If possible, find a single matrix equal to the fo -2 9 (a) 5

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Q: 2. Given the matrix A below, 1 10 1 0 2 1 2 A = 2 10 1 L2 0 1 4 solve for det inv A.

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Q: QUESTION 3 Show that if G is Abelian then in the mapping :G→G given by o(x) = xis an isomorphism.

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Q: 2. If the density of a random variable R is zero for x¢ the finite interval [a, b], show that NR(s)…

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Q: Fill in with the missing integers given that each of the matrices below is diagonalizable. (a) If A…

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Q: Mark each statement True or False. Justify each answer. (a) If (sn) and (t„) are convergent…

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Q: Evaluate a. [(AC)B"]– D". b. [(BD) "C"]A

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Q: Example 1.4.1 As an easy exercise, check that you be- lim [0, 1- 1/n] = [0, 1 lim [0, 1 – 1/n) = [0,…

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Q: 6. An average earthquake measures 4.5 on the Richter scale. a. How much more intense is an…

A: The complete solution is in given below.

Q: Find the Inverse Laplace Transform. F (s) = 6s-54 82 +16

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Q: . Solve the variational problem v +2y (x +y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: positions using Rules of Logical Equivalences. Do not forget to indic (pA q) (p → q)

A: INTRODUCTION: The formula of logical equivalence is given by, p→q⇔~p∨q~(p∧q)⇔~p∨~qp∨p⇔p

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Q: Let f and g be any permutations. Show that the order of h=fgf^(-1) is the same as the order of g.

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Q: A stone is tossed into the air from ground level with an initial velocity of 35 m/s. Its height at…

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Q: . Draw a graph with 4 vertices each of degree 2.

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Q: Paluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x and x = y…

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Q: If my recipe calls for 65 lbs of cubed sweet potato, and it has a yield of 75%, how many whole…

A: Given, recipe calls for 65 lbs of cubed sweet potato, with a yield of 75% .

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Q: then the eigenvalue corresponding to the eigenvector v is

A: We have to find the eigenvalue of that given matrix whose corresponding eigenvector is [1 0 1]

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Q: (1) Let G: R → R? be a differentiable function such that G(1, -1,3) = (2,5) and DG(1, –1,3) = 1 -1 4…

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Q: Let f be defined on a neighborhood of xo. Show that if ø is defined on a neighborhood of to and…

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Q: 4) z = loge(7 + j)*

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Q: Find the Inverse Laplace Transform. Y (s) (s-5) (s² -6s +25) O est cos(4t) – e3t sin(4t) O est…

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Q: If f(x) = mx where m is a constant then what can you say about - (2) dr ? It is positive We cannot…

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Q: 1. Set up triple integrals in spherical coordinates that compute the volumes of the following…

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Q: Divide:(9x2 + 6x) ÷ 3x

A: We know , 1.(a+b) ÷ c = (a+b)/c = (a/c)+(b/c) 2. am/an= am-n 3. ao = 1

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Q: Use Newton's (or the Newton-Raphson) method and find p3 with po = 0 for f(x) = cos(Tx) – x. O -80 4.…

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Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

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Q: Let H be a subgroup of a group G and a, bEG. ThenbE aH if and only if * O None of these O ab EH O…

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Q: d the surface area of this triangular prism. Be sure to include the correct unit in your answer. cm…

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Q: . Solve the variational problem +2y (x +y)] dx = 0, given y (1) = y (2) = 0. %3D

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Q: The complex conjugate of z is denoted as z̄. Solve z in equation: z-12=j(9-2z̄) giving the answer…

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Q: D

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Q: Required information Consider the following integral: I = S *dz NOTE: This is a multi-part question.…

A: given data: ∫04x3dx∫xndx=xn+1n+1=∫04x3dx=x4440=444I=64