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 2 years 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.
 2 years 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.

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

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

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

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

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

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1Apologies, 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

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

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

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