(a) Let A, B, be subsets of R. State the conditions which make the pair (A, B) Dedekind cut.

Q: Let a = (5, 5, - 3) and b = ( – 5, 3, 0). Find the projection of b onto a. proj¡ b = <

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Q: 4. Give a geometric description of each family of planes.

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Q: An "X" in the table below indicates a direct train route between the corresponding cities. Is it…

A: There are 6 vertices. Let them be named by indicating the first letter of every city.

Q: 1. Consider the finite projective Geometry satisfying the well-known axioms A1-A6 and having two…

A: GivenConsider the finite projectile.Geometry satisfyingthe well known axioms. A1-A6 and havingtwo…

Q: and C) Define the neighborhood system. If X=(e₁,e₂,ez.e. es. e) T= {p,X, (e), (e₂). (e₁,e₂), (e₁,e).…

A:

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: Let x and y be two adjacent vertices in the complete bipartite graph Kn,n,     n ≥ 3. Find the…

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Q: The closure of (-co0,2) in the left ray topology is A) (-c0,2) [B) (-0,2 C) R D) O

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Q: Prove (Menger) if x, y are vertices of a graph G and xy e E(G), then the minimum size of an x,y-cut…

A: Proof: The proof uses induction on n. The theorem is trivial for n=1. Suppose x and y are separated…

Q: 18. Prove that if A, B, and C are any three distinct, collinear points, then either A-B-C, A-C-B, or…

A: Given A, B and C be three points that are distinct and collinear. Distinct means A≠B≠C and collinear…

Q: Let →a=⟨−2,0⟩ and →b=⟨−5,5⟩ Find the projection of →b→ onto →a (   ,   )???

A: Recall: Projection of b→ onto a→ , proja→b→=a→.b→a→.a→a→

Q: . Let P be a point inside an acute angle with vertex A. Let PM and PN denote the perpendiculars from…

A: Consider the given information:

Q: 3. Let A, B, and C be three distinct collinear points such that AC <AB and BC < JAB. Prove that…

A: Let given points be in order A-B-C. But then AC can never be less than or equals to half of AB.…

Q: Let a = (- 4, 5) and b = (4, – 3). Find the projection of b onto a.

A:

Q: 3. Given four points, A, B, C, and D, no three of which are collinear and such that any pair of the…

A: NOTE:- AS PER BARTLEBY GUIDELINES WE ARE ANSWERING FIRST THREE QUESTIONS FOR YOU AS PER BARTLEBY…

Q: The directed line segment whose initial point is the origin is in ________ ________.

A: Our Aim is to tell what the directed line segment is being called whose initial point is the origin.

Q: The arrow diagram below represents a relation. 1 2 3 Figure 1: An arrow diagram shous three…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q:

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

Q: a. Let V = (x, y, z, u, v). How many di exactly 6 edges? (Note that for graphs G₁ = (V, E₁) and G₂ =…

A: (a) We are given that the set of vertices is V=x, y, z, u, v. We are asked to find the number of…

Q: Find the point E that partitions the directed segment CD in a ratio of 1:5, given the points (4.-2)…

A:

Q: Let a = (– 3, – 1, 2) and b = (- 4, – 3, 2). Find the projection of b onto a. proj, b =

A: Use the projection formula for the given vector .

Q: Find the number of paths of length 2 from a to c in the directed graph give a b d a 3 b|1 2 2 1 c| 2…

A: Given that,  The matrix representing the directed graph is    abc  dabcd0230122121101002

Q: Sketch, on an Argand diagram, the locus given by 2-1-√3=1. Find the minimum value of (2+5)* [-62.4°…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: If a graph G has a subgraph H with 1. ĮV(H)| = |V(G)| 2. H is connected 3. Je(H)| = |V(H)| %3D 4. Vu…

A:

Q: Let a = (-1,4, 0) and 6 = (4, 5, - 3). %3D Find the projection of b onto a. Write an exact answer,…

A: The scalar projection of b→ onto a→ is           = a.→b→a→ a→= -1,4,0b→=4,5,-3a.→b→=…

Q: Let a = (4, 1) and b = (2, – 2). Find the projection of b onto a. proja

A: We have to find projection of b→ onto a→ for given vectors a→=4,1 and b→=2,-2 We know the projection…

Q: 3. Determine the classification of the quadrilateral: Vertices are (0,0), (5,2), (10,10), & (0,6)…

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Q: Determine the ratio of the directed line segment AB when partitioned by point P. (Hint: A is the…

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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: mplify ƒ (x, y, z, w) to the simplest form. The Karnaugh map can b

A: Answer:   f(x, y, z, w) = y'w' + yz'w

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: 10. Draw a representation of the Young's Finite Geometry. Name all the lines and determine which…

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Q: (е) а C f е

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Q: An te gr a) Draw K, for n = 1,2,3,4,5. For each, how many edges are there?

A: a)

Q: 2. 2. 2. 2. 2. 2. 2.

A: The given data is:

Q: ming sets is linearly independent? *

A:

Q: Show that if α and β are Dedekind cuts, then so is α + β = {r1 + r1 : r1 ∈ α and r2 ∈ β}.

A:

Q: 2. Consider the directed line segment from M(2,7) to S(10, -4). Points A, R, and K are on MS. (30 27…

A: Given: Directed line segment from M(2,7) to S(10,-4). Points A,R and K are on MS.

Q: 10 What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5, 1) that…

A: We have to find out coordinates

Q: Let A {1,2, 3} and R = {(1,1), (2, 1), (2, 3), (3, 2), (3, 3)}. The number of edges in the…

A: The given set is A={1,2,3} the relation  R is R=1,1,2,1,2,3,3,2,3,3 write the adjacency matrix…

Q: 3. Consider a formula Vr3y3zVuE(x,y) ^ E(x, z) ^ (u = x v ¬E(u, y) V ¬E(u, z)). Here, x, y, z, u E V…

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Q: (29) Which of the follwing graphs is Eulerian ? a) c) d) C- e) 圣 at

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Q: Suppose we assign every element of Z xZ (think coordinate plane) one of three colors: cyan, magenta,…

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Q: a. Let V = (x, y, z, u, v). How many distinct graphs are there on the exactly 6 edges? (Note that…

A: (a) The set of vertices given is as follows: V=x, y, z, u, v We know that the total sum of degrees…

Q: Let a = (4, 0, – 5) and b = (- 2, 5, 2). Find the projection of b onto ä. proją b

A:

Q: 7. Which of the following situations does NOT illustrate combination? a. Selecting two songs from 10…

A: ANSWER OF THIS QUESTION IS OPTION C.

Q: Let a = (- 3, – 5) and b {1, 2). Find the projection of b onto a. proj; b = >

A:

Q: Find the point O that partitions the directed segment MN in a ratio of 2:3, given the points…

A: The coordinates for the directed line segment MN¯ are M(-3, -2) and N(4, 2) Point O is the point…

Q: a. Let V = {x, y, z, u, v}. How many distinct graphs are there on the vertex set V with exactly 6…

A: We have given graph V{x,y,w,u,z} We need to calculate a)graph having 6 edges. b) The trail which is…