Please help to solve this into detail. Thank you.   1) Find an equation of the plane tangent to the surface defined by the equation 3xy + z2 - 4 = 0 at (1,1,1)   2) The temperature at point (?, ?, ?) in space is given by ?(?, ?, ?) = ? + ??. A fly is at the point (1, 2, 1). In what direction should begin to fly to cool off as quickly as possible? Write the unit vector for the requested direction.  3)  Find the critical points of f(x,y) = xy2 + x2y + 8xy and classify each as a local maximum, local minimum, or saddle point.

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