作者puppy110330 (慵懒的叶子)
看板trans_math
标题Re: [考古] 92暨南
时间Thu Jun 29 01:33:57 2006
※ 引述《aacvbn (我是卑微的专科生)》之铭言:
: ※ 引述《puppy110330 (慵懒的叶子)》之铭言:
: : 1.find the directional derivative f(x,y,z)=xySinz in the direction
: : --ˋ
: : u =(1/2^1/2,-1,1/2^1/2) at the point(2,1,拍/6)
: 1.
: (sol)
: -> -> ->
: ▽f = ysin(z) i + xsin(z) j + xycos(z) k
: π 1
: ▽f(2 , 1 , --- ) = < --- , 1 , 1 >
: 6 2
: ->
: π π u (3√2-4)
: D_ -> f( 2 , 1 , --- ) = ▽f( 2 , 1 , ---- )‧------ = --------
: (v ) 6 6 ||->|| 4√2
: ||u ||
-------
^
|
这代表??
ps:能否顺便解释题意?我不懂要求什麽>"<(2题都是)......麻烦了....
: : 2.find a triple interated integral for the volume inside the cone
: : z^2=x^2+y^2 bounded by z=0 and z=8
--
※ 发信站: 批踢踢实业坊(ptt.cc)
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1F:推 pboywc:u/|u|是单位向量 218.34.243.63 06/29 10:51