The area of a circle with radius r is increasing at a rate of 17 square inches per minute. nd the rate at which the radius is increasing when the radius Is 4 inches. (Ruund yuur answer tu three decimal piates.) When the radius is 4 inches, the radius is increasing at a rate M: Inches per minute. Hit-[he Brilliant Butler Company Wishes to design a serving tray that Will contain aps as shown in the figure below, where a : 7 and b : 15. the most uids in Case of a spill. The serving tray is designed from a [1 inches a inches (a) Write a function V(x) that gives the volume of the sewing tray in terms of is height x. Write an open interval for the domain of the function. (Enter your answer using interval notation.) (b) Delennine the height, length, and Width of the tray that maximizes the Volume. height |: in length |: in (longer side) width |: in (shorter side) (c) What is the maximum volume? (Round your answer to two decimal plaoes.) , by 15*lliCl'i piece of tin by cutting identical squares from the oorners and folding up the Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 81 fta. If Hie material for die base costs $0.34fft2, Hie material for the sides costs $0.091ft2, and the material for the top costs $0.20fft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the gure below.)