ONIspirit (嘎)
看板trans_math
标题[考古] 台大98研究所考古题
时间Mon Jan 25 22:52:42 2010
题目有点多 囧...
劳请板上高手救救我 Q_Q
1.
Let g(x) be the inverse function of f(x) = (x^2)*(e^x) for x >=0.
e
Find ∫ g(x) dx.
0
→
2. Given f(x,y) = x^3 + 2xy + y^3 , find the unit vector u such that
the directional derivative of f(x,y) at the point (1,2) and in the direction
→
u attains its maximum.
3.
8 2
Evaluate ∫ ∫ sin(y^4) dydx
0 x^(1/3)
4.
Let y=y(x) satisfy y(1)=1
3 2 3
and x + 2x y - y = 2 , Find y''(2)
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◆ From: 59.104.235.156
1F：→ a88241050:第4题不完整122.126.115.120 01/25 23:38
抱歉，已改正~
※ 编辑: ONIspirit 来自: 59.104.235.156 (01/25 23:58)