(e) Verify Green's theorem for a vector field F(x, y)= y²i + x²j and a triangle bounded by the lines a+ y = 1 and -x + y = 1 and y = 0. (Hint: all theconditions in the Green theorem must beverified.)

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Answered: (e) Verify Green's theorem for a vector…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(e) Verify Green's theorem for a vector field F(x, y) = y²i + x²j and a triangle bounded by the lines a +y=1 and -x + y = 1 and y = 0. (Hint: all the conditions in the Green theorem must be verified.)