A graphing calculator is recommended. Consider the following problem: A farmer has 1600 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence? (Let x be the width of the field in feet and / be the length of the field in feet.) A (a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimension of the largest possible field. (Round your answers to the nearest hundred feet.) X = 1600-4x ft | = ft (b) Find a function that models the area of the field in terms of one of its sides. A(x) = (1600 – 2x) = 1600 – 2x2

Calculus: Early Transcendentals
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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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A graphing calculator is recommended.
Consider the following problem: A farmer has 1600 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the
figure). What are the dimensions of the field of largest area that he can fence? (Let x be the width of the field in feet and / be the length of the field in feet.)
A
(a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimension
of the largest possible field. (Round your answers to the nearest hundred feet.)
X =
1600-4x
ft
| =
ft
(b) Find a function that models the area of the field in terms of one of its sides.
A(x) =
(1600 – 2x) = 1600 – 2x2
Transcribed Image Text:A graphing calculator is recommended. Consider the following problem: A farmer has 1600 ft of fencing and wants to fence off a rectangular field that borders a straight river. He does not need a fence along the river (see the figure). What are the dimensions of the field of largest area that he can fence? (Let x be the width of the field in feet and / be the length of the field in feet.) A (a) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to estimate the dimension of the largest possible field. (Round your answers to the nearest hundred feet.) X = 1600-4x ft | = ft (b) Find a function that models the area of the field in terms of one of its sides. A(x) = (1600 – 2x) = 1600 – 2x2
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