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
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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.
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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