The path of a baseball thrown at an angle of 40 degrees can be modeled by y=-0.05x^2+3.2x+8y=−0.05x 2 +3.2x+8 where x is the horizontal distance in feet from the release point and y is the corresponding height, in feet. Calculate the average rate of change of the height over the interval 8\le x\le208≤x≤20.

The average rate of change of the height

Step-by-step explanation:

The average rate of change of a function is given by:

Where:

f(x) is the funtion, in our case

f(b) is the function evaluated in b, when b = 20

f(a) is the funtion evaluated in a, when a = 8

Let's find f(a) and f(b):

Therefore, using the average rate of change equation.

I hope it helps you!

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.