1. Let T be the triangular region in the x y-plane with vertices : (0,0), (m,0), (m, n) ,( 0 , 0 ) , ( m , 0 ) , ( m , n ) , where LaTeX: m, nm , n are positive constants. Use a double integral in polar coordinates to calculate the average value of the LaTeX: xx-coordinate, taken over all points in LaTeX: \mathcal T T. You may assume the formula for the area of the triangle.