The function described by f (x) = ln(x2 + 1) e0.4x cos x has an infinite number of

Chapter 2, Problem 23

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The function described by f (x) = ln(x2 + 1) e0.4x cos x has an infinite number of zeros. a. Determine, within 106, the only negative zero. b. Determine, within 106, the four smallest positive zeros. c. Determine a reasonable initial approximation to find the nth smallest positive zero of f . [Hint: Sketch an approximate graph of f .] d. Use part (c) to determine, within 106, the 25th smallest positive zero of f .

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