WORK OUT!
Use Newton's method to solve cos(3x)-2x+1=0. Show the values of each iteration until you have reached the " best" solution your calculator can display
Hi
Let f(x) = cos(3x)-2x+1 with a representative curve Cf
Start from say
Then is the abscissa of the intersection point between the x axis and the tangent to the curve Cf at the point whose abscissa is
f'(x) = -3 sin(3x)-2
The equation of the tangent to Cf at the point of abscissa is
is given by
Start for example from and then use a calculator to iterate and find the best estimation of the solution