Let S be the set of all x =/= O in R^n. Let r = abs(x), and let f be the vector field defined on S by the equation: f(x) = (r^p)(x),
where p is a real constant. Find a potential function for f on S.
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Sorry, r = to the norm of x
So what you really have is ?
In 3 dimensions, that is and you want a function f(x, y, z) such that
Okay, what is an anti-derivative of ?
I recommend the substitution .
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