Write down the iterated integral which expresses the surface area of z = y cos³ x over the triangle with vertices (-1, 1), (1, 1), (0, 2): a = b = f(y) = = g(y) = h(x, y) = rg(y) √h(x, y) dzdy f(y)

A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.