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

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).

Expert Solution

milcah answered 2 years ago

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

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 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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