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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 8E
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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 }](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40b5da85-1899-4d95-8050-37629abbe28c%2Faad9e33e-5472-4ac5-ab04-7b6b8151bfd3%2F1wd4gd7_processed.png&w=3840&q=75)
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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