Find the linearization L(x) of the function at a. f(x) = sqrt x , a = 4
L(x) = ?

Step-by-step explanation:

Linearization

It consists in finding a linear approximate function around certain point x=a of a non linear function. The equation used to linearize a function f is given by

Where f'(a) is the first derivative of f at x=a

The questions gives us this function

And the point a=4. Let's compute f(a)

We are using only the positive root. Now we compute the derivative

Replacing the values into the equation

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.