Question
Transcribed Text
1. For f(x) = sinz, approximate f'(Io) where To = 1.2 using the forward difference
approximation /(sot))//(zo) Take h = 10", n = -20:0.5:0, use logging to plot h vs ab-
solute of round off error and h vs discretization error(
on the same graph.
2. Write a MATLAB code for Bisection Method to solve a nonlinear equation. Your
function function[u] = bisect_method(func, a, b, fa, fb, tol) takes the inputs:
a function, endpoints, values of function at these endpoints and tolerance. Use your code
to solve 13 - 30x2 +2552 on [0. 20]. Display interval and function values at each iteration
in columns.
Solution Preview
This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.
f=@(x)sin(x)x0=1.2;
n=-20:0.5:0;
h=10.^n;
forward_diffs=(f(x0+h)-f(x0))./h;
figure;
loglog(h,abs(cos(x0)-forward_diffs),h,abs(.5*sin(x0)./h),'Linewidth',2);
xlabel('log h');
ylabel('log error');
legend('Absolute Error','Discretization Error','Location', 'best');
title('Forward Difference Derivative Errors');...
Return to homework library