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19. A piece of wire, 100 cm long, is cut into two pieces. One piece is bent to form a square, and the other piece

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19. A piece of wire, 100 cm long, is cut into two pieces. One piece is bent to form a square, and the other piece is bent to form a circle. Determine how the wire should be cut so that the total area enclosed is a. a maximum b. a minimum 22. A rectangle lies in the first quadrant, with one vertex at the origin and two of the sides along the coordinate axes. If the fourth vertex lies on the line defined by x + 2y - 10 = 0, find the rectangle with the maximum area

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