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Calculate the Green’s value for the functions F = y^2 and G = x^2 for the region x = 1 and y = 2 from origin.(a) 0(b) 2(c) -2(d) 1I got this question during an interview for a job.This key question is from Green’s Theorem topic in division Vector Calculus of Electromagnetic Theory

Answer»

The correct choice is (c) -2

For explanation I WOULD say: ∫∫(dG/dx – dF/DY)dx dy = ∫∫(2x – 2y)dx dy. On integrating for x = 0->1 and y = 0->2, we get Green’s value as -2.



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