1. Describe and sketch the following sets in cylindrical coordinates: (a) {(r, 0, 2): r = 3}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Describe and sketch the following sets in cylindrical coordinates:
(a) {(r,0, z) : r = 3}
(b) {(r, 0, z): 0 = π/2}
(c) {(r,0, z): z=2}
(d) {(r,0, z): z = 2r}
(e) {(r, 0, z): 2² +r² = 9}
(f) {(r, 0, 2) :
(g) {(r,0, z): 0 ≤ 0 ≤ 7, 2=1}
0≤r ≤ 3,0 ≤ 0≤ 3, 15:54}
(h) {(r,0, z): 2r ≤ z ≤ 4}
(i) {(r,0, z): 0 ≤ z ≤8-2r}
Transcribed Image Text:1. Describe and sketch the following sets in cylindrical coordinates: (a) {(r,0, z) : r = 3} (b) {(r, 0, z): 0 = π/2} (c) {(r,0, z): z=2} (d) {(r,0, z): z = 2r} (e) {(r, 0, z): 2² +r² = 9} (f) {(r, 0, 2) : (g) {(r,0, z): 0 ≤ 0 ≤ 7, 2=1} 0≤r ≤ 3,0 ≤ 0≤ 3, 15:54} (h) {(r,0, z): 2r ≤ z ≤ 4} (i) {(r,0, z): 0 ≤ z ≤8-2r}
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