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.
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80f3c19a-94b5-44bb-acf5-41ed41312173%2F347962df-b7af-40fe-b9d9-36298802c472%2F5073dso_processed.jpeg&w=3840&q=75)
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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