Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we can write that as A (r) - 2 mr2 + 8 mr. What is the domain of A (r)? In other words, for which values of r is A (r) defined? Part b: Continue to assume that the height of your cylinder is 4 inches. Write the radius r as a function of A. This is the inverse function to A (r), ie., to turn A as a function of r into r as a function of A. T (A) - 0 03 Hints: . To calculate an inverse function, you need to solve for r. Here, you would start with A - 2 mr2 + 8 mr. This equation is the same as 2 mr2 + 8 ar - A =0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. You will want to keep A as a variable when you plug the values into the quadratic formula. . If you want to type in 3 71 1 . in Mobius, in text mode you can type in (3*pi+1) (x-1). There is more information in the Introduction to Mobius unit. Part c: If the surface area is 275 square inches, then what is the radius r? In other words, evaluate 7 (275). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as v 17.3. you could Use a spreadsheet such as Microsoft Excel or OpenOffice Cale and type in =sqit(17.3) Use a browser to connect to the Internet and type in sort( 17.3) into a search field