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1)Find an equation of the tangent plane to the surface given by the equation xy +...

1)Find an equation of the tangent plane to the surface given by the equation xy + e^2xz +3yz = −5, at the point, (0, −1, 2)

2)Find the local maximum and minimum values and saddle points for the following function: f(x, y) = x − y+ 1 xy .

3)Use Lagrange multipliers to find the maximum and minimum values of the function, f(x, y) = x^2 − y^2 subject to, x^2 + y 4 = 16.

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