Work problem 1 Consider the ellipsoid given by the equation: .8 53 - 5z². X + y 4 8 a) i ]Find the equation of the tangent plane at the point (-2, 3, -3) to this ellipsoid. b) [] Find the symmetric equations of the normal line at the same point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 28E
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Work problem 1
Consider the ellipsoid given by the equation:
14
+ = 53 - 5z²
8 4
a) i
Find the equation of the tangent
plane at the point (-2, 3, -3) to this ellipsoid.
48
b) [₁
e] Find the symmetric equations of
the normal line at the same point.
Transcribed Image Text:Work problem 1 Consider the ellipsoid given by the equation: 14 + = 53 - 5z² 8 4 a) i Find the equation of the tangent plane at the point (-2, 3, -3) to this ellipsoid. 48 b) [₁ e] Find the symmetric equations of the normal line at the same point.
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