The temperature at the point on the square with vertices (0, 0), (0, 3), (3, 0)and (3, 3)is given by Find the hottest and coldest points on the square.
A)(4, 4), (0, 0)
B)(3, 3), (0, 0)
C)(0, 3), (0, 0)
D)(3, 0), (0, 0)
E)(3, 3), (1, 0)

Question

The temperature at the point  on the square with vertices (0, 0), (0, 3), (3, 0)and (3, 3)is given by  Find the hottest and coldest points on the square.
A)(4, 4), (0, 0) 
B)(3, 3), (0, 0) 
C)(0, 3), (0, 0) 
D)(3, 0), (0, 0) 
E)(3, 3), (1, 0)

Quizplus · Accepted Answer

Since the square is of size 3x3, and the given point is not on any of the sides or vertices, we can assume that the maximum temperature point must be at one of the vertices of the square. This is because if the hottest point was somewhere inside the square, it would have to be surrounded by points at a higher temperature, and as we go towards the edges, the temperature would have to decrease. 
Similarly, the coldest point has to be at one of the corners of the square, since any other point inside the square would have some point around it with lower temperature.
Therefore, the hottest point is (3, 3) and the coldest point is (0, 0).

The Temperature at the Point on the Square with Vertices