Consider the ellipsoid X² + 4y² + z² = 18. (a) Find an equation of the tangent plane to the ellipsoid at the point (1, 2, 1). (b) Find parametric equations of the line that is normal to the ellipsoid at the point (1, 2, 1). (c) Find the acute angle that the tangent plane at the point (1, 2,1)makes with the xy-plane.

Consider the ellipsoid X² + 4y² + z² = 18. (a) Find an equation of the tangent plane to the ellipsoid at the point (1, 2, 1). (b) Find parametric equations of the line that is normal to the ellipsoid at the point (1, 2, 1). (c) Find the acute angle that the tangent plane at the point (1, 2,1)makes with the xy-plane.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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