1) A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 40 ft, find the value ofxso that the greatest possible amount of light is admitted. (Give your answer correct to two decimal places.)

Derive and set to 0:

x = 32.93

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2) A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.)

Derive and set to 0:

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