A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2000 yd 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) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x. A(x) =] (Type an expression using x as the variable.)

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 lifequard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2000 yd 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.)
Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x.
A(x)=|
(Type an expression using x as the variable.)
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Transcribed Image Text:A lifequard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2000 yd 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.) Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective function for the area in terms of x. A(x)=| (Type an expression using x as the variable.) Help me solve this View an example Get more help - Clear all Check answer Review Resume P Type here to search
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