Suppose that the temperature at a point (x, y) on a metal plate is T(x, y) = 4x² - 4xy + y². An ant, walking on the plate, traverses a circle of radius 9 centered at the origin. What are the highest and lowest temperatures encountered by the ant? NOTE: Enter exact answers. Highest Temp = Lowest Temp =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Suppose that the temperature at a point (x, y) on a metal plate is
T(x, y) = 4x² — 4xy + y².
An ant, walking on the plate, traverses a circle of radius 9 centered
at the origin.
What are the highest and lowest temperatures encountered by the ant?
NOTE: Enter exact answers.
Highest Temp =
Lowest Temp =
Transcribed Image Text:Suppose that the temperature at a point (x, y) on a metal plate is T(x, y) = 4x² — 4xy + y². An ant, walking on the plate, traverses a circle of radius 9 centered at the origin. What are the highest and lowest temperatures encountered by the ant? NOTE: Enter exact answers. Highest Temp = Lowest Temp =
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