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Change from rectangular to spherical coordinates. (Let p ≥ 0, 0 ≤ 0 ≤ 2π, and 0 ≤ y ≤ ñ.) (a) (0, 3, -3) (p, 0, 0) =

Change from rectangular to spherical coordinates. (Let p ≥ 0, 0 ≤ 0 ≤ 2π, and 0 ≤ y ≤ ñ.) (a) (0, 3, -3) (p, 0, 0) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Change from rectangular to spherical coordinates. (Let ? ≥ 0, 0 ≤ ? ≤ 2?, and 0 ≤ ? ≤ ?.)

(a)

(0, 3, −3)
(?, ?, ?) = 
 
 
 
 
 
 
 

(b)

(−6, 6, 6
  6
)
(?, ?, ?) = 
 
 
 
 
 
 
 
**Change from Rectangular to Spherical Coordinates** *Let \( \rho \geq 0, \ 0 \leq \theta \leq 2\pi, \ \text{and} \ 0 \leq \phi \leq \pi.\)* (a) Given Rectangular Coordinates: \( (0, 3, -3) \) Convert to Spherical Coordinates: \( (\rho, \theta, \phi) = \left( \boxed{} \right) \) (b) Given Rectangular Coordinates: \( (-6, 6, 6\sqrt{6}) \) Convert to Spherical Coordinates: \( (\rho, \theta, \phi) = \left( \boxed{} \right) \)
Transcribed Image Text:**Change from Rectangular to Spherical Coordinates** *Let \( \rho \geq 0, \ 0 \leq \theta \leq 2\pi, \ \text{and} \ 0 \leq \phi \leq \pi.\)* (a) Given Rectangular Coordinates: \( (0, 3, -3) \) Convert to Spherical Coordinates: \( (\rho, \theta, \phi) = \left( \boxed{} \right) \) (b) Given Rectangular Coordinates: \( (-6, 6, 6\sqrt{6}) \) Convert to Spherical Coordinates: \( (\rho, \theta, \phi) = \left( \boxed{} \right) \)
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