The equations of the osculating circles of the parabola y = 1 2 x 2 at the points ( 0 , 0 ) and ( 1 , 1 2 ) and then graph the parabola and both osculating circles on the common screen.

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The equations of the osculating circles of the parabola y=12x2 at the points (0,0) and (1,12) and then graph the parabola and both osculating circles on the common screen.

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