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6. A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is

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6. 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. How should the wire be cut so that the total area enclosed is (a) a maximum? (b) a minimum? Hint 1: Use the first derivative test to figure out if your answer is a min or max. Hint 2: Think about whether you even need to cut the wire... (A 2T 3)

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