Hi, this is my first time here so hello! So im working on some questions my teacher gave to me in my class, and im having quite difficulty getting started on them, if anyone could help, that be great, thanks!
2. The first application of Newton’s method is to solve the equation
x3 − 4x2 − 1 = 0.
(a) Create the expression
x3−4x3−1 (assign it to a name) and then graph it. Notice
that the above equation has only one solution.
(b) Use Newton’s Method with
x0 = 5. (Experiment with different numbers of
iterations - how many are needed so that the results no longer change to the
precision displayed on the screen?) What solution did you find?
(c) Re-invoke the
NewtonsMethod command, but instead of output=sequence, use the option
output=plot to plot the first three iterations (i.e. use iterations=3).