DISCRETE MATHS MATLAB Consider the function f(x) = 0.94-1.5x³-²+x.(a) Use MATLAB (or octave) to plot f(x) for x in the interval [-1,2].(b) Use the fzero command to find all the zeros of f in [-1,2].(c) Use the command fminbnd to find the coordinates (x, f(x)) of each of the localmaximum and minimum values of f for z in [-1,2].

Answered: Consider the function f(x) = 0.92¹ -…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

DISCRETE MATHS MATLAB

Consider the function f(x) = 0.94-1.5x³-²+x.
(a) Use MATLAB (or octave) to plot f(x) for x in the interval [-1,2].
(b) Use the fzero command to find all the zeros of f in [-1,2].
(c) Use the command fminbnd to find the coordinates (x, f(x)) of each of the local
maximum and minimum values of f for z in [-1,2].

Expert Solution

Step 1: Code to plot the function

a) Plotting $f (x) = 0.9 x^{2} - 1.5 x^{3} + x$ .

To plot the function $f (x) = 0.9 x^{2} - 1.5 x^{3} + x$ in the interval $[- 1, 2]$ , we can use following code:

1x = linspace(-1, 2, 500);  % Create an array of 500 points between -1 and 2
2f_x = 0.9*x.^4 - 1.5*x.^3 + x;  % Evaluate the function at each point
3
4figure;  % Create a new figure
5plot(x, f_x);  % Plot the function
6xlabel('x');  % Label the x-axis
7ylabel('f(x)');  % Label the y-axis
8title('Plot of f(x) = 0.9x^4 - 1.5x^3 + x');  % Add a title
9grid on;  % Add a grid for better visualization
10