An important question about many functions concerns the existence and location of fixed points.  A fixed point of f is a value of x that satisfies the equation f(x) = x.  In other words, it corresponds to a point at which the graph of f intersections the line y = x.  Find all the fixed points of the following function.  Use preliminary analysis and graphing to determine good initial approximations. f(x) = 17x cos x on [0,2] Use comma to separate answers as needed. Round to six decimal places as needed.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An important question about many functions concerns the existence and location of fixed points.  A fixed point of f is a value of x that satisfies the equation f(x) = x.  In other words, it corresponds to a point at which the graph of f intersections the line y = x.  Find all the fixed points of the following function.  Use preliminary analysis and graphing to determine good initial approximations.

f(x) = 17x cos x on [0,2]

Use comma to separate answers as needed. Round to six decimal places as needed.

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