1. The sum of two positive numbers is 200. What is the maximum possible value for their product? 2. What is the area of the largest rectangle in the first quadrant that can fit with one edge on the r-axis, one edge on the y-axis and touching the line y 2-z at one point? 3. Show that the point between two posts of fixed lengths A and B which minimizes the distance a + B has the property that = -

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