A campground owner has 2400 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river (See the catch) Latx represent the width of the field (a) Write an expression for the length of the field as a function of x. (b) Find the area of the field (area length x width) as a function of x (e) Find the value of x leading to the maximum area. (d) Find the maximum area CID (a) ((x)- (0) Axx) - (c) First write the expression for the derivative used to find the x value that maximizes area. dA dx The x-value leading to the maximum area is (d) The maximum area of the rectangular plot is

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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A campground owner has 2400 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the sketch Latx
represent the width of the field.
(a) Write an expression for the length of the field as a function of x.
(b) Find the area of the field (arealength x width) as a function of x.
(c) Find the value of x leading to the maximum area.
(d) Find the maximum area.
(a) ((x)=
(0) A(x) =
(c) First write the expression for the derivative used to find the x value that maximizes area..
dA
dx
The x-value leading to the maximum area is
(d) The maximum area of the rectangular plot is
Transcribed Image Text:A campground owner has 2400 m of fencing. He wants to enclose a rectangular field bordering a river, with no fencing along the river. (See the sketch Latx represent the width of the field. (a) Write an expression for the length of the field as a function of x. (b) Find the area of the field (arealength x width) as a function of x. (c) Find the value of x leading to the maximum area. (d) Find the maximum area. (a) ((x)= (0) A(x) = (c) First write the expression for the derivative used to find the x value that maximizes area.. dA dx The x-value leading to the maximum area is (d) The maximum area of the rectangular plot is
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