Question

for math methods for engineers

Q2) Find the answer to the below equation, tolerance < 0.001 < 0.001), start with an initial guess of 0.5. You need to draw the curves and show why 0.5 is a good guess. sin (x) - e" -o

Answer 1

clc;
clear all;
format long
f=@(x) sin(x)-exp(x) ;
f1=@(x) cos(x)-exp(x);
tol=0.001;
x=0.5;
n=1;
while(n<100)
  
x1=x-(f(x)/f1(x));
x=x1;
Err=f(x);
if abs(Err)<tol
break
end
end
Solution=x
Error=Err

OUTPUT

Solution = -3.183021980612657

Error = -4.269720879733485e-005