(a) A Norman window has the outline of a semicircle on top of a rectangle. Given that the perimeter of the window is 8+ 2x
(a) A Norman window has the outline of a semicircle on top of a rectangle. Given that the perimeter of the window is 8+ 2x feet. Show that the area of the window, A, is given by A = (1 + 4)x-| ~+ = x2 8 [5 marks] ii. Find the value of x such that the area of the window is a maximum. [5 marks]
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