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A farmer has 2400 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? 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 dimensions of the largest possible field. (Enter your answers as a comma-separated list.) (b) Find a function that models the area of the field in terms of one of its sides. A(x) (c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values. ft smaller dimension larger dimension ft Need Help? Read It Watch It Talk to a Tutor

A farmer has 2400 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? 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 dimensions of the largest possible field. (Enter your answers as a comma-separated list.) (b) Find a function that models the area of the field in terms of one of its sides. A(x) (c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values. ft smaller dimension larger dimension ft Need Help? Read It Watch It Talk to a Tutor

Calculus: Early Transcendentals
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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A farmer has 2400 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? 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 dimensions of the largest possible field. (Enter your answers as a comma-separated list.) (b) Find a function that models the area of the field in terms of one of its sides. A(x) (c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values. ft smaller dimension larger dimension ft Need Help? Read It Watch It Talk to a Tutor
Transcribed Image Text:A farmer has 2400 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? 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 dimensions of the largest possible field. (Enter your answers as a comma-separated list.) (b) Find a function that models the area of the field in terms of one of its sides. A(x) (c) Use your model to solve the problem, and compare with your answer to part (a). Maximum area occurs at the following values. ft smaller dimension larger dimension ft Need Help? Read It Watch It Talk to a Tutor
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