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March 28, 2017

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he paraboloid
z = 4 − 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, −24).
(Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)

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