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Math Help - NEwtons Method

  1. #1
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    NEwtons Method

    I need help with these two, I don't get it.

    1. Use Newton's method to find a zero of the function, f(x)=x^3-3 x+6, using x[0]=-1. Explain why the method fails. Fix it so that it does find a zero.

    2. In the figure, the length of the chord AB is 4 cm and the length of the arc AB is 5 cm. Find the central angle \[Theta], in radians, correct to 6 decimal places.

    Thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by swimmerxc View Post
    I need help with these two, I don't get it.

    1. Use Newton's method to find a zero of the function, f(x)=x^3-3 x+6, using x[0]=-1. Explain why the method fails. Fix it so that it does find a zero.
    f'(-1) = 0. this will result in a division by zero using Newton's method, so it will fail for the initial guess of x_0 = -1. to fix this, simply guess a new approximation. x_0 = -2 is a better one
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  3. #3
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    thanks i get the first one, but i forgot all my trig and have no idea how to do the second one
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