- #1
unknown_2
- 29
- 0
Homework Statement
-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)
Homework Equations
[tex]Q=\int_{s}\rho_{v}ds[/tex]
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,