Find the mass of the lamina that occupies the region D and has the given density function ?. D is the triangular region with vertices (0, 0), (2, 1), (0, 3); ?(x, y) = 3(x + y)

Respuesta :

The mass of the lamina is given by

[tex]\displaystyle\iint_Df(x,y)\,\mathrm dA=\int_{x=0}^{x=2}\int_{y=x/2}^{y=3-x}3(x+y)\,\mathrm dy\,\mathrm dx=18[/tex]
Q&A Education