Gives the equation of the tangent plane to the surface

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Reference no: EM131006811

Consider the surface described by the equation z = x³ - zy + 3y²

i. Find the equation of the tangent plane to the surface at the point (3, -1, 15).

ii. Using the differentials (or linear approximation) evaluate the approximate value of z on the surface when x = 3.01 and y = -1.01.

Reference no: EM131006811

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