Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin x = x

Step-by-step explanation:

Required

The positive root of

Equate to 0

So, we have our function to be:

Differentiate the above function:

Using Newton's method of approximation, we have:

Plot the graph of to get --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

So, we have:

The process will be repeated until the digit in the 6th decimal place remains unchanged

Hence:

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are