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:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this