A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1100 y and floats. What dimensions of the rectangle will maximize the area? What is the maximum area? (N shoreline is one side of the rectangle.) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective funct area in terms of x. A(x) =O (Type an expression using x as the variable.) The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is The maximum area of the rectangular region is

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd of rope and floats. What dimensions of the rectangle will maximize the​ area? What is the maximum​ area? (Note that the shoreline is one side of the​ rectangle.)

A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1100
and floats. What dimensions of the rectangle will maximize the area? What is the maximum area? (N
shoreline is one side of the rectangle.)
Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective funct
area in terms of x.
O
(Type an expression using x as the variable.)
A(x) =
The length of the shorter side of the rectangular region is
The length of the longer side of the rectangular region is
The maximum area of the rectangular region is
Transcribed Image Text:A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 1100 and floats. What dimensions of the rectangle will maximize the area? What is the maximum area? (N shoreline is one side of the rectangle.) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective funct area in terms of x. O (Type an expression using x as the variable.) A(x) = The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is The maximum area of the rectangular region is
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