Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle. a. Given that the total length of the fence is 60 m, present an illustration of the problem. b. Show that the area, A, is given by the formula A = y(60 – 2y), where y is the distance from the house to the end of the garden. Given that the area is a maximum for the length of this garden, find the dimensions of the enclosed garden and the area which is enclosed. с. Solution:
Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle. a. Given that the total length of the fence is 60 m, present an illustration of the problem. b. Show that the area, A, is given by the formula A = y(60 – 2y), where y is the distance from the house to the end of the garden. Given that the area is a maximum for the length of this garden, find the dimensions of the enclosed garden and the area which is enclosed. с. Solution:
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:Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side
of the rectangle.
a. Given that the total length of the fence is 60 m, present an illustration of the problem.
b. Show that the area, A, is given by the formula A = y(60 – 2y), where y is the distance
from the house to the end of the garden.
Given that the area is a maximum for the length of this garden, find the dimensions of
the enclosed garden and the area which is enclosed.
c.
Solution:
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