Having escaped from Blabbas village before being detected the spy sneaks into Scelerats chteau. He enters a

Having escaped from Blabba’s village before being detected the spy sneaks into Scelerat’s château. He enters a room and the door slams shut behind him. He begins to feel warm and realizes he is trapped inside Scelerat’s dreaded broiler room. Searching desperately for a way to survive, he notices that the room is shaped like the circle x² + y² = 60 and that he is standing at the center (0, 0). He presses the stem on his special heatdetecting wristwatch and sees that the temperature at each point (x, y) in the room is given by

From an informant’s report, he knows that somewhere in the walls of this room there is a trap door leading outside the château, and he reasons that it must be located at the coolest point. Where is it? Just how cool will the spy be when he gets there?

Transcribed Image Text:

T(x, y) = x² + y² + 3xy + 5x + 15y + 130