(d) {(r, 0, z): z = 2r} (e) {(r, 0, 2): 2²+r² = 9} (g) {(r, 0, z): 0 ≤0· 7₁ z = 1}

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:

(d) \(\{(r, \theta, z) : z = 2r\}\)

(e) \(\{(r, \theta, z) : z^2 + r^2 = 9\}\)

(g) \(\{(r, \theta, z) : 0 \leq \theta \leq \frac{\pi}{2}, z = 1\}\)

(i) \(\{(r, \theta, z) : 0 \leq z \leq 8 - 2r\}\)
Transcribed Image Text:1. Describe and sketch the following sets in cylindrical coordinates: (d) \(\{(r, \theta, z) : z = 2r\}\) (e) \(\{(r, \theta, z) : z^2 + r^2 = 9\}\) (g) \(\{(r, \theta, z) : 0 \leq \theta \leq \frac{\pi}{2}, z = 1\}\) (i) \(\{(r, \theta, z) : 0 \leq z \leq 8 - 2r\}\)
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