A level curves of a function of two variables, ,
A) Exists for all values of
B) Exists for all values of
C) Exists for all values of
D) Exists for all values of
E) Exists for all values of

Question

A level curves of a function  of two variables,  ,
A) Exists for all values of 
B) Exists for all values of 
C) Exists for all values of 
D) Exists for all values of 
E) Exists for all values of

Quizplus · Accepted Answer

The level curves of a function of two variables are the curves in the domain of the function along which the function has a constant value. Since the question does not provide any specific function for which the level curves are being considered, we cannot determine whether the level curves exist for all values of any particular variable. However, we do know that the level curves exist for every point in the domain of the function, which means they exist for all values of any variables involved in defining the domain. Therefore, the correct answer is A) Exists for all values of 11eaa8b1_d9f0_dc06_b1b6_e5d58ec0521e_TB6026_11 which is a variable with no specific meaning in this context.

A Level Curves of a Function of Two Variables