Mak

5. (Weekly Problem #2 is now due. Here it is:} Makoto decides to make one more rectangular sushi platter measuring 14 inches by 5 inches (see #2 and #3 on Problem Set 02). He again makes a 14 inch deep blue line parallel to the long sides of the platter, but instead of putting the deep blue line on an edge or in the center, he places it. % of the way across the platter {so that it is 2 inches from one long side and 4 inches from the other long side). The intensity of blue fades with distance from this deep blue line. The density of cobalt glaze is given by 19(3) = 1|] z mgfsquare inch, where a: is the distance (in inches) from the deep blue line on the sushi platter. {a} Write an integral [or sum or di'erence of integrals) that gives the exact amount of cobalt used for the platter. {b} Ehraluate your integral to show that the platter uses 700 mg of cobalt