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:

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

146%

step-by-step explanation: