Finding maximum and minimum values

Question

Questions:

Maximum and Minimum Values (Looking at Curves and Gradients)

For each of the following functions, find the maximum and minimum values of the function on the circular disk: x2 + y2 < 1. Do this by looking at the level curves and gradients.

(A). ƒ(x,y) = x + y + 3

         maximum value =

         minimum value =

(B). ƒ(x,y) = 3x² + 4y²

         maximum value =

         minimum value =

(C). ƒ(x,y) = 3x²-4y²

         maximum value =

         minimum value =