1) Consider the parametric equations x = a sin u cos v, y = b sin u sin v, z = c cos u; 0
1) Consider the parametric equations x = a sin u cos v, y = b sin u sin v, z = c cos u; 0
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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1) I would need some help to show that these equations represent an ellipsoid, please?
![1) Consider the parametric equations
x = a sin u coS v,
y = b sin u sin v,
z = c cos u;
0 <u<T,
0 <v< 2n
%3D
a) Show that these equations represent an ellipsoid. (Recall that a general equation for an
ellipsoid is + + = 1.)
b) Sketch a graph of the ellipsoid for the case a = 1, b = 2, c = 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe69a5e94-7c80-4ea0-858e-d2964f0298cf%2F967bf6e8-c497-4c29-a3f1-ab8370c7db68%2Fa1zx3bu_processed.png&w=3840&q=75)
Transcribed Image Text:1) Consider the parametric equations
x = a sin u coS v,
y = b sin u sin v,
z = c cos u;
0 <u<T,
0 <v< 2n
%3D
a) Show that these equations represent an ellipsoid. (Recall that a general equation for an
ellipsoid is + + = 1.)
b) Sketch a graph of the ellipsoid for the case a = 1, b = 2, c = 3.
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