Part a: Assume that the height of your cylinder is 8 inches. Consider A as a...

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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 + 16 r. 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. T(A) = Hints: . To calculate an inverse function, you need to solve for r. Here you would start with A = 2 + 16 r. This equation is the same as 2 + 16 TT - A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. 3 T+1 If you want to type in in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is x+1 more information in the Introduction to Mobius unit. LE Part c: If the surface area is 250 square inches, then what is the rardius r? In other words, evaluate T (250). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as 17.3, you could Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) 15770 Use a browser to connect to the Internet and type in sqrt(17.3) into a search field Use a calculator C The radius is Number inches if the surface area is 250 square inches. 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 + 16 r. 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. T(A) = Hints: . To calculate an inverse function, you need to solve for r. Here you would start with A = 2 + 16 r. This equation is the same as 2 + 16 TT - A = 0 which is a quadratic equation in the variable r, and you can solve that using the quadratic formula. 3 T+1 If you want to type in in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is x+1 more information in the Introduction to Mobius unit. LE Part c: If the surface area is 250 square inches, then what is the rardius r? In other words, evaluate T (250). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as 17.3, you could Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17.3) 15770 Use a browser to connect to the Internet and type in sqrt(17.3) into a search field Use a calculator C The radius is Number inches if the surface area is 250 square inches.