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 al 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) Experiment with the problem by drawing several diagrams illustrating the situation. Calculate the area of each configuration, and use your results to est possible field. (Round your answers to the nearest hundred feet.) ft ft (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). ft

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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