※ 引述《egg790724 (雞蛋)》之銘言：
: (9)Integrate f(x,y,z)=x-3y^2+z over the line segment X
: joining the point (1,1,0) to the point (1,1,1).
: (11)Find the circulation of the field F(x,y,z)=(x^2-y)i+4zj+x^2k
: around the curve C in which the plane z=2 meets the cone z=(x^2+y^2)^1/2
: counterclockwise as viewed from above.
: 這兩題不知道怎麼下手@@
: 請各位高手幫忙一下
: 謝謝~
(9)r(t)= i + j + tk
dr/dt=k=v(t) |v(t)|=1
線積分公式:∫f(t) |v(t)| dt (0<=t<=1)
(10)F(x,y,z)=Mi+Nj+Pk
circulation=∫Mdx+Ndy+Pdz
z=2 與 z=(x^2+y^2)^1/2 交於一個(x^2+y^2)=4的圓軌跡
公式帶入得解
PS:不負責任隨便解.....
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※ 編輯: gs9706 來自: 219.86.81.192 (07/05 20:47)