Spraying a piece of pottery with cobalt will result in a blue color when the piece is fired. The shade of blue is determined by the density of cobalt; the greater the density of the cobalt, the darker the blue. You can get gradations of blue by applying cobalt glaze with a spray gun and varying the density of the application. Makoto Yabe and Wasma'a Chorbachi are professional potters at the Radcliffe Pottery Studio on Western Avenue, and the next four problems are about glazing pieces of pottery shades of blue. 2. Makoto has made a rectangular sushi platter from a slab of clay 14 inches by 6 inches. He applies cobalt so that the density of the application increases with the distance from one of the long sides of the platter. The density of cobalt glaze is given by p(a) mg/square inch where x is the distance (in inches) from one long side of the sushi platter. (a) Write a general Riemann sum (i.e., a Riemann sum with n terms) that approximates the amount of cobalt Makoto used. (b) Write an integral in terms of p(x) that gives the exact amount of cobalt used