F(x, y, =) = (y+: sin x, x+: cos y, cos x-sin y) and G(x, y, 2)= {y-z sin x, x+z cos y, cosx+ sin y} 1. Determine which vector field given above makes [(Påx+Qciy + Rdz) independent of path. Then find...

Consider vector filed

Extracted text: F(x, y, =) = (y+: sin x, x+: cos y, cos x-sin y) and G(x, y, 2)= {y-z sin x, x+z cos y, cosx+ sin y} 1. Determine which vector field given above makes [(Påx+Qciy + Rdz) independent of path. Then find potential function for that vector field. 2. Find the work done by the vector field (force field) that is the answer for question 1. above acting along the curve C from A to B. (Choose your own points A, B and curve C connecting these