Secant Method
Construct a
computer program that uses the Secant Method to solve the problem:
f(x) = x5
- 0.2 sin
(x) - 10.0 = 0
Starting with the
initial guesses of x = 1.0 and x = 2.0, obtain an
approximation to x such that |f(x)| < 0.000000001.
On your output, show the iteration number
(n), the approximate value of x on the n-th iteration (xn),
and the value of f(xn).
Show the values to 9 or 10 digits. (True answer is about
1.591181352398073 ).