The paraboloid z = 6 x x 2 2y 2 intersects the plane x

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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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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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