Question
USE PYTHON TO SOLVE THE PROBLEM The curvature of a function h(x) at a point is the reciprocal of the radius of the circle that
USE PYTHON TO SOLVE THE PROBLEM The curvature of a function h(x) at a point is the reciprocal of the radius of the circle that best approximates the shape of the function at that point. It is given by the following formula: = (|h (x)| ) / (1 + [h (x)]^2)^ 3/2 Find the curvature, in exact and approximate form, of the following functions at the given points. (Remember that you can use Rational(3,2) to get the exact value of 3/2 . Just dividing 3 by 2 gives a floating point.) (a) h(x) = x^2 + 3x + 5 at x = 2 (b) h(x) = tan(x) at x = /3 (c) h(x) = 7x 1 at x = 5 (d) h(x) = (25 x^ 2) at x = 1 (e) In a print statement, give a geometric relationship between the answers to (c) and (d) and characteristics of those curves.
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