I. Use Gauss-Jordan elimination to transform the matrix in reduced row echelon form. 1 -3 -6 5 -21 2 -2 -1 1 -2 -3 3 -1 1 4 5 -9

Q: 1 Q5. Fact: the series S = > converges by virtue of the Integral Test. m(ln m)4 m=3 According to the…

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Q: Because simple interest is used on short-term notes, the time period is often given in days rather…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

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

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Q: Find a subgraph H of the graph G given below that has 4 vertices and 3 edges.

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Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A: Given Red marbles = 8 Blue marbles = 7

Q: A fair die is rolled four times. What is the probability of obtaining a 5, 3, 5, and 5, in that​…

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Q: The frog population in a small pond grows exponentially. The current population is 95 frogs, and the…

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Q: of D'? Point E(3, 3) is reflected in the line x = -2. What are the coordinates of E'? 6 Point F(8,…

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Q: Fined all eigen values and eigen vectors of the matrix and check that P'ẠP is diagonal matrix 8 - 8…

A: Solve A-λI=0 to find the Eigen values.

Q: show that (0.1)with usual topology is connected

A: Sol

Q: 1. The area B is given by y? В — 3 (x, y, z) E R² | < 1, 2 = x . Assign Stokes' integral theorem for…

A: Sol

Q: x3 – 2x2 – 5 = 0, [1,4]

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Q: An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields…

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Q: 2.Use polar coordinate to evaluate 1 SS dA where Ris the region bounded 2 1+ x + y R by circles each…

A: Double integration by using polar coordinates

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 an equation of the plane. the plane that passes through the point (1, 5, 1) and is…

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Q: For any element z e Z,, let z denote 1 + , so that 2 is 0 when r is 1 and a is 1 when r is zero. Let…

A: We are given the following information. For any element x∈ℤ2, let x¯ denote 1+x, so that x¯ is 0…

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

A: Sol

Q: (3,0,7) J (1,1,1), dr Exercise 96. (1,-1,2)

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Q: istance of magnitude directed oPposite to the velocity, 1325 the velocity v is measured in m/s. Use…

A: Sol

Q: 1 Q5. Fact: the series S = > converges by virtue of the Integral Test. m(ln m)4 m=3 According to the…

A: We have to find the upper bound for remainder.

Q: Use a truth table to check whether the following are tautologies, contradictions, or neither. (а)…

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Q: Q1. Let R be the region enclosed by the curve y = 3x+et and the lines x = 1, x = 2, and y = 0 Let S…

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Q: Trees Draw a tree on 6 vertices where all but one vertex has degree 1.

A: We have to draw a tree of 6 vertices.

Q: and x + Ax m. To earn full marks: • You must draw and clearly label a diagram. You must show all…

A: Sol

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform cos(t), f(t) = to, 0st 0)

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Q: a) Find the number of walks of length 3 between each distinct pair of vertices. p) There is 1 walk…

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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: Ref for convergent lom to (Xn)neN ) Xx = lim X cL C1), LER. %3D n→め Strow for any sequen ce of…

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Q: OnCourse Connect To do | Great Minds Digital x My Apps sources a…

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Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

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Q: Suppose that a 2 × 2 matrix A has an eigenvalue 2 with corresponding eigenvector and an eigenvalue…

A: Eigenvalue and matrix P for diagonalization

Q: A manufacturing process produces a critical part of the average length 110 ​millimeters, with a…

A: Given: We have given critical average length 110 with standard deviation 2. We need to calculate…

Q: 1. Solve the Inverse Laplace Transforms 3s + 8 s2 + 2s + 5

A: We have to find the inverse Laplace transform ℒ-13s+8s2+2s+5.

Q: Verify Green's Theorem by evaluating both integrals Lv? dx +. - x² dy dA ay ax for the given path.…

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

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Q: Determine two linearly independent power series solutions centered at x = 0. y" +2x²y'+2xy = 0

A: We determine two linearly independent power series solutions of the given differential equation…

Q: Which of the following situation illustrates permutation? choosing to literature books to buy in a…

A: Solution

Q: orientation of the graph. n f k d. 60

A: Sol

Q: The yaph Gf figet.4oinknewn os the petersen-graph Fined inG taja trait of tength 5- (b)a poth af…

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Q: Evaluate t=0.01, Given: 21' + 20I = 100sin(150t) Round-off to 3 decimal places.

A: Given differential equation is2I'+20I=100sin150tI is evaluated at t=0.01 as shown below.

Q: Consider the IVP: x" + 3x' +2x = 4t2; x(0) = 0, x'(0) = 0. Find the general solution. 4 6. 7 + s+1 8…

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

A: the vertex set is  given and the edges are given

Q: Let and , be two perpendicular circles with centers at O, and O respectively. Show that the inverse…

A: Sol

Q: The average processing time of a kiosk in a McDonald's store is 4.5 minutes, and there are 3 kiosks.…

A: Arrival rate, λ = 60/2.5 = 24 per hour Service rate, μ = 60/4.5 = 13.33 per hour λ/μ = 24/13.33 =…

Q: Prove by conventional integration that the Laplace transform of the given function is equal to the…

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Q: In C(11,r)=165, what is the value of r? 9 only 8 only 2 and 9 3 and 8

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Q: 6. Solve using Laplace transforms: y' + 3y = e5t, y(0) = 2

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Q: Consider the Sturm-Liouville system y" + 2y + (1+)y = 0, y(0) = 0, y(L) = 0; 0 0 is a non negative…

A: Given the Sturm-Liouville problem y"+2y'+1+λy=0, y'0=y'L=0, 0&lt;x&lt;L. Also, λ≥0 is a non-negative…