There is an ant on a circular heated plate. The plate temperature is given by f(x, y) = y² – x² + 12 degrees Fahrenheit, with x and y in meters from the center of the plate. The ant walks along the edge of the plate, which has a radius of 11 meters and has it's center at the origin. Given the ant prefers warmer spots to colder spots, what is the warmest the ant can get?
There is an ant on a circular heated plate. The plate temperature is given by f(x, y) = y² – x² + 12 degrees Fahrenheit, with x and y in meters from the center of the plate. The ant walks along the edge of the plate, which has a radius of 11 meters and has it's center at the origin. Given the ant prefers warmer spots to colder spots, what is the warmest the ant can get?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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