ellipsoid

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 53E
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Advanced Calculus
EXERCISE SET 13.7
CAS
1. Consider the ellipsoid x + y² + 4z2 = 12.
(a) Find an equation of the tangent plane to the ellipsoid at
the point (2, 2, 1).
(b) Find parametric equations of the line that is normal to
the ellipsoid at the point (2, 2, 1).
(c) Find the acute angle that the tangent plane at the point
(2, 2, 1) makes with the xy-plane.
aramet
Transcribed Image Text:Advanced Calculus EXERCISE SET 13.7 CAS 1. Consider the ellipsoid x + y² + 4z2 = 12. (a) Find an equation of the tangent plane to the ellipsoid at the point (2, 2, 1). (b) Find parametric equations of the line that is normal to the ellipsoid at the point (2, 2, 1). (c) Find the acute angle that the tangent plane at the point (2, 2, 1) makes with the xy-plane. aramet
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