A regulation NFL playing field of length x and width y has a perimeter of 346ź or "3" yards. 1040 (a) Draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle. (b) Show that the width of the rectangle is y = – x and its area is A = x( - x). 520 (520 (c) Use a graphing utility to graph the area equation. Be sure to adjust your window settings. (d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area. (e) Use your school's library, the Internet, or some other reference source to find the actual dimensions and area of a regulation NFL playing field and compare your findings with the results of part (d).
A regulation NFL playing field of length x and width y has a perimeter of 346ź or "3" yards. 1040 (a) Draw a rectangle that gives a visual representation of the problem. Use the specified variables to label the sides of the rectangle. (b) Show that the width of the rectangle is y = – x and its area is A = x( - x). 520 (520 (c) Use a graphing utility to graph the area equation. Be sure to adjust your window settings. (d) From the graph in part (c), estimate the dimensions of the rectangle that yield a maximum area. (e) Use your school's library, the Internet, or some other reference source to find the actual dimensions and area of a regulation NFL playing field and compare your findings with the results of part (d).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A regulation NFL playing field of length
x and width y has a perimeter of 346ź or "3" yards.
1040
(a) Draw a rectangle that gives a visual representation
of the problem. Use the specified variables to label
the sides of the rectangle.
(b) Show that the width of the rectangle is y = – x
and its area is A = x( - x).
520
(520
(c) Use a graphing utility to graph the area equation. Be
sure to adjust your window settings.
(d) From the graph in part (c), estimate the dimensions
of the rectangle that yield a maximum area.
(e) Use your school's library, the Internet, or some
other reference source to find the actual dimensions
and area of a regulation NFL playing field and
compare your findings with the results of part (d).
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