1. Consider the function f(x, y) = x²y-ex-y. a. Find the equation of the tangent plane at the point (1.1). b. Find the equation of the normal line in vector-valued function form at the same point. 2. Find the equation of the tangent plane for the parametric surface (u,v) = u cos vî + (u sin v - 1)ĵ + u²k at u = 2√2, v = ½ 3. What kind of surface is the function in #2? Use technology to produce a graph.

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