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A house on a hill is enclosed by a circular fence with center at the front door. The fence is made of wooden boards of uniform height. If we use a coordinate system with origin at the center of the circle, then the fence can be described as x² + y² = 80. Suppose the elevation at any point on the base of the fence relative to the elevation of the front door is given by 4x - 2y. What is the location (point) of minimum elevation of this fence?

A house on a hill is enclosed by a circular fence with center at the front door. The fence is made of wooden boards of uniform height. If we use a coordinate system with origin at the center of the circle, then the fence can be described as x² + y² = 80. Suppose the elevation at any point on the base of the fence relative to the elevation of the front door is given by 4x - 2y. What is the location (point) of minimum elevation of this fence?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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A house on a hill is enclosed by a circular fence with center at the front door. The fence is made of wooden boards of uniform height. If we use a coordinate system with origin at the center of the circle, then the fence can be described as x² + y² 80. Suppose the elevation at any point on the base of the fence relative to the elevation of the front door is given by 4x - 2y. What is the location (point) of minimum elevation of this fence? =
Transcribed Image Text:A house on a hill is enclosed by a circular fence with center at the front door. The fence is made of wooden boards of uniform height. If we use a coordinate system with origin at the center of the circle, then the fence can be described as x² + y² 80. Suppose the elevation at any point on the base of the fence relative to the elevation of the front door is given by 4x - 2y. What is the location (point) of minimum elevation of this fence? =
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Why is 4 not plus or minus since the square root was taken in order to find the value of x. Is it something to do with the question ?

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