3. (Sections 1.3,11.3,11.4) Consider the two-dimensional vector field F defined by F = (x2 - 4, xy + x). (a) Show that F is not
3. (Sections 1.3,11.3,11.4) Consider the two-dimensional vector field F defined by F = (x2 - 4, xy + x). (a) Show that F is not invertible. (2) (b) Find the set of points in R2 about which F is locally C'-invertible by using the Inverse Function Theorem. (7) [9]
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