a) Let * be the operation on Z defined by a*b= a + b - 3ab for all a,b e Z. Justify the following questions. i. Is (Z,*) a semigroup? ii. Is it commutative?

Q: Find: 2. fx³jo(x)dx

A:

Q: Solve the following equation in the complex number system. Express solutions in both polar and…

A:

Q: 6 9| 7 4 1 3 3 6 Find the determinant of 12 6.

A: Subtract column 1 multiplied by 2 from column 2: C2​=C2​−2C1​. 3691274613=30912-1746-113 Subtract…

Q: Given the vertex set, edge set, and endpoint table below, graph and label the following graph. V(G)…

A:

Q: aw- Let Z[/2] = {a +b/2 |a, b e Z} and let H = { b а 2b : a,b eZ }. a Show that Z[ /2] and H are…

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x3/2 from (0, 0) to (4, 8)

A:

Q: Find A the 3rd power of the adjacency matrix for G. Then answer the questions. V1 v2 es ei e2 e6 V3…

A:

Q: Let -3 -9 A = -3 -8 1 Find an orthonormal basis of the image of A.

A:

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) =…

A:

Q: fn ingot of mas 118 coatains oper ting and ju thẻ patio 9:4:1: (alcuate the alve f the the prie per…

A: Total mass of Ingot = 1148 kg The ratio if weight of copper , tin and lead is 9:4:1 Therefore weight…

Q: Find the determinant using Gaussian Elimination Methoc 5w + 6x - 5y + 11z = 7 10w + 36x + 10y – 17z…

A:

Q: z) = (x2 + then (a + E

A:

Q: higher productivity Eg G Good patch a lower productivity Average patch n Poor patch Travel time…

A: Sol

Q: Show that if f(n) and g (n) are both solutions to a linear homogeneous recurrence equation with…

A: Let the homogenous linear recurrence equation be        an+1 = k1an + k2an-1 + . . . . . . +…

Q: ди k = N k > 0

A:

Q: 1. Let x These vectors form a basis for W = Span{u,, u2, U3}. (a) Find an orthogonal basis for W.…

A: Given vectors are x1=1111x2=0220x3=-1000

Q: estimate the value of x correspond to f(x) = 1.6 Using cubic interpolating polynomial together with…

A: Given data is x 1 2 3 4 f(x) 3.6 1.8 1.2 0.9 The value of x corresponding to f(x) = 1.6…

Q: 1.36 (a) Show that any set of four vectors in R2 is linearly dependent. (b) Is this true for any set…

A:

Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

A:

Q: I. Solve the following. A. If U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, A = {1,2,3,4,5,6,8,10}, B =…

A:

Q: Problem # 3 Find all the roots of the given function. Use preliminary analysis and graphing to find…

A:

Q: equations, use phase flow, initial conditions, ndicate x and y nullclines and equilibria. (if…

A: Sol

Q: 1. Solve by D operator method - 2y + y = x²e3x. d?y dy dx2 dx 2. Solve by method of variation of…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: d?y 2y+y = x²e3x dy 1. Solve by D operator method dx2 dx

A:

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

A:

Q: .9. Which is true for a nonempty subset S of R? O If S is nonempty and sup S exists, then S is…

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

Q: 1. For the matrix game A, 1 2 3 4 6 5 2 7 0 A = 1 1 8 (a) Compute P's security level for X1 = (3,3)…

A: Sol

Q: 6. Milk with 3.8% fat and 8.1% fat-free solids (FFS) is used for the production of canned…

A:

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: Given W be a subspace spanned by the u's, We have to write y as the sum of a vector in W and a…

Q: 2. An initial value problem and its exact solution y(x) are given below. Apply Euler's meu twice to…

A:

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,…

A:

Q: Verify each equation, and express each left member in terms of t: 9. T. p +3 ((p+3)² +1] +1 =T P+2]…

A:

Q: 1. Which of the following is false? * O If x > 0, then 1/x > 0. O If x > 1, then x^2 > x. O Ifx< y,…

A: We have to find the correct option from the given options.

Q: 2y-x = x + 3y + e', 3x' - 4y' = x – 15y + e- |

A:

Q: Aunt May recently learned about discrete probability. She performed a random experiment of rolling a…

A: Total number ofoutcome for rolling a die three times = 6×6×6 = 216

Q: find the independent dominating set for : Cn kn m,n

A: A dominating set of a graph G is a set S of vertices of G such that every vertex not in S is…

Q: В -21 72 57 29 16 65 84 А 33 -19 D 91 81 47 102 F E 25

A:

Q: Select the statement that is the converse of "If I had a hamm the morning." O If I didn't have a…

A: We know the converse of  statement "if p then q" is "if q, then p."

Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

A:

Q: represent the argument symbolically; determine whether the argument is valid or invalid (justify…

A:

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

A:

Q: 1. Given: A= 1 B = 2 1 C = 2 1 4 4 7. 4 6. 1 6 2 4 2. D = 2. E = 6. F = 1 2. u = Evaluate if…

A:

Q: d?y 20 +y = x²e3x. dy 1. Solve by D operator method dx2 dx

A:

Q: Question 5 Find the area of the region enclosed by the curves *=2y3 – 8y2+6y, x=y2-y (A) 12.72 B)…

A:

Q: references of both individuals be given by log(Ci) + ¿ log(C2). Suppose that ndowment vectors are wA…

A: Sol

Q: bauk_at fopllof $20,g00 kiļuin the adreed date of fayment. fu fon nall ke pre mecpanical eugineer…

A: #Since the type of interest is not mentioned , taking the interest is compounded annually  The…

Q: 14. Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field: F =…

A:

Q: What is the maximum total weight of a Hamiltonian Circuit, starting from vertex A in the given…

A:

Q: 3. 2х, X2 = 2 4. 4x, + х х, — Зх, + х; 3 —2 -x, + x2 - 3xz x – 7x 3x1

A: Q3 asked and answered.

Q: Show that Z[V-2] is a Euclidean Domain with respect to the norm N defined by N(a + by-2) = a² + 2b².…

A: This is a problem of abstract algebra.