Question: The paraboloid z = 6- x - x 2 - 2y 2 intersects the plane x = 1 in a parabola. Find parametric equations for

The paraboloid z = 6- x - x² - 2y² intersects the plane x = 1 in a parabola. Find parametric equations for the tangent line to this parabola at the point (1, 2, -4). Use a computer to graph the paraboloid, the parabola, and the tangent line on the same screen.

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