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  3. given the line integral ∫c f(r) · dr where

Given the line integral ∫c F(r) · dr where F(x, y, z) = [mxy − z3...

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Basic Math

Given the line integral ∫c F(r) · dr where

F(x, y, z) = [mxy − z3 ,(m − 2)x2 ,(1 −m)xz2 ]

(a) Find m such that the line integral is path independent;

(b) Find a scalar function f such that F = grad f;

(c) Find the work done in moving a particle from A : (1, 2, −3)to B : (1, −4, 2).

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