Math 48A/248A Group Work #22-Quadratic Functions (3.1) Names: A farmer wishes to enclose a rectangular region bordering a river with fencing as shown below. She has 600 feet of fencing available. Let x represent the width of the enclosure. (a) Find a formula for A(x), the area of the enclosure as a function of the width, x. (b) Give any restrictions on the value of x. In other words, what is the practical domain? (c) Find the coordinates of the horizontal intercepts of the graph y = A(x). Show clear, organized work. %3D Interpret these points in context. Include units. (d) What is the maximum area that can be enclosed? Give the dimension (length and width) of the enclosure with this maximum area. Include units in the answer.
Math 48A/248A Group Work #22-Quadratic Functions (3.1) Names: A farmer wishes to enclose a rectangular region bordering a river with fencing as shown below. She has 600 feet of fencing available. Let x represent the width of the enclosure. (a) Find a formula for A(x), the area of the enclosure as a function of the width, x. (b) Give any restrictions on the value of x. In other words, what is the practical domain? (c) Find the coordinates of the horizontal intercepts of the graph y = A(x). Show clear, organized work. %3D Interpret these points in context. Include units. (d) What is the maximum area that can be enclosed? Give the dimension (length and width) of the enclosure with this maximum area. Include units in the answer.
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:Math 48A/248A
Group Work #22-Quadratic Functions (3.1)
Names:
A farmer wishes to enclose a rectangular region bordering a river with fencing as shown below. She has 600 feet of
fencing available. Let x represent the width of the enclosure.
(a) Find a formula for A(x), the area of the enclosure as a function of the
width, x.
(b) Give any restrictions on the value of x. In other words, what is the practical domain?
(c) Find the coordinates of the horizontal intercepts of the graph y = A(x). Show clear, organized work.
%3D
Interpret these points in context. Include units.
(d) What is the maximum area that can be enclosed? Give the dimension (length and width) of the enclosure with this
maximum area. Include units in the answer.
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