Question: Question 3 (13 Marks) (i) Given the vector field F(x, y, z) = (y cos(xy) , x cos(xy) , - sinz). Determine whether or not

Question 3 (13 Marks) (i) Given the vector field F(x, y, z) = (y cos(xy) , x cos(xy) , - sinz). Determine whether or not Fis conservative. If the vector field is conservative, find the corresponding potential function. [7] (ii) Calculate the work done by a force F = (yz, 2zx,xy), which displaces an object along the curve C the circle x2+y? =9,z=1, counterclockwise. [6]

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