Hints: 0 To calculate an inverse function, you need to solve for 1". Here you would start with A = 2 7TT2 + 12 71'7\". This equation is the same as 2 7W2 + 12 WP A = 0 which is a quadratic equation in the variable 7', and you can solve that using the quadratic formula. . - 3 7r+1 If you want to type 1n 513+1 more information in the Introduction to Mobius unit. in Mobius, in text mode you can type in (3*pi+1)/(X+l). There is Part c: If the surface area is 200 square inches, then what is the rardius 7"? In other words, evaluate 'I\" (200). Round your answer to 2 decimal places. Hint: To compute a numeric square root such as V 17.3, you could 0 Use a spreadsheet such as Microsoft Excel or OpenOfflce Calc and type in =sqrt(l7.3) 0 Use a browser to connect to the Internet and type in sqrt(l7.3) into a search eld 0 Use a calculator The radius is Number inches if the surface area is 200 square inches. 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 A : 27172 | 27r7'h (it's two circles for the top and bottom plus a rolled up rectangle for the side). rI= radius . . Q . . . . . Areas = TC r2 h = height .: 5 Circumference 2m Part a: Assume that the height of your cylinder is 6 inches. Consider A as a function of 7", so we can write that as A (7\") : 2 m2 + 12 7m What is the domain of A (r)? In other words, for which values of r is A (7") dened? Part b: Continue to assume that the height of your cylinder is 6 inches. Write the radius 'r as a function of A. This is the inverse function to A (7"), Le to turn A as a function of 7" into. 7" as a function of A. HA): EnEi