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Show all your work, write down your questions if any, and be sure to complete the worksheet by the end of the class period.

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Show all your work, write down your questions if any, and be sure to complete the worksheet by the end of the class period. Consider the graph of the function y = x. (i) Find the equation of the osculating circle to the curve at x=0. (ii) Find the curve that contains the centers of all of the osculating circles to the curve.

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