Let M = { (x; y; z)TER3: x2 + y2 < 5,0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let M = { (x; y; z)TER3: x2 + y2 <5,0 <z <2,x Sys0}R. By which one Expression is a
parameterization of the set M given in cylindrical coordinates (r; 6; z)?
57 3T
(a)
re [0, v5], ø e 7,
z E (0,2)
(Ъ)
r€ (0, 5], ø e
, z e [0, 2]
4 2
57 37
[57 37
(c)
re [0, 5], ø e
z E (0,2)
2
(d)
re (0, 25), ø €
z E (0, 2)
2
57
re [0, v5), ø E
57 37
(e)
z E (0,2) (f)
те-5,5), фе
z E [0, 2]
2
Transcribed Image Text:Let M = { (x; y; z)TER3: x2 + y2 <5,0 <z <2,x Sys0}R. By which one Expression is a parameterization of the set M given in cylindrical coordinates (r; 6; z)? 57 3T (a) re [0, v5], ø e 7, z E (0,2) (Ъ) r€ (0, 5], ø e , z e [0, 2] 4 2 57 37 [57 37 (c) re [0, 5], ø e z E (0,2) 2 (d) re (0, 25), ø € z E (0, 2) 2 57 re [0, v5), ø E 57 37 (e) z E (0,2) (f) те-5,5), фе z E [0, 2] 2
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