Asked by Taylor
Use Stokes' Theorem to evaluate
C
F · dr
where C is oriented counterclockwise as viewed from above.
F(x, y, z) = yzi + 9xzj + exyk,
C is the circle
x2 + y2 = 1, z = 3.
C
F · dr
where C is oriented counterclockwise as viewed from above.
F(x, y, z) = yzi + 9xzj + exyk,
C is the circle
x2 + y2 = 1, z = 3.
Answers
Answered by
Damon
curl of F over the surface
curl is
i j k
d/dx d/dy d/dz
fx fy fz
is
=(dFz/dy-dFy/dz)i
+(dFx/dz-dFz/dx)j
+(dFy/dx-dFx/dy)k
here Curl F
=(ex-9x)i
+(y-ey)j
+(9z-z)k
curl is
i j k
d/dx d/dy d/dz
fx fy fz
is
=(dFz/dy-dFy/dz)i
+(dFx/dz-dFz/dx)j
+(dFy/dx-dFx/dy)k
here Curl F
=(ex-9x)i
+(y-ey)j
+(9z-z)k
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.