Question

i) Determine which of the vector fields given below is conservative
a) F = (((y)/(x^2+y^2))-1)i - ((x)/(x^2+y^2))j
a) F = (((x)/(x^2+y^2))-1)i - ((y)/(x^2+y^2))j

ii) Show the points A(pi /6, pi /6) and B(–pi, pi) on the x,y-plane

iii) Calculate the work done (in dimensionless units) by the conservative field between these points, while presenting answer in exact form and then calculate up to four significant figures