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a.maximize and minimize −2xy on the ellipse x^2+4y^2=4 b.Determine whether or not the vector function is...

a.maximize and minimize −2xy on the ellipse x^2+4y^2=4

b.Determine whether or not the vector function is the gradient ∇f (x, y) of a function everywhere defined. If so, find all the functions with that gradient. (x^2+3y^2)i+(2xy+e^x)j

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