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Please provide a source code that can be copied into R programming.
An example code is provided below, please use that as a reference.
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- Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = eV7 (g(x), f(u)) =Find the average value of f(x) = x? /80+ x° on the interval [0,4]. favg = Report all answers accurate to 5 decimal places.Use differentials to approximate the increase in the area of a soap bubble when its volume increases from 36 cm³ to 37 cm³.
- Use a total differential to approximate the change in the values of f from P to Q. Compare your estimate with the actual change in f.a red coin as a 1 on one side and a 3 on the other. a blue coin has a 0 and 1. let X represent the total of both coins ,Y= number flipped on the blue coin. find(x,y) draw the pdf find fx(X) and fy(Y)Determine the function y = eax + b that best fit the datax =(3, 2, 1, 0)T,y =(µ, 1, e,1/e)T