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Determine which of the differentials (or both) is the total differential: a) (yex +ey –2)dx+(ex +xey...

Determine which of the differentials (or both) is the total differential: a) (yex +ey –2)dx+(ex +xey +3)dy; b) 3exp(3x + 2y)siny dx – (siny – 2cosy)exp(3x + 2y)dy.

Find the potential function in the case of the total differential subject to the condition: U(–1, 0) = 5.

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