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

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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