A student was asked to find the equation of the tangentplane to the surface z = x3 y2 at

Chapter 14, Problem 18

(choose chapter or problem)

A student was asked to find the equation of the tangentplane to the surface z = x3 y2 at the point(x, y) = (2, 3). The students answer wasz = 3x2(x 2) 2y(y 3) 1.(a) At a glance, how do you know this is wrong?(b) What mistake did the student make?(c) Answer the question correctly

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