List all of the distinct eigenvalues of A. Enter your answer as a list of numbers separated by commas. -7 3 -14 6 A = λ = ???

Q: 3. (a). Use Laplace transforms and partial fractions to solve y" +4y=8t, y(0)=3, y'(0) = 0.

A: Given  y''+4y=8t, y0=3, y'0=0

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A: Given A is a 2 x 2 matrix has eigenvalue 1.

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Q: 1 A. Using convolution to find L¹ [(5+2)(s+4)].

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Q: 2. 2(2x² + y²) dx - xy dy = 0. ANS. x² = c²(4x² + y²

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Q: What is the contrapositive of the statement below? Vinteger n, if n is odd then n = 2k+1 for some…

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Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

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Q: How many shortest lattice paths start at (5,5) and a. end at (10, 10)? b. end at (10, 10) and pass…

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Q: 15. In a computation with Euler's method, the following results are obtain- ed with various step…

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Q: 1. Prove each of the following results: (a) |zw|=|w-z, Vw, z EC (b) ||zw|≤|zw, w z (c) |z| ≤ Re(z) ≤…

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Q: = Let S be a triangle in R2 with area 4. Let T(x) = Ar where A Find the area of T(S). (122). -2

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Q: Find all the eigenvalues (real and complex) of the matrix The eigenvalues are M = -9 -3 -12 12 6 12…

A: Given Matrix M=-9123-36-2-12126 Eigen value equation M-λI=0

Q: What is the unit rate of $4.25 for 64 fluid ounces?

A: unit rate of $4.25 for 64 fluid ounces?

Q: 8. Consider the IVP y"" = t+y², y(0) = 1, y'(0) = 1, y"(0) = -1. Use Euler's method with step size h…

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Q: Section 14.7: Problem 8 Previous Problem Problem List Next Problem ( , The discriminant fxxfyy-fy is…

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Q: Prove that the function ƒ : (0, ∞) → R defined by ƒ(x) = x³/² = (√x)³ is not uniformly continuous.…

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Q: Prove that.. Cos 57 +isin 3 STT 3 114 ==1

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Q: Section 14.7: Problem 8 Previous Problem Problem List Next Problem ( , The discriminant fxx fyy-fy…

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Q: (b) Suppose gets very large, A" A is a 3 x 3 positive stochastic matrix with the property that as n…

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Q: Solve the equation and sketch the solutions in the complex plane  z5 = -16√3 + 16i

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Q: 13. Which of the graphs is a subgraph of the graph in Fig 9.19? (i) I A (iii) (iv) (v)

A: Please find the answer in next step

Q: Given the points x = -2; x₁ = 0 and x₂ = 1 and let f be a function such that f(x) = 0, f(x₁) = 1 and…

A: Given x0=-2 x1=0 x2=1 fx0=0 fx1=1 fx2=-1

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Q: ● If the pollution index of a point (x, y) is given by p(x, y) = x². Calculate the total pollution…

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Q: What is the P(k+1) statement used in the proof by mathematical induction of the formula: Σ=¹² i(i +…

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Q: *Show that for any x, y ER² we have doo (x,y) ≤ d2(x, y) ≤ di(x, y). Undez d2(x, y)? Under what…

A: To Show:  d∞(x,y)≤d2(x,y)≤d1(x,y). for x,y∈ℝ2. Also we need to examine that under what condition…

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Q: Which of the following numberpls equivalent to the number 2 in a machine arithmetic with N = 10 and…

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Q: 15. The base of a solid is the region in the first quadrant bounded by the graphs of y=x³, x=2 and…

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Q: 3. (True/False) Let f(x, y) be any function of x and y. Then f f sin(f(x, y)) dxdy ≤7. 4.…

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Q: 7.) Write the System System of Tinear equations augmented the variables Jose if applicable…

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Q: Transform the differential equation -3y + 4y - 4y = sin(at) y(0) = Therefore Y = = -4 y = -4 into an…

A: Given -3y''+4y'-4y=sina t Also given y0=-4,   y'0=-4   To transform the equation into an algebraic…

Q: Find all solutions to the equation below in the interval [0, 2π). 4 cos² (0) + 7 = 10 0 = 5T Give…

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