content.blackboardcdn.com/5ddee2fc8b3b3/89497549?X-Blackboard-S3-Bucket-learn-us-east-1-prod-fleet01-xythos&X-Blackboard Question 1 1/2 |- 128% + +囧》 Let be a relation from R to R defined as follows R = {(x, y) = RxR: X+2 = 1}. y-3 Describe the domain and the range of the relation R. Question 2 Let A = {1, 2, 3, 4, 5} and R = {(4, 1), (2, 1), (3, 2)}. Describe the domain and the range of the relation R. Question 3. Let R be the set of real numbers and let R be a relation defined on R as follows 1 VxyeR XRy if and only if 3 sin x + cos y = . 2 Find the inverse R-1 of the relation R. Question 4. Let N be the set of positive integers and let be a relation on N defined as follows 3 V xyEN Xy if and only if x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 1
1/2 |- 128% +
+囧》
Let be a relation from R to R defined as follows
R = {(x, y) = RxR:
X+2
= 1}.
y-3
Describe the domain and the range of the relation R.
Question 2
Let A = {1, 2, 3, 4, 5} and
R = {(4, 1), (2, 1), (3, 2)}.
Describe the domain and the range of the relation R.
Question 3.
Let R be the set of real numbers and let R be a relation defined on R as follows
1
VxyeR XRy if and only if 3 sin x + cos y = .
2
Find the inverse R-1 of the relation R.
Question 4.
Let N be the set of positive integers and let be a relation on N defined as follows
3
V
xyEN Xy if and only if x <y.
if xsy
Is the relation
2
~ reflexive? is it symmetric? is it transitive? Justify you answers.
Questions 5.
Let Z be the set of integers and Jet R be a relation on Z defined as follows
Q Search
prt sc
home
end
insert
delete
backspace
Transcribed Image Text:content.blackboardcdn.com/5ddee2fc8b3b3/89497549?X-Blackboard-S3-Bucket-learn-us-east-1-prod-fleet01-xythos&X-Blackboard Question 1 1/2 |- 128% + +囧》 Let be a relation from R to R defined as follows R = {(x, y) = RxR: X+2 = 1}. y-3 Describe the domain and the range of the relation R. Question 2 Let A = {1, 2, 3, 4, 5} and R = {(4, 1), (2, 1), (3, 2)}. Describe the domain and the range of the relation R. Question 3. Let R be the set of real numbers and let R be a relation defined on R as follows 1 VxyeR XRy if and only if 3 sin x + cos y = . 2 Find the inverse R-1 of the relation R. Question 4. Let N be the set of positive integers and let be a relation on N defined as follows 3 V xyEN Xy if and only if x <y. if xsy Is the relation 2 ~ reflexive? is it symmetric? is it transitive? Justify you answers. Questions 5. Let Z be the set of integers and Jet R be a relation on Z defined as follows Q Search prt sc home end insert delete backspace
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