Consider the ellipsoid given by the equation: x³ y³ + = 75 - 5z². 3 3 a) [ Find the equation of the tangent plane at the point (-2, 3, -1) to this ellipsoid. b) [1. ]Find the symmetric equations of the normal line at the same point.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Work problem 1 (
Consider the ellipsoid given by the equation:
351²2
y³
+ : 75 - 5z².
x3
3
a) [
Find the equation of the tangent
plane at the point (-2, 3, -1) to this ellipsoid.
b) [1
] 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: 351²2 y³ + : 75 - 5z². x3 3 a) [ Find the equation of the tangent plane at the point (-2, 3, -1) to this ellipsoid. b) [1 ] Find the symmetric equations of the normal line at the same point.
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