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House I Width: ft X Figure 1 Figure 2 Tessa has 40 ft of fencing available to construct a fence that will divide her garden into four rectangular sections. Her house forms one side of the garden and a represents the width, as shown in Figure 1. (a) Express the total area of the four sections as a function of x. A(x) = (b) Find the domain of the function. Write your answer as a compound inequality involving . Length: ft Domain of A(x): (c) Using the graph of A(x) shown in Figure 2, determine the dimensions that yield the maximum area. (4,88)

House I Width: ft X Figure 1 Figure 2 Tessa has 40 ft of fencing available to construct a fence that will divide her garden into four rectangular sections. Her house forms one side of the garden and a represents the width, as shown in Figure 1. (a) Express the total area of the four sections as a function of x. A(x) = (b) Find the domain of the function. Write your answer as a compound inequality involving . Length: ft Domain of A(x): (c) Using the graph of A(x) shown in Figure 2, determine the dimensions that yield the maximum area. (4,88)

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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Width: ft House Length: ft X Figure 1 Figure 2 Tessa has 40 ft of fencing available to construct a fence that will divide her garden into four rectangular sections. Her house forms one side of the garden and represents the width, as shown in Figure 1. (a) Express the total area of the four sections as a function of x. A(x) = (b) Find the domain of the function. Write your answer as a compound inequality involving. Domain of A(x): (c) Using the graph of A(x) shown in Figure 2, determine the dimensions that yield the maximum area. A(x) (4,88)
Transcribed Image Text:Width: ft House Length: ft X Figure 1 Figure 2 Tessa has 40 ft of fencing available to construct a fence that will divide her garden into four rectangular sections. Her house forms one side of the garden and represents the width, as shown in Figure 1. (a) Express the total area of the four sections as a function of x. A(x) = (b) Find the domain of the function. Write your answer as a compound inequality involving. Domain of A(x): (c) Using the graph of A(x) shown in Figure 2, determine the dimensions that yield the maximum area. A(x) (4,88)
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