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SOLVED:You will use a CAS to explore the osculating circle at a point P on a plane curve where κ≠0 . Use a CAS to perform the following steps: a. Plot the plane curve given in parametric or function form over the specified interval to see what it looks like. b. Calculate the curvature κof the curve at the given value t0 using the appropriate formula from Exercise 5 or 6 . Use the parametrization x=t and y=f(t) if the curve is given as a function y=f(x) . c. Find the unit normal vector N at t0 .
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