作者lf2deep (啾咪)
看板FCU_Talk
标题[用功] 求神人帮解向量分析的题目
时间Wed Dec 30 00:40:31 2009
(1.)Evaluate ∫∫∫fdV , where f(x; y; z) = x + y + z
and R is the region between x^2 + y^2 + z^2 = 1 and x^2 + y^2 + z^2 = 4.
(2.)Evaluate ∫∫∫fdV , where f(x; y; z) = x + y + z
and R is the regionbelow the plane z = 1 and above the paraboloid z = x^2
+ y^2.
(3.)Evaluate ∫∫∫(x-y)dxdydz, where R is the region inside the cylinder
x^2+y^2<=4,
above the plane z = 0, and below the plane z = x^2 + y^2.
(4.)Evaluate ∫∫RdA by the Cavalieri's principle, where R is a ball of r=1，
centered at (1,1,1).
(5.)Find all the extrema of the function f(x,y) = x^2y + xy^2.
(6.)Find all the extrema of the function f(x,y) = log(x^2 + y^2 + 1).
(7.)∫(x - 2y^2 + 1)dx, where C is parameterized by p(t) = (t + 1; t^2-1)
for 0＜= t ＜= 5
(8.)Evaluate∫∫∫[(x^2 + y^2 + z^2)^3/2]dxdydz, where R is the region
bounded by
the spherical surface x^2 + y^2 + z^2 = 16, and three planes: xy-plane,
yz-plane, and xz-plane.
(Note: x、y、z都大於等於0.)
老师说期末考会从里面几题考出来，所以恳求神人帮忙，谢谢～
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1F：推 azlbf:你只是单纯没上课..这课本例题吧 12/30 01:17
2F：→ b2209187:... 都要期末了难道你自己解不出来...= = 12/30 01:18
3F：→ b2209187:你看着课本都算不出来吗... 12/30 01:18
4F：推 asimon:不懂 xDa 12/30 02:56
5F：→ lf2deep:我们没有课本 只有上课讲义 这些题目老师上课都没有讲解过 12/30 09:55
6F：推 dalyadam:唔 是..红袜铭吗 12/30 12:38
7F：→ scotttimmy:如果题目不会就表示上课没再听,就算不会总有同学会吧! 12/30 13:42
8F：→ scotttimmy:你不觉得问同学会比较快吗!? 12/30 13:42
9F：推 YoungDiaw:阿铭都说学期40几 出席别太夸张都会过了 12/30 14:55
10F：→ osunriceo:我是笨蛋...我都看不懂 12/30 19:46