Consider the given function and the given interval. f(x) = (x − 4)2, [3, 6]
(a) Find the average value fave of f on the given interval. fave =
(b) Find c such that fave = f(c). c = (smaller value) c = (larger value)

f average = 1

smaller value c = 3

larger value c = 5

Step-by-step explanation:

Functions can be represented using equations.

The function is given as:

(a) The average value

This is calculated as:

So, we have:

Calculate f(6) and f(3)

So, we have:

Hence, the average value of the function is 1

Substitute c for x in:

So, we have:

Take square roots of both sides

Add 4 to both sides

Split

Hence, the smaller and larger values of c are: 3 and 5

Read more about functions at:

link

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.

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844