Question: Let F = y = x2 + y2 i - x / x2 + y2 = j = Mi + Nj (a) Show that N/x

Let
F = y = x2 + y2 i - x / x2 + y2 = j = Mi + Nj
(a) Show that ˆ‚N/ˆ‚x = ˆ‚M/ˆ‚y.
(b) Show, by using the parameterization x = cos t, y = sin t, that
M dx + N dy = -2m,

Where C is the unit circle?
(c) Why doesn't this contradict Green's Theorem?

M dx + N dy = -2m,

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