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Optimization: Problem 1 Previous Problem Problem List Next Problem (2 points) A wire 9 meters long is cut into two pieces. One piece is bent

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Optimization: Problem 1 Previous Problem Problem List Next Problem (2 points) A wire 9 meters long is cut into two pieces. One piece is bent into a equilateral triangle for a frame for a stained glass ornament, while the other piece is bent into a circle for a TV antenna. To reduce storage space, where should the wire be cut to minimize the total area of both figures? Give the length of wire used for each: For the equilateral triangle: m For the circle: m Where should the wire be cut to maximize the total area? Again, give the length of wire used for each: For the equilateral triangle: m For the circle: mOptimization: Problem 2 Previous Problem Problem List Next Problem (1 point) A cylinder is inscribed in a right circular cone of height 2 and radius (at the base) equal to 4. What are the dimensions of such a cylinder which has maximum volume? Radius = Height =

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