Let φ(x, y) = arctan (y/x) .
(a) find the vector field f : = ∇φ, and simplify its components...
Mathematics, 21.11.2019 02:31, jace9926
Let φ(x, y) = arctan (y/x) .
(a) find the vector field f : = ∇φ, and simplify its components as much as possible.
(b) what is the domain of definition of f?
(c) find all the points (a, b) (belonging to the domain of definition of f) at which the vector f(a, b) is parallel to the line y = x. (note: for a real number u, arctan u is also denoted by tan−1 u. use the notation that you prefer.)
Answers: 2
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