Question: Consider the equation 9 x sin x = 2, or in the notation above 9 x sin x - 2 = 0. For this situation,

Consider the equation 9xsinx= 2, or in the notation above 9xsinx- 2 = 0.

  1. For this situation, what isf'(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 ofx= 5, what solution does Newton's method converge to?(Run the method until thexvalues don't change in the first five decimal places.)
  4. There are seven solutions to 9xsinx= 2 betweenx= 0 andx= 20 (it is at heart a sine wave, after all).By varying your initial guess, find them all to within five decimal places.

I have six solutions my question is 1 and 11 the same when one is positive and 11 is negative

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