Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as A (r) = 2 mr2 + 16 mr. What is the domain of A (r)? In other words, for which values of T is A (r) defined? Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A (r), i.e to turn A as a function of r into. r as a function of A. sin (a) (A) = Hints: . To calculate an inverse function, you need to solve for r. Here you would start with A - 2 mr2 + 16 mr. This equation is the same as 2 mr + 16 ar - A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. If you want to type in 3 7+1 x41 in Mobius, in text mode you can type in (3*pit1)/(x+1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 250 square inches, then what is the rardius r? In other words, evaluate r (250). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as v17.3, you could .Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) . Use a browser to connect to the Internet and type in sqit(17.3) into a search field Use a calculator The radius is Number inches if the surface area is 250 square inches