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zhiyuan3yu5
Group Title
a plate occupies an elliptic region G: x^2/4 + y^2/9 less than or equal to 1. the surface density of electric charge is G(x,y)=sin^5(xy^2). Find the total electric charge Q.
 2 years ago
 2 years ago
zhiyuan3yu5 Group Title
a plate occupies an elliptic region G: x^2/4 + y^2/9 less than or equal to 1. the surface density of electric charge is G(x,y)=sin^5(xy^2). Find the total electric charge Q.
 2 years ago
 2 years ago

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zhiyuan3yu5 Group TitleBest ResponseYou've already chosen the best response.0
dw:1353266741808:dw
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
x^2/4 + y^2/4<=1 That's a circle, not an ellipse
 2 years ago

zhiyuan3yu5 Group TitleBest ResponseYou've already chosen the best response.0
o oops it's supposed to be y^2/9
 2 years ago

Rezz5 Group TitleBest ResponseYou've already chosen the best response.0
are you trying to work ou the area of the plate?
 2 years ago

zhiyuan3yu5 Group TitleBest ResponseYou've already chosen the best response.0
so how do i apply G(x,y)=sin^5(xy^2) ?
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
Apologies, I misread the boundary function as the density function. \[\large \int\limits_{x=2}^{x=2}\int\limits_{y=0}^{y=\sqrt{9(1\frac{x^2}{4})}}\sin^5(xy^2)dydx+\int\limits_{x=2}^{x=2}\int\limits_{y=\sqrt{9(1\frac{x^2}{4}}}^{y=0}\sin^5(xy^2)dxdy\] I'm less sure about this one
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
Swap the last dxdy for dydx
 2 years ago

henpen Group TitleBest ResponseYou've already chosen the best response.1
I think that's OK, what do you think about the xbounds?
 2 years ago

zhiyuan3yu5 Group TitleBest ResponseYou've already chosen the best response.0
i think this is correct. thank you!
 2 years ago
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