Quiz: Lesson 2- Your Most E x + thinkpython.pdf X @ Reading and Resources - CY X O' CHAPTER 1 Information Sys X @ Resources: Module Two - M X m Southern New Hampshire L X + V X -> C a snhu.mobius.cloud/modules/test. Test?testld=99958 Apps M Gmail YouTube Maps @ Login - Southern N... Home Onlinedegree C Coursera Plus Reading list The height of the cylinder is 8 inches. We'll be analyzing the surface area of a round cylinder - in other words the amount of material needed to "make a can". A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is 1 = 2xr2 + 2wrh (it's two circles for the top and bottom plus a rolled up rectangle for the side) - radius Areas = mr Circumference 2x1 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 wr2 + 16 wr. 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 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 x2+ 16 wr. This equation is the same as 2 x- + 16 mr - 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 Pain 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 125 square inches, then what is the radius r? In other words, evaluate " (125). Round your answer to 2 decimal places Hint: To compute a numeric quare root such as v17.3, you could . Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =aqrt(17.3) Use a browser to connect to the Internet and type in sqrt(17.3) into a search field Use a calculator The radius is Number inches if the surface area is 125 square inches. Type here to search O a 20 12:24 PM 53OF Sunny 1/13/2022