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wladston
Group Title
I need to calculate Integral (F . dr), where F(x,y,z) = (z^2, xz, 2xy) and C is the curve obtained from the intersection of the surface z=1y^2, when z>=0 and the plane 2x+3z=6. I'm trying that one for over 5 hours already...
 one year ago
 one year ago
wladston Group Title
I need to calculate Integral (F . dr), where F(x,y,z) = (z^2, xz, 2xy) and C is the curve obtained from the intersection of the surface z=1y^2, when z>=0 and the plane 2x+3z=6. I'm trying that one for over 5 hours already...
 one year ago
 one year ago

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richyw Group TitleBest ResponseYou've already chosen the best response.0
hmm. what have you done so far?
 one year ago

wladston Group TitleBest ResponseYou've already chosen the best response.1
so far I've made a sketch of the surface, I calculated curl F and I applied the stoke's theorem to get Integral ( <x, 2y2z,z>) dS. I have no idea how to move on.
 one year ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
wait why is that integral a vector? sorry I am just learning this stuff right now. I'm not even in vector calculus yet. just the basics from multivariable calc. I would like to see how to do this as well!
 one year ago

wladston Group TitleBest ResponseYou've already chosen the best response.1
Over 8 hours trying to solve this problem, still nothing :( Well, it's a vector integral because the integral is not over a scalar function, but over a vector field ... this stuff is complex. I'll have an exam tomorrow morning (my final) and I can see I'm completely screwed ...
 one year ago

wladston Group TitleBest ResponseYou've already chosen the best response.1
it looks like I can transform this integral I'm left with using this relation : (attached image) I just don't know how to apply this into my integral :(
 one year ago

wladston Group TitleBest ResponseYou've already chosen the best response.1
mainly because I don't know how to calculate the normal of a surface.
 one year ago
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