The plane y + z = 2 intersects the cylinder x2 + y2 = 5 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (2, 1, 1). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)

The plane y + z = 2 intersects the cylinder x2 + y2 = 5 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (2, 1, 1). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 12T

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Question

The plane y + z = 2 intersects the cylinder x² + y² = 5 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (2, 1, 1). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)

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