A 27-inch TV has a screen that measures 27 inches on its diagonal. Complete the

Chapter 11, Problem 11

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A 27-inch TV has a screen that measures 27 inches on its diagonal. Complete the following steps and use the Pythagorean Theorem to find the dimensions of the screen with maximum area for a 27-inch TV. a. Enter the positive integers from 1 to 26 into list L1 on your calculator to represent the possible screen widths. b. Imagine a screen 1 inch wide. Calculate the length of a 27-inch TV screen with a width of 1 inch, and enter your answer into the first row of list L2. c. Define list L2 to calculate all the possible screen lengths. d. What is the area of a 27-inch screen with a width of 2 inches? e. Define list L3 to calculate all possible screen areas. f. Plot points in the form (width, area) and find an equation that fits these points. g. What screen dimensions give the largest area for a 27-inch TV? The

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