50 40 30 20 10 10 10 20 30 40 50 60 Joe is a lifeguard and spots a drowning child 60 meters along the shore and 50 meters from the shore to the child. He runs along the shore for a while and then jumps into the water and swims from there directly to the child. Joe can run at a rate of 4 meters per second and swim at a rate of 1.2 meters per second. How far along the shore should Joe run before jumping into the water in order to save the child? Round your answer to 2 decimal places. A box with a lid is to be made from a rectangular piece of cardboard 15 cm by 19 cm, as shown in the figure below. Two equal squares of side I are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form the box with a lid. Find I such that the volume of the box is a maximum. The equation that gives the volume of the box in terms of the length of I is: V = r(9.5 - I) (15 - 2x) Lid 15 cm .= 19 CM -= => > a. What is the domain of the function in context of the problem? b. Find the length of the equal squares that are removed. Round answer to 2 decimal places. I = cm C. Find the volume of the box. Round answer to 2 decimal places. V = cm