5. An open-topped box is to be built from a rectangular piece of cardboard that is 1 m by 1.5 m. Squares are to be cut from each corner, the sides folded up to form an open top box and then the seems are taped in place. What is the maximum diagram.) capacity of a box that is constructed in this way? (Clearly draw and label a 6 Part C: Harder Questions 1. A rectangle PQRS is inscribed in the region between the x-axis and the part of the graph of y = cos 4x in the domain - - Sx. Determine the coordinates of P for which the perimeter is PQRS is a maximum, S R Q 2. The line y = mx +b intersects the parabola x' = 4py at the points A and B. Find the coordinates of a point P on the arc AOB so that the triangle PAB has a maximum area. B