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The paraboloid z = 5 − x − x2 − 2y2 intersects the plane x =...

The paraboloid

z = 5 − x − x2 − 2y2

intersects the plane x = 4 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point

(4, 2, −23).

(Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)

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