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B. Let N be the set of natural numbers, A = {1, , , , ...}, B = { ½ : 1 ≤ x ≤ 10, where a € N} . (10) State explicitly the elements of the set B (write set B in set-roster notation). (11) Write set A in set-builder notation (follow the format A = {x EX : P(x)}).

B. Let N be the set of natural numbers, A = {1, , , , ...}, B = { ½ : 1 ≤ x ≤ 10, where a € N} . (10) State explicitly the elements of the set B (write set B in set-roster notation). (11) Write set A in set-builder notation (follow the format A = {x EX : P(x)}).

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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B. Let N be the set of natural numbers, A = {1, 2, 3, 4, ... 1 1 1 ·}, B = { ¹ : 1 ≤ x ≤ 10, where x EN}. (10) State explicitly the elements of the set B (write set B in set-roster notation). (11) Write set A in set-builder notation (follow the format A = {x EX : P(x)}). For items (12)-(14), Let the mapping F: N→A be defined as F(x) = ¹. (12) Evaluate F (10) (13) Evaluate 100 F (5) - 20. . (14) Is the mapping F a function? Why or why not? ANSWER ONLY 10-11
Transcribed Image Text:B. Let N be the set of natural numbers, A = {1, 2, 3, 4, ... 1 1 1 ·}, B = { ¹ : 1 ≤ x ≤ 10, where x EN}. (10) State explicitly the elements of the set B (write set B in set-roster notation). (11) Write set A in set-builder notation (follow the format A = {x EX : P(x)}). For items (12)-(14), Let the mapping F: N→A be defined as F(x) = ¹. (12) Evaluate F (10) (13) Evaluate 100 F (5) - 20. . (14) Is the mapping F a function? Why or why not? ANSWER ONLY 10-11
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