Can you show what you have tried already? Have you tried to make a graph? What about the table?
I need help revising this. Not sure what it's called and would love help on solving and naming what it is so that i can google/youtube about it and start revising (hopefully).
Consider the equation x^{3} - 3x^{2} + 2 = 0.
- By presenting a suitable graph, state how many real solutions there are to this equation, and define them very roughly from the graph (to about 1 dp).
- Perform 5 iterations of the Newton-Raphson method by hand, to find the solution of the above equation x^{3} - 3x^{2} + 2 = 0 starting from the point x_{0}. Complete the following table, using 4 decimal places of accuracy for each entry in the table.
(n) iterations x_{n} f(x_{n}) (df(x_{n})) / dx ( |x_{n} - x_{n-1 |} ) / x_{n} 0 2.5 1 2 3 4 5
Do the first as instructed, i.e. plot points on an x-y grid for a range of values of x, (where the corresponding value of y for each point is the output from the equation for that x value), join the points in a continuous curve and see where it crosses the x-axis (because the output is zero).
Then google 'Newton-Raphson' for the formula you need for the second exercise.
PS: missed Siron's post.
I think i need to take a step back and learn a little basic math... Learning how to plot and other things as i go along. I have plenty of time to work on this and plenty of time on my hands as well... So hopefully all goes well.
Thanks a lot for the help i'll be back to this question once i've built a bit more foundation over the next day or so.