Newton-raphson method
Please apply the Newton-Raphson method to obtain an iterative procedure for finding a^(1/3), for any real a. For which x^0 does the method converge?
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Describe that the system has two equilibriam and find the linearizations of this system around those points. Calculate and plot the solution of both the linear and nonlinear system.
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Determine a number alpha (which depends upon the data you observe) so that owners can (truthfully) say that "99% of our donuts have less than the grams of fat".
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