(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

-Given that [tex]\rho_{v}[/tex]=6xy C/[tex]m^{2}[/tex], Calculate the total charge on the triangular region.

-the verticies of the triangle are: (0,0), (2,2) and (4,0)

2. Relevant equations

[tex]Q=\int_{s}\rho_{v}ds[/tex]

3. The attempt at a solution

[tex]=\int^{4}_{0}\int^{-x+4}_{x}6xy dydx[/tex]

[tex]=\int^{4}_{0}48x - 24x^{2} dx[/tex]

[tex]=24x^{2}-8x^{3}|^{4}_{0}[/tex]

[tex]=-128C[/tex]

According to the textbook the correct answer is 32C

any help would be appreciated!

Thanks,

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# Homework Help: Charge over a triangular region

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