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  3. q2. given the line integral c f (r) · dr where

Q2. Given the line integral C F (r) · dr where F(x,y,z) = [mxy − z3,(m...

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Basic Math

Q2. 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 pathindependent;
(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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