Which of the following equations determines the same surface as the parametric surface: r(s, t) = (2 cos(s) cos(t), cos(s) sin(t), sin(s)), (s, t) E [-x, n] × [0, 27) a. x² + 4y2 + z? 1 O b. x2 + y² + z? : 1 O c. x2/4 + y² + z? 1 O d. none of the other options

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Which of the following equations determines the same surface as the parametric
surface:
r(s, t) = (2 cos(s) cos(t), cos(s) sin(t), sin(s)),
(s, t) E [-x, 1] × [0, 2x)
a. x² + 4y² + z? = 1
b. x? + y? + z?
=
c. x²/4 + y? + z² = 1
O d. none of the other options
Transcribed Image Text:Which of the following equations determines the same surface as the parametric surface: r(s, t) = (2 cos(s) cos(t), cos(s) sin(t), sin(s)), (s, t) E [-x, 1] × [0, 2x) a. x² + 4y² + z? = 1 b. x? + y? + z? = c. x²/4 + y? + z² = 1 O d. none of the other options
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