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?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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