Please answer question 9 on the screenshot in the post. Please give a full explanation to each of the steps. ExercisesAFor Exercises 1-4, find the (a) cylindrical and (b) spherical coordinates of the point whoseCartesian coordinates are given.1. (2,2v3, –1)2. (-5,5,6)3. (v21, – v7,0)4. (0, v2,2)For Exercises 5-7, write the given equation in (a) cylindrical and (b) spherical coordinates.5. x² + y² +z² = 256. x² + y² = 2y7. x² + y2 + 9z² = 36B8. Describe the intersection of the surfaces whose equations in spherical coordinates are0 = 5 and ø =4.9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes asphere centered at (a,0,0) with radius |a|.

Given : The equation ρ = 2 a sin ϕ cosθ . To determine: The equation ρ = 2 a sin ϕ cosθ in…

Answered: 9. Show that for a ± 0, the equation p…

9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes a sphere centered at (a,0,0) with radius |a]. %3D

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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Question

Please answer question 9 on the screenshot in the post. Please give a full explanation to each of the steps.

Exercises
A
For Exercises 1-4, find the (a) cylindrical and (b) spherical coordinates of the point whose
Cartesian coordinates are given.
1. (2,2v3, –1)
2. (-5,5,6)
3. (v21, – v7,0)
4. (0, v2,2)
For Exercises 5-7, write the given equation in (a) cylindrical and (b) spherical coordinates.
5. x² + y² +z² = 25
6. x² + y² = 2y
7. x² + y2 + 9z² = 36
B
8. Describe the intersection of the surfaces whose equations in spherical coordinates are
0 = 5 and ø =4.
9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes a
sphere centered at (a,0,0) with radius |a|.

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