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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.
 one year ago
 one year ago
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.
 one year ago
 one year ago

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zhiyuan3yu5Best ResponseYou've already chosen the best response.0
dw:1353266741808:dw
 one year ago

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

zhiyuan3yu5Best ResponseYou've already chosen the best response.0
o oops it's supposed to be y^2/9
 one year ago

Rezz5Best ResponseYou've already chosen the best response.0
are you trying to work ou the area of the plate?
 one year ago

zhiyuan3yu5Best ResponseYou've already chosen the best response.0
so how do i apply G(x,y)=sin^5(xy^2) ?
 one year ago

henpenBest 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
 one year ago

henpenBest ResponseYou've already chosen the best response.1
Swap the last dxdy for dydx
 one year ago

henpenBest ResponseYou've already chosen the best response.1
I think that's OK, what do you think about the xbounds?
 one year ago

zhiyuan3yu5Best ResponseYou've already chosen the best response.0
i think this is correct. thank you!
 one year ago
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