(a) Consider the family of level sets of the function F(x, y) = xy + 1. Use the implicit function theorem to identify which level sets of this family are actually unions of smooth curves inR2 (i.e., locally graphs of C1 functions of a single variable).
(b) Now consider the family of level sets of F(x, y, z) = xyz + 1. Which level sets of this family are unions of smooth surfaces in R3?
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.