Determine whether the following statement makes sense or does not make sense, and explain your reasoning. Starting from my home, I need to go to the post office, the…
Category: Discrete Mathematics
Problem 1079
Use Kruskal’s Algorithm to find the minimum spanning tree for the weighted graph. Give the total weight of the minimum spanning tree. Solution:- Step 1. Find the edge with…
Problem 1078
Find a spanning tree for the connected graph. Solution:- Given a graph, a sub graph is a set vertices and edges chosen from those of the original graph. A…
Problem 1077
Determine whether the graph is a tree. If the graph is not a tree, given the reason why. Solution:- Definition and Properties of a Tree A tree is a…
Problem 1076
Determine whether the graph is a tree. If the graph is not a tree, give the reason why. Solution:- A tree is a graph that is connected and has…
Problem 1075
Determine whether the following statement is true or false. A tree is a complete graph. Solution:- The statement is false. A tree does not have an edge between…
Problem 1074
Fill in the blank so the resulting statement is true. A tree that is created from another connected graph and that contains all of the connected graph’s vertices, is connected,…
Problem 718
Find the eccentricity of the ellipse Solution:- eccentricity of the ellipse = c = c = c= c = eccentricity =
Problem 713
Find (x3 – 5×2 -2) ÷ (x-1) using synthetic division. Solution:- x – 1 │ 1 -5 0 -2 │ 0 1 -4 -4 ——————- 1 -4 -4…
Problem 594
Find the four geometric means between 4 and 972 Solution:- 4 = 972 = 243 r = 3 So the four geometric means are 12, 36, 108 and 324.
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