B. Let N be the set of natural numbers, A = {1, },, 1. ..}, B = { : 1 < « < 10, where r 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 = {r € X : P (x)}). For items (12)-(14), Let the mapping F : N→ A be defined as F (r) = . (12) Evaluate F (10) (13) Evaluate 100 F (5) – 20. (14) Is the mapping Fa function? Why or why not?
B. Let N be the set of natural numbers, A = {1, },, 1. ..}, B = { : 1 < « < 10, where r 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 = {r € X : P (x)}). For items (12)-(14), Let the mapping F : N→ A be defined as F (r) = . (12) Evaluate F (10) (13) Evaluate 100 F (5) – 20. (14) Is the mapping Fa function? Why or why not?
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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Transcribed Image Text:B. Let N be the set of natural numbers, A = {1, }, }, 1. .-},B = { : 1 < x < 10, where r E 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 = {r € X : P (x)}).
For items (12)-(14), Let the mapping F : N → A be defined as F (x) = !.
(12) Evaluate F (10)
(13) Evaluate 100 · F (5) – 20.
(14) Is the mapping F a function? Why or why not?
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