What is the transitive closure of the following graph? a

Q: Let G = (V, E) be a graph with V = {a, b, c, d, e, ƒ} and E = {{a,b}, {a, d},{a, c}, {c, b}, {e, b},…

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Q: Find an orthonormal basis of the plane ¤1+ 6x2 – T3 = 0.

A: Orthonormal basis of the plane

Q: Problem 4 The helix r(t) = (cos(at/2), sin(rt/2), t) intersects the sphere x2 + y2 + z2 = 2 in two…

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Q: f(x, y) = y(e* – 1) local maximum value(s) local minimum value(s) saddle point(s) (x, y) = %3D

A: Given function is f(x, y) = y(ex-1)

Q: Consider the normal distribution with mean 68 and standard deviation 10. Find the area under the…

A: We want to find area under the normal curve in the given interval.

Q: Consider the following Statement : : For the ODE: 2x²y" – xy' +(1–x²)y = 0; roots of indicial…

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Q: Let -5 1 0.5 4 –2 -1 -17] Use the Gram-Schmidt process to determine an orthonormal basis for the…

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Q: Tell whether or not the statement is always true for a particular finite geometry. Statement 3-Point…

A: Given,Statements are given in the tabular form for a particular finite geometry. To check whether or…

Q: model of consumption/saving decisions, with house- hold lifetime utility given by U = In(c1) +…

A: Sol

Q: Find a basis and dimension of the solution set to the system 2.x1 + x2 + x3 + x4 = 0 2.x1 – 3x2 –…

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Q: [-2 2 -31 d the eigenvalues and eigenvectors of matrix A = 2 1 -6 [-1 -2 tyned answers are…

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Q: 1. Solve by D operator method dx2 +y = x e dx

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Q: he curve y = X fc (vî (yi

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Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 d²y + 2y = e*. 4. Evaluate L(sint - cos t)2.…

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Q: Let f:A→B. Prove that if X⊆A and f is injective, then f(A−X) =f(A)−f(X)

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Q: Use the graph G below to answer the questions. V1 v2 ei e2 V3 V7 ез eii e6

A: If two vertices are connected by an edge, then the vertices are adjacent Therefore the vertices that…

Q: EXAMPLE 4.4 Ans: 3 Given the following data: -1 3 y3Df(x} Approximate f(2) by using Newton's divided…

A: We approximate f(2) by using Newton's divided difference interpolation.

Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: 1. Solve by D operator method d?y - 2y+y x2e 3x dx2 dx Solve bu

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Q: Find the general solution of the given system. dx = X + y- z dt %3D dy бу dt dz = y - z dt

A: The solution is given as

Q: onti at t=2 & cx) = 6 r X <2 メー 3メ+2 /25メ<3 is fis wnti at

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Q: 2. Using the given pairs of x and f(x), construct a an appropriate table (difference or divided…

A: We have to find f(5) and the equation of the polynomial that will fit the given points.

Q: I. Use Gauss-Jordan elimination to transform the matrix in reduced row echelon form. 1 -3 -6 5 -21 2…

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Q: tion z2 – (x2 + y2)2 and let p = (0, 0, 0). ermine the set Tp(Zf ) of all tangent prs to Zf at p. Is…

A: Sol

Q: Describe the graph of the equation. r = 16 cos ti + 7 sin tj - k O It is an ellipse in the x = -1…

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Q: Find the Inverse Laplace Transform of the following functions 1 2) F(s) = s' +4s 8 4) F(s) =- 4 -…

A: Division by s property is used to find inverse Laplace transform

Q: ). Determine the set Tp(Zf) of all tangent vectors to Zf at p. Is dim Tp(S) m ker d f.?

A: Sol

Q: 1. Find the solution of the system of linear equation using GAUSS-JORDAN ELIMINATION. If the results…

A: As per Bartleby guidelines we're supported to answer only one question when two or more questions…

Q: A Living a pom is 7:2m fog and 15 m wide. what ire gresesd wald 7 be of a joale plan qucun p a feale…

A: The given length of the room is 7.2 m. The given width of the room is 4.5 m. We need to find the…

Q: 1) Find the eigenvalues and eigenvector of the given matrix A= Only typed answers are acceptable.…

A: The given matrix is A=-522-2 The characteristic equation is…

Q: A bacteria culture initially contains 1600 bacteria and doubles every half an hour. Find the size of…

A: Solution:

Q: Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line…

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Q: 7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n ) c R, what is the %3D…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Evaluate (107/137). You may assume without proof that 107 and 137 are prime numbers. Show all of…

A: Quadratic Raciprocity is used

Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

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Q: Bruijn graph and identify an Euler path hence -mbling the original sequence from which they e…

A: Sol

Q: Evaluate the Laplace transform of tcos2t. O a. 6s2+ 24s+ 26 s°[(s+3)? +4} O b. s?+25 (s? – 49)? O c.…

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Q: An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to…

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Q: 6. Use Laplace transforms to solve the initial value problem, 4t, 0<t<1 y' +2y = f(t), y(0) = 0,…

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Q: Describe the graph of the equation. r = 2 cos t i - 9 sin t j + k O An ellipse in the plane z = 1,…

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Q: Incidence Matrices the Incidence matrix of the graph below. V1 v2 es ei e2 e6 V3 V4 ез e4 V5 G

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Q: Solve by method of variation of parameter d?y -2 = ex sin x. dx2 dx Solve the Cauchy-Euler equation…

A: We have to solve the given differential equation be variation of parameter method.

Q: sin x – e-* = 0, [0,1]

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Q: 3. f(x) = 4х+5 %3D 9-3х A. x =-1 %3D В. х 3D0 C. x = 3

A: Ques (3) We need to check the continuity and differentiability of f(x)=4x+59-3x at the three given…

Q: Question 1 Given that f (x) = x? – 3 %3D - and g (x) = 3x +2, what is (f– 2g) (-3) equal to? -6 -60…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: 10. If we have two different non-crossing drawings of the same connected graph, is it possible for…

A: 10. For a connected planar graph, the below equation is always followed.        v - e + f = 2 Here,…

Q: Question 4. Use Taylor's Theorem to estimate sin(3) to within 1/60.

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Q: Find the vertex set, edge set, and edge endpoint table of the digraph G. e1 V2 V1 e5 e6 ez e7 e4 e8

A: Given a graph with edges and vertices as shown above. To find the vertex set, edge set and edge end…

Q: Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of Rª spanned by #,…

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