4. (a) For any f(t,y,z), M. curl (grad f) da = 0. Justify the truth of this equation with proof(s). (6 Marks) 6) A vecto

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4 A For Any F T Y Z M Curl Grad F Da 0 Justify The Truth Of This Equation With Proof S 6 Marks 6 A Vecto 1 (16.22 KiB) Viewed 10 times

4. (a) For any f(t,y,z), M. curl (grad f) da = 0. Justify the truth of this equation with proof(s). (6 Marks) 6) A vector field F(x, y, z) = zi+zzj++ k cuts a planer surface S: 3x +2y+62 = 6, 120.72 0.2 2 0. Evaluate is x F.da. (11 Marks) c) Hence, using the result from part 4(b), or otherwise, find the work done in moving a particle along the straight line from (0,0,1) to (2,0,0). (8 Marks)