Assuming that the equation defines x and y implicitly as differentiable functions xequals=f(t), yequals=g(t), find the slope of the curve xequals=f(t), yequals=g(t) at the given value of t. x^3+3t^2 =13, 2y^3−3t^2= 42, t=2. the slope of the curve at t=2 is what?

Step-by-step explanation:

Given that x and y are implicitly as differentiable functions.

xequals=f(t), yequals=g(t),

we have to get value of x and y at t =2

we have to find the slope of the curve at t=2

i.e. we have to find

= at t=2

Substitute the values of x and y and also t in these equations to get

Slope =

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.