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) Choose the correct geometric description of the set of points in space whose coordinates saisfy the given combinations of inequalties and equations. See if you can sketch the set as well. Half_plane v 1. (z – 8)² + (y – 7)² + (2 – 8)² < 5, z > 8, y = 7 ? 2 (2 – 8)* + (y – 7)° + (z – 8)² > 5 Half_plane 3. (z – 8)? + (y – 7)² + (z – 8)² < 5, z 2 8 Quadrant_of_a_plane Half space 4.1<(2- 8)? + (y – 7)* + ( - 8)² < 5 Octant 5. z > 0, z = 7 Dell

) Choose the correct geometric description of the set of points in space whose coordinates saisfy the given combinations of inequalties and equations. See if you can sketch the set as well. Half_plane v 1. (z – 8)² + (y – 7)² + (2 – 8)² < 5, z > 8, y = 7 ? 2 (2 – 8)* + (y – 7)° + (z – 8)² > 5 Half_plane 3. (z – 8)? + (y – 7)² + (z – 8)² < 5, z 2 8 Quadrant_of_a_plane Half space 4.1<(2- 8)? + (y – 7)* + ( - 8)² < 5 Octant 5. z > 0, z = 7 Dell

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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) Choose the correct geometric description of the set of points in space whose coordinates saisfy the given combinations of inequalties and equations. See if you can sketch the set as well. Half_plane v 1. (z – 8)² + (y – 7)² + (2 – 8)² < 5, z > 8, y = 7 ? 2 (2 - 8)° + (y – 7)° + (2 – 8)² 2 5 Half_plane 3. (z – 8)? + (y – 7)² + (z – 8)² < 5, z 2 8 Quadrant_of_a_plane Half space 4.1< (2 – 8)² + (y – 7)² + (2 – 8)² < 5 Otant 5. z > 0, z = 7 Ball 6. (2 – 8)² + (y – 7)² + (2 – 8)² < 5 Half_ball Quarter_ball 7.z <0, y = 8, z > 0 Disk 8. (z – 8)² + (y – 7)ª < 5 Half_disk Region_outside_ball 9. z < 0, y > 0, z < 0 Plane_minus_disk 10. y <0 Ball minus_a_smaller_ball 11.(z – 8)? + (y – 7)² + (z - 8)² 2 5, 2 = 8 Finite_cylinder Infinite_cylinder 12. 0 <z< 8, -8 < y <0, –8 < z < 0 Cube 13. (z – 8)° + (y – 7)² + (2 – 8)² < 5, z = 8 | None_of _the_above 14. (2 – 8)² + (y – 7)² + (z – 8)² < 5, z < 8, 2 < 8
Transcribed Image Text:) Choose the correct geometric description of the set of points in space whose coordinates saisfy the given combinations of inequalties and equations. See if you can sketch the set as well. Half_plane v 1. (z – 8)² + (y – 7)² + (2 – 8)² < 5, z > 8, y = 7 ? 2 (2 - 8)° + (y – 7)° + (2 – 8)² 2 5 Half_plane 3. (z – 8)? + (y – 7)² + (z – 8)² < 5, z 2 8 Quadrant_of_a_plane Half space 4.1< (2 – 8)² + (y – 7)² + (2 – 8)² < 5 Otant 5. z > 0, z = 7 Ball 6. (2 – 8)² + (y – 7)² + (2 – 8)² < 5 Half_ball Quarter_ball 7.z <0, y = 8, z > 0 Disk 8. (z – 8)² + (y – 7)ª < 5 Half_disk Region_outside_ball 9. z < 0, y > 0, z < 0 Plane_minus_disk 10. y <0 Ball minus_a_smaller_ball 11.(z – 8)? + (y – 7)² + (z - 8)² 2 5, 2 = 8 Finite_cylinder Infinite_cylinder 12. 0 <z< 8, -8 < y <0, –8 < z < 0 Cube 13. (z – 8)° + (y – 7)² + (2 – 8)² < 5, z = 8 | None_of _the_above 14. (2 – 8)² + (y – 7)² + (z – 8)² < 5, z < 8, 2 < 8
Choose the correct geometric description of the set of points in space whose coordinates satisfy the given combinations of inequalities and equations. Se if you can sketch the set as well. Half_plane 1. (x – 8)? + (y – 7)² + (z – 8)² < 5, x > 8, y = 7 Octant 2. (x – 8)² + (y – 7)² + (z – 8)² > 5 Ball 3. (x – 8)2 + (y – 7)² + (z – 8)² < 5, z > 8 4.1 < (x – 8)? + (y – 7)2 + (z – 8)² < 5 ? v 5. x > 0, z = 7 6. (2 – 8)? + (y – 7)² + (z – 8)² < 5 ? v 7. x < 0, y = 8, z > 0 ? 8. (x – 8)2 + (y – 7)² < 5 ? v 9. x < 0, y > 0, z < 0 v 10. y < 0 ? 11. (x – 8)? + (y – 7)² + (z – 8)² > 5, x = 8 Half_plane 12.0< а<8, —-8 <у <0, —8< <0 13. (x – 8)² + (y – 7)² + (z – 8)² < 5, æ = 8 14. (x – 8)? + (y – 7)² + (z – 8)² < 5, x < 8, z < 8 ? 15. (г — 8)? + (у — 7)? < 5, —1<z<8
Transcribed Image Text:Choose the correct geometric description of the set of points in space whose coordinates satisfy the given combinations of inequalities and equations. Se if you can sketch the set as well. Half_plane 1. (x – 8)? + (y – 7)² + (z – 8)² < 5, x > 8, y = 7 Octant 2. (x – 8)² + (y – 7)² + (z – 8)² > 5 Ball 3. (x – 8)2 + (y – 7)² + (z – 8)² < 5, z > 8 4.1 < (x – 8)? + (y – 7)2 + (z – 8)² < 5 ? v 5. x > 0, z = 7 6. (2 – 8)? + (y – 7)² + (z – 8)² < 5 ? v 7. x < 0, y = 8, z > 0 ? 8. (x – 8)2 + (y – 7)² < 5 ? v 9. x < 0, y > 0, z < 0 v 10. y < 0 ? 11. (x – 8)? + (y – 7)² + (z – 8)² > 5, x = 8 Half_plane 12.0< а<8, —-8 <у <0, —8< <0 13. (x – 8)² + (y – 7)² + (z – 8)² < 5, æ = 8 14. (x – 8)? + (y – 7)² + (z – 8)² < 5, x < 8, z < 8 ? 15. (г — 8)? + (у — 7)? < 5, —1<z<8
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