The function described by /(x) = ln(x2 + I) e {l4x costtx has an infinite number of

Chapter 2, Problem 17

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The function described by /(x) = ln(x2 + I) e {l4x costtx has an infinite number of zeros. a. Determine, within 10" 6 , the only negative zero. b. Determine, within 10^6 , the four smallest positive zeros. c. Determine a reasonable initial approximation to find the nth smallest positive zero of /. [Hint: Sketch an approximate graph of f.] d. Use part (c) to determine, within 10-6 , the 25th smallest positive zero of /.

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