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 2 years ago
vector field: F(x,y,z) = (cosxsiny sinxcosz, sinxcosy sinzsiny, cosycoszsinzcosx +1). How do I find the line integral of F using the potential? (Potential was previously worked out: ϕ(x,y,z) = sinxsiny+cosxcoszcosysinz)
 2 years ago
vector field: F(x,y,z) = (cosxsiny sinxcosz, sinxcosy sinzsiny, cosycoszsinzcosx +1). How do I find the line integral of F using the potential? (Potential was previously worked out: ϕ(x,y,z) = sinxsiny+cosxcoszcosysinz)

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abb0t
 2 years ago
Best ResponseYou've already chosen the best response.0I think you start by finding the gradient vector first of f on a given range. I think.

KonradZuse
 2 years ago
Best ResponseYou've already chosen the best response.0What did I just read....? @Hero @TuringTest @amistre64 @UnkleRhaukus

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0I'm not sure what is meant by "line integral using the potential". On what line are you integrating?

katspaws
 2 years ago
Best ResponseYou've already chosen the best response.0Hm, watch this: http://www.youtube.com/watch?v=zq9Ljkz_Yng Summarily, I am trying to calculate the work done by a vector field, and this is found out by working out the line integral (apparently this is Calculus III)

slaaibak
 2 years ago
Best ResponseYou've already chosen the best response.3since it is conservative, it would be f(r(b))  f(r(a)) refer to fundamental theorem for line integrals

katspaws
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks, I've got it now. :)
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