Fill in the following table: Sets Limit Points Isolated Points Bounded (Yes or No) Closed (Yes or No) Open (Yes or No) A={(x,y)| x2+y2 ≤ 1} B={(x,y)| 0 < x2+y2 ≤ 1} C={(x,y)| 0 < x2+y2 < 1} D={(x,y)| .5 < x2+y2 < 1} ⋃ {(0,0)} E={(x,y)| 0 < x < 2, y=1 } F={(x,y)| 0 ≤ x ≤ 2, 0 ≤ y ≤ 1} G={(x,y)| 1 ≤ x, 1 ≤ y ≤ 2} H={(0,0),(0,1),(1,0)} I={(x,y)| y=sin(x)}
Fill in the following table: Sets Limit Points Isolated Points Bounded (Yes or No) Closed (Yes or No) Open (Yes or No) A={(x,y)| x2+y2 ≤ 1} B={(x,y)| 0 < x2+y2 ≤ 1} C={(x,y)| 0 < x2+y2 < 1} D={(x,y)| .5 < x2+y2 < 1} ⋃ {(0,0)} E={(x,y)| 0 < x < 2, y=1 } F={(x,y)| 0 ≤ x ≤ 2, 0 ≤ y ≤ 1} G={(x,y)| 1 ≤ x, 1 ≤ y ≤ 2} H={(0,0),(0,1),(1,0)} I={(x,y)| y=sin(x)}
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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Fill in the following table:
Sets | Limit Points | Isolated Points | Bounded (Yes or No) | Closed (Yes or No) |
Open (Yes or No) |
A={(x,y)| x2+y2 ≤ 1} | |||||
B={(x,y)| 0 < x2+y2 ≤ 1} | |||||
C={(x,y)| 0 < x2+y2 < 1} | |||||
D={(x,y)| .5 < x2+y2 < 1} ⋃ {(0,0)} | |||||
E={(x,y)| 0 < x < 2, y=1 } | |||||
F={(x,y)| 0 ≤ x ≤ 2, 0 ≤ y ≤ 1} | |||||
G={(x,y)| 1 ≤ x, 1 ≤ y ≤ 2} | |||||
H={(0,0),(0,1),(1,0)} | |||||
I={(x,y)| y=sin(x)} |
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