Question: Find all points on the paraboloid z = x2 + y2 (see Appendix D) where the tangent plane is parallel to the plane x +

Find all points on the paraboloid z = x2 + y2 (see Appendix D) where the tangent plane is parallel to the plane x + y + z = 1. Find equations of the corresponding tangent planes. Sketch the graphs of these functions to see that your answer agrees with your intuition.

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