A rectangle is inscribed in the first quadrant region bounded by the r-axis, the y-axis, and the parabola y9 - as shown below. That is, the base of the rectangle is along the r-axis, its lower left corner is at the origin, and its upper right corner is on the parabola y 9 - x2. Find the length and width of the rectangle of greatest perimeter. y 9 y= 9 x2 (x, y)

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