2. A Norman window has the shape of a rectangle surmounted bv a semicircle. (Thus, the diameter ot the semicircle is equal to- the I..-..Iidth of the rectangle.) IF the perimeter of the window is 115 Ft, what is the area ol the window so that the greatest possible amount of light is admitted? Round vour answer to one decimal place. Step 1: Draw a picture if necessarv. Label anv variables in it. A picture is required tor this problem. Step 1: Write an Objective Equation with the object to be maximized or minimized on one side that relates the known quantities and the variables. Step 3: State anv constraint eq uations and solve them as needed. Step 4: Write the Dbjective Function as a function of one variable and state its domain. SimplifyI to make taking a derivative easier. Step S: Differentiate the Objective Function and find its critical values. Step 6-: Either test the endpoints and critical values [Extreme 'v'alue Theorem] or use the First Derivative Test or Second Derivative Test to verityI which value is the absolute min or absolute max. Step 1: Answer the ouestionts] being aslcecl and include appropriate units