作者larryfeng (ㄚ峰)
看板trans_math
标题[考古] 一些综合的考古问题
时间Wed Jul 8 02:13:12 2009
n 1
(1) lim Σ -------------- =?(Answer ”None” if the limit does not exist. )
n→∞ i=1 √(n^2+ni)
1 x t^2
(1) Find lim ------∫ -------------- dt
x→0 x^3 o t^4 + 1 (变换的话 我该怎麽令？)
(2)Integrate f ( x,y,z ) = x-3y^2+z over the line segment C
joining the points ( 1,1,0 ) to the point ( 1,1,1 ).
(1)Which is not a relative (local) extreme point of the function
f(x,y) = xyz-(x^2 +y^2)/2?
(a) (1,1) (这题得意思是我该怎麽做？)
(b) (1,-1)
(c) (-1,1)
(d) (-1,-1)
(e) (0,0)
(3)The minimum of f(x,y,z) = 4x – 2y – 3z subject to the constraint
2x^2+y^2-3z=0 (这方面的题目都没有教过，完全自己读，所以不太熟)
(不知道怎麽下手怎麽做才好？)
(4)Find the Jordan curve C that maximizes the line integral and the
corresponding maximum
8 2 1
Evaluate the integral ∫ ∫ ------------ dydx
0 3 1+y^4
√x
好多观念若有若无的
好茫然
希望高手多多指点！
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1F：推 albert350:1.题出1/n换成0~1的积分1.罗必达 114.46.61.16 07/08 02:23
2F：→ albert350:2.线积分1.1.t ,1.两个变数的极大极小 114.46.61.16 07/08 02:23
3F：→ albert350:3.拉格郎日乘子法4.换序 114.46.61.16 07/08 02:24
4F：推 albert350:等等...第三个1题x.y函数里面为什麽有z 114.46.61.16 07/08 02:30