Q22Multiple correct3 Marks24 Dec 2023

Let f(x, y) = x^2 - y^2 + 4 on the disc S = { $(x,y)$ : x^2 + y^2 <= 1 }. Choose the correct option(s) from the following:

A

The absolute maximum for f occurs at two points and is equal to 5.

B

The absolute maximum for f occurs only at the point $(1,0)$.

C

The absolute minimum for f occurs only at $(0,1)$.

D

The absolute minimum for f occurs at two points on the boundary of the disc S.

E

$(0,0)$ is a saddle point of f.

F

There are no saddle points for f.