2) Let f(x)=2sin(x)x (a) Plot the function f(x) for x[1,3]. (b) Write an R function that implements
the bisection method. Your function needs to keep track of the sequence of vulues x 's ss the
method converges to a root. (c) Repeat (b) for Newton's method. (d) Find the root x4 of f(x) via
bisection using e=11014 (c) Find the root x of f(x) via Newton's using =11014. (f) Look at x4x
for all values of is For both the bisection and the Newton methods. What does this tell you about
the convergence rate?.
2) Let f(x)=2sin(x)x (a) Plot the function f(x) for x[1,3]. (b) Write.pdf
1. 2) Let f(x)=2sin(x)x (a) Plot the function f(x) for x[1,3]. (b) Write an R function that implements
the bisection method. Your function needs to keep track of the sequence of vulues x 's ss the
method converges to a root. (c) Repeat (b) for Newton's method. (d) Find the root x4 of f(x) via
bisection using e=11014 (c) Find the root x of f(x) via Newton's using =11014. (f) Look at x4x
for all values of is For both the bisection and the Newton methods. What does this tell you about
the convergence rate?
![2) Let f(x)=2sin(x)x (a) Plot the function f(x) for x[1,3]. (b) Write an R function that implements
the bisection method. Your function needs to keep track of the sequence of vulues x 's ss the
method converges to a root. (c) Repeat (b) for Newton's method. (d) Find the root x4 of f(x) via
bisection using e=11014 (c) Find the root x of f(x) via Newton's using =11014. (f) Look at x4x
for all values of is For both the bisection and the Newton methods. What does this tell you about
the convergence rate?](https://image.slidesharecdn.com/2letfx2sinxxaplotthefunctionfxforx13-230330051800-158c56ff/85/2-Let-f-x-2sin-x-x-a-Plot-the-function-f-x-for-x-1-3-b-Write-pdf-1-320.jpg)
