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4. A right triangle has one vertex at the origin and one vertex on the curve y = COSX for 0.25 S X S 1.

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4. A right triangle has one vertex at the origin and one vertex on the curve y = COSX for 0.25 S X S 1. One of the two perpendicular sides of the triangle lies on the x-axis, and the other side is parallel to the y-axis. Find the maximum and minimum areas for such a triangle. Justify your

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