An industrial tool is made from alaminar material occupyingthe region between thestraight lines y =2, y=1 2x and y =3−x. The density of thematerial varies and is given by thefunction σ(1 + x), where x is the horizontal distancefrom the y-axis and σ is aconstant. The mass of the tool andthe position of its centre of mass are sought. (a) Sketch the region, and ﬁnd the coordinates of the vertices. (b) Calculate the mass of the tool in terms of σ. (c)Find the coordinates of the centre of mass of the tool. a) The vertices are the points (1,2), (2,1) and (4,2) b) The mass M is the sum of these double integrals When you do all the calculations M=4δ c) Now I'm confused on how I find the coordinates of the centre of mass. Since the coordinates are But I have two double integrals, then do I need to sum both of the X double integrals to find the X-coordinate?