Question: Consider the surface given by x - 4x + y = z. (a) Describe the traces of the surface in z = k. (b)

Consider the surface given by x - 4x + y = z. (a) Describe the traces of the surface in z = k. (b) What is the minimum value of k such that z = k intersects the surface. Explain. (c) Find all points of intersection of the surface with the curve r(t) = (t, -t,t).

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