Consider the directed graph shown in the figure. d What is the number of edges in the given graph? Find the relation between the number of edges, and the in-degree and out-degree. Multiple Choice О The number of edges is 26. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all different. О The number of edges is 26. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all equal. О О The number of edges is 13. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all equal. The number of edges is 13. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all different. Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for it: the sets (x+n❘ne Z} for all x = [0, 1) Multiple Choice о The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R. О The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R. О The given collection of sets does not form a partition of R as the union of these sets is not R. О The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
Consider the directed graph shown in the figure. d What is the number of edges in the given graph? Find the relation between the number of edges, and the in-degree and out-degree. Multiple Choice О The number of edges is 26. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all different. О The number of edges is 26. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all equal. О О The number of edges is 13. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all equal. The number of edges is 13. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all different. Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for it: the sets (x+n❘ne Z} for all x = [0, 1) Multiple Choice о The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R. О The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R. О The given collection of sets does not form a partition of R as the union of these sets is not R. О The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
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:Consider the directed graph shown in the figure.
d
What is the number of edges in the given graph? Find the relation between the number of edges, and the in-degree and out-degree.
Multiple Choice
О
The number of edges is 26. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all different.
О
The number of edges is 26. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all equal.
О
О
The number of edges is 13. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all equal.
The number of edges is 13. The number of edges, the sum of the in-degrees, and the sum of the out-degrees are all different.
Transcribed Image Text:Identify whether the following collections of subsets are partitions of R, the set of real numbers, and the correct reason for
it:
the sets (x+n❘ne Z} for all x = [0, 1)
Multiple Choice
о
The given collection of sets forms a partition of R as these sets are not pairwise disjoint and their union is not R.
О
The given collection of sets forms a partition of R as these sets are pairwise disjoint and their union is R.
О
The given collection of sets does not form a partition of R as the union of these sets is not R.
О
The given collection of sets does not form a partition of R as these sets are not pairwise disjoint.
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