Does the the paraboloid z = 1 – 2x² – y² have a tangent plane at some point which is parallel to x + y + z = 1? If so, find out where the point is and write down the tangent plane to the paraboloid at...

Solve in 20 minutes please

Extracted text: Does the the paraboloid z = 1 – 2x² – y² have a tangent plane at some point which is parallel to x + y + z = 1? If so, find out where the point is and write down the tangent plane to the paraboloid at that point in the form of ax + by + cz = D; if not, explain why not.