Question: MTH220 Assignments 4.3 Assignment: Engineering Applied Exercise #3 USING EXCEL SPREADSHEET Consider the equation x sin x = 5, or in the notation above x

  • MTH220
  • Assignments
  • 4.3 Assignment: Engineering Applied Exercise #3
  • USING EXCEL SPREADSHEET

Consider the equation x sin x = 5, or in the notation above x sin x - 5 = 0.

  1. For this situation, what is f'(x)?
  2. Set up an Excel spreadsheet, or a program in your favorite programming language, to find solutions to the above equation. (Submit this file along with your answers to the questions.)
  3. Starting with a guess of x = 5, what solution does Newton's method converge to? (Run the method until the x values don't change in the first five decimal places.)
  4. There are five solutions to x sin x = 5 between x = 0 and x = 20 (it is at heart a sine wave, after all). By varying your initial guess, find them all to within five decimal places.

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