A rectangle has one side on the x-axis and two corners on


Question: 1. A rectangle has one side on the x-axis and two corners on the top half of the circle of radius 1 centered at the origin. Find the maximum area of such a rectangle. What are the coordinates of its vertices?

2. Find the coordinates of the point on the parabola y = x2 which is closest to the point (3,0).

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Mathematics: A rectangle has one side on the x-axis and two corners on
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