Plot -3x³+ 25sin(3.14x/4-15.5/4) + 7.43 for -2 < x < 2.5 to determine its roots ....

Plot -3x³+ 25sin(3.14x/4-15.5/4) + 7.43 for -2 < x < 2.5 to determine its roots . The number of roots is: using MATLAB

Expert Solution

MATLAB CODE (command window):

clear all
clc
% Solving Using MATLAB:

syms x % First we need to define symbolic toolbox for variable x
f(x)=(-3*x^3)+25*sin(3.14*0.25*x-0.25*15.5)+7.43

% Now plotting for range -2 to 2.5
ezplot(f,[-2 2.5])
grid on

% Now as we can clearly observe the plot
% the zero crossing is at x = 1.06 , so
% this value of x is a root of f(x) expression.

% Hence there will be one root for range -2 to 2.5 and i.e at x = 1.06

% ALSO: Finding overall roots
Fx_roots=solve(f,x)

MATLAB Screenshots:

Manojponduru answered 2 months ago

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Question

Plot -3x³+ 25sin(3.14x/4-15.5/4) + 7.43 for -2 < x < 2.5 to determine its roots ....

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