Investigation Consider the function (a) Use a computer algebra system to find the

Chapter 12, Problem 69

(choose chapter or problem)

Investigation Consider the function (a) Use a computer algebra system to find the curvature of the curve as a function of (b) Use the result of part (a) to find the circles of curvature to the graph of when and Use a computer algebra system to graph the function and the two circles of curvature. (c) Graph the function and compare it with the graph of For example, do the extrema of and occur at the same critical numbers? Explain your reasoning.

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