1) Consider the following system, use Gauss-Seidel iterative technique to find approximate solutions, starting with x = (0,0,0,0) and check || R² || 2x₂ +8x₂ + 3x3 + x₂ = -2 2x₂-x₂ + 4x₁ = 4 7x₁-2x₂+x₂+2x₁ = 3 -x₁₂ + 5x₂+2x₂ =5

Q: 29. 30. 31. 32. 33. The Fundamental Theorem of Arithmetic states that What conditions, if any, must…

A: As per the guidelines I am answering only one question at a time.

Q: Evaluate the following integral COS Z $, 2 (205 215 2dz, one each of the following closed curves y:…

A:

Q: What is the domain of the function (a) (b) (c) (d) (e) X f(x, y) = √√y₁²-a² + sin¯¹ y + e¯¤ ? {(x,…

A:

Q: calculate the P(E) using Kolmogorov's Axioms for probability functions.

A: Kolmogorov's Axioms are a set of three fundamental principles that form the basis of probability…

Q: -1 d) p(x)=√√4x²-7 e) g(x)=x²2³x-1 T f) p(0) = sin² (40) 2

A:

Q: Find the unit tangent vector T and the principal unit normal vector N for the following…

A:

Q: Z = i+1 then find fourth root

A: Here the equation is given by Z=i+1. The fourth root of the equation has to be determined.

Q: Find the monthly house payments necessary to amortize the following loan. Then calculate the total…

A: To calculate the monthly house payments necessary to amortize the loan, we can use the formula for…

Q: - Mark has 207 hot dogs and 117 hamburgers. He wants to put the same number of hot dogs and…

A: Given that, Mark has 207 hot dogs and 117 hamburgers .

Q: Show that Z12 is not isomorphic to Z2 ⊕ Z6. Recall that ℤ? denotes the abelian cyclic group of order…

A: It has to be proved that Z12 is not isomorphic to Z2 ⊕ Z6. Isomorphism is defined as one-to-one…

Q: Complete the description of how to perform the given subtraction problem. 43 seven - 16 seven Begin…

A: The given problem is                                                      43seven -…

Q: 2. Multiply the matrices as follows b. [A]{C}

A: One must perform the said operations:

Q: Calculate the equation for the plane containing the lines L1  and L2, where L1 is given by the…

A: To find the plane equation, we need a point on the plane and a normal vector to the plane. Find…

Q: Find the specified change-of-coordinates matrix. Let B and C be bases for R², where Find the…

A:

Q: I need the answer as soon as possible please.

A: To find the Hamming Distance (HD) between two binary codes, you need to compare them bit by bit and…

Q: Find a singular value decomposition of the matrix A. 40-4 A 44 4

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Solve the minimization model below using revised simplex: min 4x₁ + 2x₂ + 3x3 st 2x₁ + 3x2 + 4x3 > 9…

A: Revised simplex method: The revised simplex method is technically equivalent to the traditional…

Q: Q38 T Xhas Poisson distribution and P(X = 0) = what is E(X).

A:

Q: O N1-0, N2= -1, N3=1, N4= ON1-0, N2= 1, N3= -1, N4=|| ON1-0, N2= -1, N3=1, N4= ON1-0, N2= 1, N3=-1,…

A:

Q: 6. Prove that the energy of this system tends to zero as t goes to infinity (non-compact resolvent).…

A: note : As per the instructions we will only solve the part 6, 7 of the problem.   As per the…

Q: if two sets are equivalent, they are also equal. True or false

A: Given: Two sets are equivalentTo find: they are also equal or not

Q: Identify the open intervals on which the graph of the function is increasing or decreasing. Assume…

A:

Q: Proble: 2. A tank initially contains 300 liters of brine with 80 kg of dissolved salt. Brine…

A:

Q: Show that these satisfy the relations [(dn−¹, id) o sn-1 (d, id) o sh i-1 n-1 ● nan+1 so do nan+1 ●…

A:

Q: What would be the piecewise function of  f(x)=(x+1)/(8-2x2)

A: Here, the equation is given by f(x)=(x+1)(8-2x2). The piecewise function of the equation has to be…

Q: singular value decomposition of the matrix A. 17) A-[4 40-4 A= -41 44

A: We have to find the singular value decomposition of the matrix A

Q: many black balls are need

A: The correct answer is: 200      N.B: For nth term, we need 2n black balls.

Q: A. When reduced to a linear DE of order one in z, the Bernoulli's equation B. + z(+)=-3x² C. dz…

A:

Q: GIVEN: a>0, a constant; The finite solid, W, with boundary surfaces ₁, 2 Add extra 9₁: z = a² − (x²…

A:

Q: (d) Using presence tables verify that AUB=AU (BNA). (e) Using the results from (e) and (d) and any…

A:

Q: Let f(x,y)=x²y-6y²-3x². Determine the relative extrema and saddle points of f, if any.

A:

Q: 2 1 3 0 2 -1 0 0 2 eigenvectors of A to solve the initial value problem The actual matrix is given A…

A: As per the question we are given a system of 1st order linear differential equations and their…

Q: For the following amount at the given interest rate compounded​ continuously, find​ (c) the time to…

A: A is the final amount =$17,000 P is the principal amount =$5,600 r is the interest rate =3.5%

Q: GIVEN: a > 0, a constant; is the finite region enclosed by AOAB. ΔΟΑΒ: 0 = (0,0), A = (a,0), B = (a,…

A:

Q: Solve: (x+y)dy-(x - y)dx=0 A. x² - 2xy-y²= B. x² + 2xy + y² =c C. x² + y² =c D. x² - 2xy + y² =

A: The given equation is(x+y)dy-(x-y)dx=0 To solve the differential equation.

Q: (iii) S 4x - 3 2x² +8 dx

A:

Q: Consider a simply supported beam of length 6 m subjected to a loading w(x) = 10e-(x-3)² Therefore,…

A: Introduction: The shooting method is a numerical method for solving boundary value problems by…

Q: How can I prove "A graph is k-colourable if and only if it is k-partite.”?

A: As per the question we have to prove that a graph is k-colourable if and only if it is k-partite. To…

Q: Find a plane through the point (-1,-8,-3) and orthogonal to the line Question Help: Video (r(t) =…

A:

Q: Describe all solutions of Ax = b, Describe the general solu -2 A-2 6-5 and b = -1 and 6- 6 0 -8 2-5…

A: A=2-53-26-5-470; b=-26-8 We have to solve for x in Ax=b

Q: Q5/ For the following three groups of equations, determine whether has unique solution, infinite…

A: We determine whether has unique solution, infinite solutions and no solution :- So we using crammer…

Q: 8.9 The volume V of liquid in a spherical tank of radius r is related to the depth h of the liquid…

A:

Q: Find a vector equation for the line through the point P = (-3, 5, -4) and parallel to the vector v =…

A:

Q: 250 The weekly average costs, in dollars, of the We-Are-Drones is given by C = +43+ where 33 where a…

A: For given weekly average cost function and and price for per drone produced we have to find a), b),…

Q: Use the Residue Theorem to show that sin²x ㅠ f² = 0 x2 dx = FIN 2

A:

Q: Given the two planes 2z - x - y = 0 and z + y - x - 1 = 0. Find a parametric equation for the…

A: We have to find a parametric equation for the intersection of two given planes planes. This we can…

Q: Suppose it is known that 1% of the population have dipsydoodleitis. It is also known that a test for…

A: If A and B are two mutually exclusive events and D is a random event, then PA/D=PAPD/APDwhere…

Q: Given ũ × ♬ − (−2,0, –4), find (ũ – 5v) × (ũ +4v). - -28 23/05/2023

A:

Q: Advance maths Prove for an n by n invertible matrix we have A( Adj (A) ) = Det (A) (I), where I is…

A:

Q: 2. The farthest distance a satellite signal can directly reach is the length of the segment tangent…

A: