Question

Let which of the following is/are correct? The domain of f(x,y) is ________. Exists ________. f(x,y) is continuous at (0, 0).

1) p
2) q
3) r
4) p and q
5) q and r
6) p, q, and r

Answer 1

The domain of f(x,y) is unspecified or unknown. The existence of f(x,y) depends on the context. We cannot determine if f(x,y) is continuous at (0,0) without further information.

Step-by-step explanation:

The domain of f(x,y) is the set of all possible values that x and y can take. Since the question does not provide any specific values or restrictions for x and y, the domain of f(x,y) is unspecified or unknown.

The existence of f(x,y) depends on the context of the problem. Without further information, we cannot determine whether f(x,y) exists or not.

A function is continuous at a point if the limit of the function at that point exists and is equal to the value of the function at that point. Since there is no information given about the function f(x,y) or its behavior at (0,0), we cannot determine whether f(x,y) is continuous at (0,0) or not.