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.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 37E

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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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