Find an equation for the plane tangent to the surface

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1. Let g(x, y, z) = e^x y + z ln y. Calculate the gradient of g.

2. Use the methods of this section to find an equation for the plane tangent to the surface defined by the equation 3xy + z² - 4 = 0 at the point (1, 1, 1).

Reference no: EM131003887

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