[考古] 高大95年
到仿間書局找過了，找不到答案
所以把題目po上來，麻煩大家幫我解題
如果有能力一次解下面10題者，可來信報價錢
(會先提供一些有解答的題目，做測試，看是否確實有能力)
或者有95高大詳解者，也可直接來信報價
∞
1.∫ (1/x)dx
1
1
2.∫ (1/x^3)dx
-1
∞
3.∫ (1/x^2)dx
1
4.Find the partial derivatives forthe following function.
(a)f(u，v)=(3u-2v)/(u^2+3v)
(b)g(x，y)=(x+2)^2(y+3)^3
5.Find the total derivative of the following function.
(a)y=f(x，w)，where x=g(w)
(b)y=f(c，s)，where s=g(c)
(c)y=f(x1，x2，w)，where x1=g(w) and x2=h(w)
(d)y=f(K，L，u，v)，where K=g(u，v) and L=h(u，v)
6.Find the derivative of the following function.
(a)t^3*lnt^2
(b)x^a*e^kx-c
7.Find dz and dz^2 of the following function.
(a)z=f(x，y)
(b)z=f(x，y，w)
8.Check z=x^2+y^2 for convexity or concavity by the derivative conditions.
9.Finf the extremes value(s) of z=2x^2+xy+4y^2+xw+w^2+2.
10.Using the Lagrange-multiplier method and find the extremum of z=x^2+y^2
subject to x+4y=2.
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