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?

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