Use Green's Theorem to derive Green's Identity: du dv dx dy = Sr ds -SS vu...

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Use Green's Theorem to derive Green's Identity: du dv dx dy = Sr ds -SS vu dx dy. SS {ax ax + ay ay 2 1 1, k = 0 (a) Show that eiko do = 2 0 (0, k = 0. (b) Explicitly verify the conclusion of Example 13 for y, the circle of radius 1, centered at 0. (Hint: Z- 1 = k=0 Z pk k+1 if 0 Use Green's Theorem to derive Green's Identity: du dv dx dy = Sr ds -SS vu dx dy. SS {ax ax + ay ay 2 1 1, k = 0 (a) Show that eiko do = 2 0 (0, k = 0. (b) Explicitly verify the conclusion of Example 13 for y, the circle of radius 1, centered at 0. (Hint: Z- 1 = k=0 Z pk k+1 if 0