Maximizing the Area of a Garden A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides (Figure 4.62). Given 200 ft of wire fencing, determine the dimensions that would create a garden of maximum area. What is the maximum area? X y Figure 4.62 We want to determine the measurements and y that will create a garden with a maximum area using 100 ft of fencing.
Maximizing the Area of a Garden A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides (Figure 4.62). Given 200 ft of wire fencing, determine the dimensions that would create a garden of maximum area. What is the maximum area? X y Figure 4.62 We want to determine the measurements and y that will create a garden with a maximum area using 100 ft of fencing.
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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![With 200 ft of fencing, answer the following:
a) What is the area as a function of x, A (x) ?
[Select]
b) What is the domain of A (a)? [Select]
Note: As in Example 4.32 we will find the maximum of A (x) over the
closed interval, even though the domain is the open interval.
c) Is it true that at the end points, A (x) = 0 ?
[Select]
d) Differentiate A (x). Are there any critical points?
[Select]
e) For what value of x is the area of the garden maximized?
[ Select]
f) What is the maximum area of the garden?
[Select]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6cf697e-fade-44e1-b881-07e950347421%2F4d6f2dc1-7ffc-4219-b392-91b6208806b9%2F49sn8ys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:With 200 ft of fencing, answer the following:
a) What is the area as a function of x, A (x) ?
[Select]
b) What is the domain of A (a)? [Select]
Note: As in Example 4.32 we will find the maximum of A (x) over the
closed interval, even though the domain is the open interval.
c) Is it true that at the end points, A (x) = 0 ?
[Select]
d) Differentiate A (x). Are there any critical points?
[Select]
e) For what value of x is the area of the garden maximized?
[ Select]
f) What is the maximum area of the garden?
[Select]
Transcribed Image Text:Maximizing the Area of a Garden
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing
for the other three sides (Figure 4.62). Given 200 ft of wire fencing, determine the dimensions that
would create a garden of maximum area. What is the maximum area?
X
y
Figure 4.62 We want to determine the measurements and y that will create a
garden with a maximum area using 100 ft of fencing.
X
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