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slope of circle inscribed in the parabola?
suppose that a circle of radius r and center(0,c) is inscribed in the parabola y= x2.At the point of tangency, the slopes must be the same. Find the slope of the circle implicitly and show that at the point of tangency, y= c-1/2. Then use the equestions of the circle and parabola to show that c=r2 1/4
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