The temperature at point (x,y) on a metal plate is T(x,y) = 144x² - 144xy +36y². An ant on the plate walks around the circle of radius 5 centered at the origin. What are the highest and lowest temperatures encountered by the ant? The minimum tempore: in degrooo
The temperature at point (x,y) on a metal plate is T(x,y) = 144x² - 144xy +36y². An ant on the plate walks around the circle of radius 5 centered at the origin. What are the highest and lowest temperatures encountered by the ant? The minimum tempore: in degrooo
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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![### Problem: Finding Maximum and Minimum Temperatures on a Metal Plate
The temperature at a point \((x, y)\) on a metal plate is given by the function:
\[ T(x, y) = 144x^2 - 144xy + 36y^2 \]
An ant on the plate walks around a circle with a radius of 5 centered at the origin. The task is to determine the highest and lowest temperatures encountered by the ant as it traverses this path.
\[ ... \]
#### Solution:
The minimum temperature is \(\boxed{\phantom{xx}}\) degrees.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1840ebe-b0df-4fe8-9210-d8e3dcfa32cc%2F1816791a-c98c-4616-a881-14bdc3526e37%2Fudq0ltc_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem: Finding Maximum and Minimum Temperatures on a Metal Plate
The temperature at a point \((x, y)\) on a metal plate is given by the function:
\[ T(x, y) = 144x^2 - 144xy + 36y^2 \]
An ant on the plate walks around a circle with a radius of 5 centered at the origin. The task is to determine the highest and lowest temperatures encountered by the ant as it traverses this path.
\[ ... \]
#### Solution:
The minimum temperature is \(\boxed{\phantom{xx}}\) degrees.
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