Let W be the plane with equation x + 2y +2z = 1. Define the function f (x, y, z) to be f(r, y, z) = distance from (x, y, z) to W. (a) For each real number k > 0, the level surface f(x, y, z) = k can be described in terms of other familiar surfaces. Give a geometric description of the level surface f (x,y, z) = k. Be as precise as possible when explaining your answer. %3D %3D (b) For each real number k > 0, produce an explicit equation for the level surface f(x, y, z) = k. (c) Consider the function g = f² (distance square). Find the partial derivatives (x, y, z) and Əzðy notice? dyöz (I, Y, z). What do you

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