For the last question you will be finding a minimum distance spanning tree; take your graph from (1) and add to it the cities of Quincy and Marion. The distance from Quincy to Springfield is 111 miles and the distance from Mount Vernon to Marion is 46 miles; include these new edges on your graph from (1) for the last question (6) A new broadband internet company wishes to lay fiber optic cable down so that every city in will be connected. Find the minimum amount of cable that can be used for this connection; use Kruskal's Algorithm, show the tree on the map, and give the minimum amount needed. 11 (1

Q: For the following exercises, describe and graph the set of points that satisfies the given equation.…

A: For this equation : (y-5)(z-6) = 0 y = 5 ; it means xz plane where y = 5 z = 6 ; it means xy plane…

Q: 1. Find the smallest number of colors needed to color the faces of the following graph properly.…

A: To find the minimum number of colors needed to color the faces of the given graph.

Q: 2. The figure below shows the layout of a neighborhood where mailboxes are placed along one side of…

A: Given the figure shows the layout of a neighborhood where mailboxes are along one side of the…

Q: f(x) = x² -5 5 5 X

A: Given function  f(x)=xx2+8 To draw the graph, lets find its properties.

Q: Give the equation for each graph. 5+ 4 3 2 -5 -4 -3 -2 -1 7 1 2 3 4 5

A: The equation for the first  graph  x = -4

Q: If you drew a graph of this map what would be the degree of ACT? See attached.

A: First we find the graph of the map

Q: Exercise. 1. Graph 3x – 4y = 12.

A:

Q: 2. shift the graph 2 units to the left and then reflect it vertically 3 -2 2

A: We have to draw new graph after shifting and reflect.

Q: illi. Graph A Graph B Graph C

A: We will tell you about shape of the graph.

Q: create a graph using the calculations that answer the question

A: According to problem, we have, p=45-0.0125x R(x)=45x-0.0125x2

Q: Draw another representation of the graph that looks significantly different B A C E D А В D E А В C…

A: All the graph are having 5 vertices and all the vertices are connected with at least two vertices.…

Q: Which of the following is true? А. lim Ax) =- and lim fx)=-0 x→ 3- x → 3* В. lim f(x) = -00 and lim…

A:

Q: Determine whether these two graphs are isomorphic. Explain why or why not. a b h d G

A: We see, in H, swxyzvuts is a 8-cycle. But, in G, maximum length cycle is 6-cycle. that is girth of G…

Q: 4. 10 5. 6. A. x? 4 y? 1 y? 1 4 16 C. 4y? – 22 1 D. x? 4y? 1 %3D E. y? -4x2 1 y? F. 4 16 || |||| B.

A:

Q: The following graph shows the point 5m 2, 4

A: Given: Standard cocentric circle with x2+y2=r2where r=1,2,3,4,and 5 and the given point situvated on…