Consider the relation on A = {a, b, c, d, e} given by R ={(a,b),(b,c),(b,d),(b,e),(d,e)} .Explain why R fails to be a %3D (rooted, directed) tree.

Q: Suppose z = f (u) and u = g(x,y). Draw a tree diagram az əz and use it to construct chain rules that…

A: The aim is to show that with respect to x and . The tree diagram is,

Q: Let d be the highest degree of any vertex in a tree T, and let l be the number of leaves of T. What…

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Q: Complete the tree diagram by filling in the missing entries below. 0.0351 Case A 0.27 Case B 0.73…

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Q: Suppose z = f(u) and u = g(x, y). Draw a tree diagram əz and use it to construct chain rules that…

A: z=fu     ;        u=gx, y…

Q: Select the set that corresponds to the relation given in the arrow diagram below: A 1 C . 3. O {{A,…

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Q: draw a tree diagra w : fLx, y,z,N n and write chain rule! ニ y = f lu,v) , Z=f lu,V), N= f (u,V).

A: Here we will draw tree diagram and write chain rule,

Q: Given a relation, R on A = {a, b, c, d} on as follows: R = {(а, а), (а, b), (а, d), (b, b), (b, с),…

A: Relation as a Matrix: Let A = {a1,a2,a3,.......am} and B = {b1,b2,b3......bn} are two finite sets,…

Q: 4. Consider the relation R = {(-3, –3), (-3, –5), (-5, –7), (–7, –3), (–7, –7)} on the set А 3D {-1,…

A: We have to  (a) To Draw Directed Graph.  (b) To find R2=RoR.

Q: 6. List the ordered pairs in the relation represented by the following directed graph: 2 4 3

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Q: Q3: Let A = {a, b, c, d} and define relations Ri. R, Rs, and Ri on A, what would be their directed…

A: As per bartleby guidelines for more than three subparts in a question only first three should be…

Q: Given the relation R = {(1,2), (1,3), (2,4), (3,1), (4,2), (5,4)} on the set S = {1,2,3,4,5}. a)…

A: Given R=1,2,1,3,2,4,3,1,4,2,5,4.

Q: Is the relation with the directed graphs shown below an equivalence relation? 4. 6.

A: Let  A be a nonempty set. A relation ~ on the set A is an equivalence relation provided that ~ is…

Q: (a) If T is a tree with at least 2 vertices, show that x(T) = 2.

A: The given solution is only for part (a) of the question, please resubmit rest of the parts as…

Q: Define a relation R, on the set A = (0, 1, 2, 3) as follows. R, = {(0, 0), (0, 1), (1, 1), (1, 2),…

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Q: Pick a set of five vertices of H and draw the subgraph induced by that set of vertices H: X10

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Q: let A= {a, b, c, d} and R= { (a,a), (a, c),(b,d),(c,a),(c,c),(d,b)} be a relation on A. draw a…

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Q: Find c such that (4,−1),(−1,−8), and (c,−6) lie on a line. c=

A: We have to find the value of c such that the given three points will lie on a line.

Q: 6. Which of the next sets establish a bipartition of the graph in Fig.1? a) {a, h, g, b, f} and {i,…

A: To determine which of the given sets establish a bipartition of the graph. Here we will use the…

Q: Based on the following tree, give the result of traversal order. т M A E R K D w N H a) Preorder b)…

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Q: Consider the traffic flow diagram that follows, where a1, a2, a3, a4, b1, b2, b3, b4 are fixed posi-…

A: The complete solution is in given below

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A: To find- Which of the following relations represented by the directed graph is symmetric?   Concept…

Q: Find the sets of dominant vertices

A: The graph given is as follows:

Q: Give an example of a tree with 6 vertices whose degrees are 1, 1, 1, 2, 2, and 3. Choose the correct…

A: Graph: A graph is defined as G = (V, E) Where V is a set of all vertices and E is a set of all edges…

Q: Consider the Datalog programs P1 (left) and P2 (right) below, which use relations R(A, B) and S(A,…

A: Option (B) is correct because T3 and T4 include same set of tuples

Q: Consider the fuzzy graph on vertices a,b,c where o(a)=0.5,0(b)=0.25,0(c)=1 and…

A: It is known that, the complement of a fuzzy graph. G:σ,μ is a fuzzy graph G:σ,μwhere σ=σ and…

Q: 43.Given that Tree A is bipartite, which of the following gives the grouping of the vertices of Tree…

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Q: 5. Draw a directed graph for the relation with coordinate pairs (a, b), (a, d), (b, b), (b, d), (c,…

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Q: Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d),…

A: We need to identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b),…

Q: Construct a KD tree for the following points. (17, 15)(2, 7)(13, 15)(9, 1)(6, 12)(3, 6)(10, 19)

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Q: Let A, = (1, 2), A2 = (x, y, z), As = {a, b}. Find the following Cartesian %3D products. 1. AxA,.…

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Q: Let R be a total relation on a set of 15 elements. Then the number of ordered pairs in R is equal…

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Q: Determine if the set is linearly independent. S = {(4,0,1), (0, -3,2), (5,10,0)}

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Q: Write out the Chain Rule using a tree diagram to find and where w = f(x, y, z) and x = x(r, s), ar…

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Q: In the figure on the right, D, E, and F are distinct points in the terior of AABC, C-D-E and B-C-F.…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Assume a directed acyclic graph is encoded as a relation R. Give a concise proposition stating that…

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Q: Consider a bipartite graph on the set A = {1,2,3,4,5,6} and B = {7,8,9,10,11,12}, where there is an…

A: Given: A bipartite graph is defined on set A={1,2,3,4,5,6} and    B={7,8,9,10,11,12}. Here there is…

Q: Determine using a tree whether the following argument is valid. If it is not valid, read off a…

A: Step 1 of 2:)   The argument is valid or consistent if and only if there is some truth value…

Q: . Use a tree diagram to write out the Chain Rule for the R= f(u,v, w), where u = u(p,q,r, s), v =…

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Q: Let t = "The tree is tall," g = "The tree has green leaves," and r = "The tree has red leaves." %3D

A: We will answer the first one since we answer only one question a a time. please resubmit the second…

Q: Find c such that (5,−9)(6,3), and (c,8) lie on a line. c=

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Q: Draw the Hasse diagram for R.

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Q: Choose the mapping diagram of this set of ordered pairs: {(6, 12), (12, 24), (18, 36), (24, 48),…

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Q: Consider the relation R = {(a, 6), (6, 6), (6, c), (c, b), (c, c), (d, a), (d, c), (d, d)} on {a, 6,…

A: Given: R=a,b,b,b,b,c,c,b,c,c,d,a,d,c,d,d (a) Diagraph of R is as follows:

Q: Draw a directed graph (digraph) for the relation on {1,2,3,4} {(1,1), (1,4), (2,2), (3,3), (4,1)

A: From the given relation {(1,1), (1,4), (2,2), (3,3), (4,1)} on {1,2,3,4}, draw a directed graph.…

Q: dw dw dw de, ee de

A: Three diagram of given function w is shown in the given below photo

Q: Let E be the set of edges in the directed graph below, and let V be the set of vertices. Define a…

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Q: Consider the rooted tree T: P E D R F Name the decedents of D. B N G S M K

A: The rotted tree: T is provided. We need to determine the descendants of D.

Q: 8. For the directed multigraph below, determine the total number of vertices and edges, find the…

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Q: How many edges are in the graph with n nodes where every pair of nodes are joined by an edge? Prove…

A: Given To find the number of edges are in the graph with n nodes where every pair of nodes are joined…

Q: A Hamilton path of the graph K, is K, z a (w, х, 2, у, t, у, z, 5) b (x, W, S, z, t, y) (X, z, t, y,…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.