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Math Help - approximate zero with Newton

  1. #1
    Member >_<SHY_GUY>_<'s Avatar
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    Question approximate zero with Newton

    Im stuck on this problem:

    5cosx-x=0; they ask to use a graphing utility to approximate the answer.
    Last edited by >_<SHY_GUY>_<; May 22nd 2008 at 07:13 PM. Reason: solved one of the problems
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  2. #2
    Eater of Worlds
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    You can approximate it by Newton's method. Graph it and see where it crosses the x-axis.
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  3. #3
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    Im stuck on this problem:

    5cosx-x=0; they ask to use a graphing utility to approximate the answer.
    Depending on your graphing utility the commands are different.

    Here is maple 11.

    You could also "guess" the x intercepts by looking at the graph

    I hope this helps.

    approximate zero with Newton-capture.jpg
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  4. #4
    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by TheEmptySet View Post
    Depending on your graphing utility the commands are different.

    Here is maple 11.

    You could also "guess" the x intercepts by looking at the graph

    I hope this helps.

    Click image for larger version. 

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    what if it is on the interval (0, 2pi]?
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  5. #5
    Behold, the power of SARDINES!
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    what if it is on the interval (0, 2pi]?

    The graph shows from [-2\pi,2\pi] so just ignore the part of the graph to the left of the y axis.

    So the only root would be

    x \approx 1.30644
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