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

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2. A piece of wire 10 meters 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? :62 2 3. Find the area of the largest rectangle that can be inscribed in the ellipse + y_ = 1. a2 b2

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