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i)Please state if the following equations are exact or not: (a) (sin(xy) − xy cos(xy))dx +...

i)Please state if the following equations are exact or not:

(a) (sin(xy) − xy cos(xy))dx + x^2 cos(xy)dy = 0

(b) (x^3 + xy^2 )dx + (x^2 y + y^3 )dy = 0

ii) Determine if the following equation is exact, and if it is exact, find its complete integral in the form g(x, y) = C:

(3(x)^2 + 2(y)^2 )dx + (4xy + 6(y)^2 )dy = 0

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