Answer:

**This does not converge very well using an initial approximation of 1, but it does at 2.**

Step-by-step explanation:

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:

**−.885− 5sin(−.885)−(−.885)/5cos(−.885)−1**

**−.885− 5sin(−.885)−(−.885)/5cos(−.885)−1=0.49264**

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?.

**Answer:**

on Saturday the students will reach their goal.

**explanation:**

i hope this helps you!

**Answer:**

About 25%

**Step-by-step explanation:**

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%

**Answer:**

direct variation

constant = 1/7

**Step-by-step explanation:**

The equation for direct variation is

y = kx

y = 1/7 x is in this form with the constant of variation being 1/7

**Answer:**

2

**Step-by-step explanation:**