Consider the ellipsoid given by the equation: y4 4 x8 8 a) i ] Find the equation of the tangent plane at the point (-2, 3, -3) to this ellipsoid. + = 53 - 5z². b) [] Find the symmetric equations of the normal line at the same point.

Advanced Engineering Mathematics
10th Edition
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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:
x8
14
+ = 53 - 5z²
8 4
a) i
Find the equation of the tangent
plane at the point (-2, 3, -3) to this ellipsoid.
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: x8 14 + = 53 - 5z² 8 4 a) i Find the equation of the tangent plane at the point (-2, 3, -3) to this ellipsoid. b) [₁ e] Find the symmetric equations of the normal line at the same point.
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