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Can someone tell me if I am doing this right?? mass using double integrals
A plate occupies the triangular region with vertices (0,0), (0,1), (2,1). The mass density is given by the function \lambda(x,y) = x+y. Find the mass of the plate,
This is what I have:
M = \int0-2\intx-1 k(x+y)dydx
k\int0-2 [y^2/2]x-1
=k \int0-2(x^2/2)-1/2dx
=k[x^3/6]0-2 = 8k/6 = 4k/3
Homework Statement
A plate occupies the triangular region with vertices (0,0), (0,1), (2,1). The mass density is given by the function \lambda(x,y) = x+y. Find the mass of the plate,
Homework Equations
The Attempt at a Solution
This is what I have:
M = \int0-2\intx-1 k(x+y)dydx
k\int0-2 [y^2/2]x-1
=k \int0-2(x^2/2)-1/2dx
=k[x^3/6]0-2 = 8k/6 = 4k/3