6. R is the trapezoidal region determined by the lines y=0,y=1,y=x and y=−x+3;ρ(x,y)=2x+y. 11. R is the region bounded by \(y = x, \space y = ...6. R is the trapezoidal region determined by the lines y=0,y=1,y=x and y=−x+3;ρ(x,y)=2x+y. 11. R is the region bounded by y=x,y=−x,y=x+2,y=−x+2;ρ(x,y)=1. 30. R is the trapezoidal region determined by the lines y=0,y=1,y=x, and y = -x + 3; \space \rho (x,y) = 2x + y\).