Question

check

Answer 1

\[s:(z=1-\sqrt{x^2+y^2})\]\[F=[x^2y,2+xz,z^2]\]\[0 \le z \le 1\]verify stokes theorem
\[\int\limits_{C}^{}F.dr=\int\limits{\int\limits_{\S}^{}curl(F).n dA}\]

Answer 2

haha everyone left...sorry im unfamiliar with stokes thm

Answer 3

oh its ok :D ... i just want to check my answer .. but thanks

Answer 4

I got\[\int\limits_C\vec F\cdot d\vec r=\int_{0}^{2\pi}2\cos t-\cos^2t\sin^2tdt=-\frac\pi4\]I have yet to see if I get the same answer using the surface integral....

Answer 5

its too hard to type my answer on here lol,, i got same answer when i found the surface integral ... Thanks turing :D

Answer 6

yay, because I can't seem to do the surface integral
did you do it in cylindrical coordinates or cartesian?

Answer 7

polar
\[r(r, \theta)=[rcos \theta, r \sin \theta, 1-r]\]

Answer 8

right, meant polar or cartesian
ok, thanks :D

Answer 9

lol yeah :D:D