This does not converge very well using an initial approximation of 1, but it does at 2.
Newton's formula: formula:
xn+1=x − f(x)/f′(x)
You have x− 5sin(x)−x/5cos(x)−1
Use x=1 first off and then plug in the successive answers you get each time around.
1− 5sin(1)−1/5cos(1)−1 =−0.885
Now plug the -.885 in:
You keep doing that until it converges to a solution.
It should converge to ±2.5957, but using an initial approximation of 1 it will not. Use 2 and it will.
Here is an animated graph showing what it does using x=1. The first graph is using x=2. See how it converges compared to the second one, which uses x=1?.
on Saturday the students will reach their goal.
i hope this helps you!
26/105=.247619 and a whole bunch of other numbers. Simplified to the nearest 100th, it's .25. Switch it to percent, the answer is about 25%
constant = 1/7
The equation for direct variation is
y = kx
y = 1/7 x is in this form with the constant of variation being 1/7