Plane CurvesA formula for the curvature of the graph of a
Chapter 13, Problem 5E(choose chapter or problem)
Problem 5E
Plane Curves
A formula for the curvature of the graph of a function in the xy -plane
a. The graph y = ƒ(x) in the xy-plane automatically has the parametrization x = x, y = ƒ(x) and the vector formula Use this formula to show that if ƒ is a twice-differentiable function of x, then
b. Use the formula for in part (a) to find the curvature of Compare your answer with the answer in Exercise 1.
c. Show that the curvature is zero at a point of inflection.
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