Solve the problem.
-Find the mass of a thin triangular plate bounded by the coordinate axes and the line $x + y = 2$ if $\delta ( x , y ) = x + y$.
A) $\frac { 16 } { 3 }$
B) $\frac { 8 } { 3 }$
C) $\frac { 32 } { 3 }$
D) $\frac { 4 } { 3 }$

Question

Quizplus · Accepted Answer

The mass is found by integrating the density function over the region. The region is a right triangle with vertices at (0,0), (2,0), and (0,2). The integral is $\int_{0}^{2} \int_{0}^{2-x} (x+y) \, dy \, dx$, which evaluates to $\frac{8}{3}$.

Solve the Problem x+y=2x + y = 2x+y=2 If δ(x,y)=x+y\delta ( x , y ) = x + yδ(x,y)=x+y

Solve the Problem $x + y = 2$ If $\delta ( x , y ) = x + y$