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Find the area of the largest rectangle with one corner at the origin, the opposite corner...

Find the area of the largest rectangle with one corner at the origin, the opposite corner in the first quadrant on the graph of the parabola f(x)=600−8x2, and sides parallel to the axes. The maximum possible area is ___.

Find the area of the largest rectangle with one corner at the origin, the opposite corner in the first quadrant on the graph of the line f(x)=12−2x, and sides parallel to the axes. The maximum possible area is ___

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