Question 2 - 10 marks You should be able to answer this question after studying Unit 7. Alisha wants to build a frame for a stained glass window. The shape of the window is a rectangle with a semicircle on top whose diameter is the same width as the rectangle, as shown below. Alisha has 4m of framing material. She wants to maximise the total area A of the window. h h W (a) Write down an equation for the total length of the framing material in terms of the height h and width w. Use this equation to express h in terms of w. (b) Show that the total area A, in terms of w, is A = 2w - TT + 4 8 (c) Use differentiation to determine the width w that gives the maximum area A of the window, and show that this is a maximum. What is the maximum area of the window