A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex of the rectangle in the first quadrant, what is y in terms of x?   y = square root of ?-4x^2   What is the area of the rectangle in terms of x? A(x) = ? square root of ? -4x^2   What value for x maximizes the area? x= ?/ square root of 2   What is the maximum area? maximum area =?

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