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Let E be the solid given in spherical coordinates by 0spS VI0, 0 < 0 s m/2, 0< ¢ S a/4. Describe the solid E in rectangular coordinates. O E = { (2,y, 2) | 0

Let E be the solid given in spherical coordinates by 0spS VI0, 0 < 0 s m/2, 0< ¢ S a/4. Describe the solid E in rectangular coordinates. O E = { (2,y, 2) | 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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Let E be the solid given in spherical coordinates by 0spS VI0, 0 < 0 s m/2, 0< ¢ S a/4. Describe the solid E in rectangular coordinates. O E = { (2,y, 2) | 0 <aS VIŪ, 0 S Y S VIO – g², %3D 10 – a² – y? < z s Va? + y? } O E = { (x, y, z) |- V10 << V10, 0 < y < V10 – 2² 2² + y? <z< VI0 – a² – y² } O E = { (r,y, 2) | 0 < x< v5, 0 < ys V5 – 2², V? + y? < z< V10 – 2² – y? } O E = { (z, y, 2) | 0< z< v10, 0 < y < v10 – a², Vz? + y? < zS V10 – x² – y? } O E = { (z, y, 2) | 0<x< v5, 0 < y< v5 – z², V10 – 2² – y < z < V? + y² }
Transcribed Image Text:Let E be the solid given in spherical coordinates by 0spS VI0, 0 < 0 s m/2, 0< ¢ S a/4. Describe the solid E in rectangular coordinates. O E = { (2,y, 2) | 0 <aS VIŪ, 0 S Y S VIO – g², %3D 10 – a² – y? < z s Va? + y? } O E = { (x, y, z) |- V10 << V10, 0 < y < V10 – 2² 2² + y? <z< VI0 – a² – y² } O E = { (r,y, 2) | 0 < x< v5, 0 < ys V5 – 2², V? + y? < z< V10 – 2² – y? } O E = { (z, y, 2) | 0< z< v10, 0 < y < v10 – a², Vz? + y? < zS V10 – x² – y? } O E = { (z, y, 2) | 0<x< v5, 0 < y< v5 – z², V10 – 2² – y < z < V? + y² }
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