A farmer has 477 meters of fencing for a rectangular garden, where fencing is not needed for one of the sides of the garden as one of the sides is bordered by a rock wall. Let y be the length of the side of the rectangle whose opposite side is the rock wall. Let x be the length of the side of the rectangle perpendicular to the rock wall. 1. Express the area of the rectangle as a function of . 2. Let A(x) be the function found in 1. What is the domain of A(x)? 3. The dimension of the garden with largest area is y = both are measured in 4. The largest area value is measured in
A farmer has 477 meters of fencing for a rectangular garden, where fencing is not needed for one of the sides of the garden as one of the sides is bordered by a rock wall. Let y be the length of the side of the rectangle whose opposite side is the rock wall. Let x be the length of the side of the rectangle perpendicular to the rock wall. 1. Express the area of the rectangle as a function of . 2. Let A(x) be the function found in 1. What is the domain of A(x)? 3. The dimension of the garden with largest area is y = both are measured in 4. The largest area value is measured in
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:A farmer has 477 meters of fencing for a rectangular garden,
where fencing is not needed for one of the sides of the
garden as one of the sides is bordered by a rock wall. Let y
be the length of the side of the rectangle whose opposite
side is the rock wall. Let x be the length of the side of the
rectangle perpendicular to the rock wall.
1. Express the area of the rectangle as a function of
x.
2. Let A(x) be the function found in 1. What is the domain
of A(x)?
3. The dimension of the garden with largest area is
x =
y =
both are measured in
4. The largest area value is
measured in
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