1) Find f(x) by solving the initial value problem. f'(x) = e x − 2x; f (0) = 2
2) A rectangular box is to have a square base and avolume of 20f t^3 . If the material for the base costs 30¢/f t^2 ,the material for the sides costs 10¢/ft^2 , and the material forthe top costs 20¢/f t^2 , determine the dimensions of the box thatcan be constructed at minimum cost.
