Solve the inhomogeneous wave equation on the real line Utt − c 2Uxx = sin x, x ∈ R U(x, 0) = 0, Ut(x, 0) = 0. Explain what theory you are using and show your full computations.

Q: 3. Show that if n ≥ 5, then the only normal subgroups of Sn are {}, An, and Sn. You may use the…

A: We have to show that n≥5,then the only normal subgroups of Sn are {e}, An, and Sn

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Q: nontrivial groups

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Q: 6. sin 2x=3 sin x

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Q: y" tý = -6xx 8 y²-y = et (² siux + 4 cos x) 9) ý - Ý x y" + y ² -4 y² - 4y = 3 = ³x - 4x-6.

A: Since you have posted multiple questions,  as per our guidelines we are supposed to be answered only…

Q: The general solution for 3 1 5 −1 X is - -21 x(1) = a (1²) e ²¹ +4₂ (1) ²² x (1) = q (17¹) e²¹ + a₂…

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Q: Maximize subject to 3x₁ + x₂ + 5x3 ≤ 10 x₁ + 4x₂ + x3 = 8 + 2x3 = 7 2x1 and Z = x₁ + 2x₂ + 4x3, x₁ ≥…

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Q: X 6:47 www.bartleby.com bartlebyⓇ Q SEARCH Question K & ASK Expert Solution Math » Advanced Math »…

A: The objective of this question is to determine how many wreaths Mrs. Brooks can make with the given…

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Q: 5. Draw the graph of each of the following adjacency matrices. 0 2 3 0 a. 1221 2110 1002 [1 b. 2 LO…

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Q: 2- Rework problem (1) using Simpson's Rule of Integration. 3- Evaluate the following integral using…

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Q: For integers 16 and 347, illustrate the algorithm for division. Be careful with positive and…

A: For integers 16 and  , We have to illustrate the algorithm for division.That is, here we have to…

Q: Show that A = (aj) = Cmxn. Then || A||2 ≤ || A||F ≤ √ Rank(A)|| A||2 V

A: Matrix A=(aij)∈Cm×n: This notation indicates that A is a matrix with complex entries, where m and n…

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Q: et V be a vector space over a field F. Let S = {v₁, ..., Un}, where vi EV for = 1,..., n. Define the…

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Q: Country A takes 30 minutes to make a car, and 20 minutes to make a computer. If total work time of 4…

A: Country A takes 30 minutes to make a car, and 20 minutes to make a computer. If total work time of 4…

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Q: a. Nigeria b. United Kingdom (careful!) Cuba (careful!)

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Q: 4.1-2. Consider the following problem. Z = 3x₁ + 2x₂, Maximize subject to 2x₁ + x₂ ≤ 6 x₁ + 2x₂ ≤ 6

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 02: Find a solution of: a² + 2y²-y-2B=0 a²-8y² + 10ß = 0 a² 7γβ Using Newton Raphson. When the…

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Q: Write formulas for the precipitates that formed in Part A. (See Appendix E) A₂Cl (s) A₂ (0₂6) Az NR…

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Q: (a) Solve the inhomogeneous 1st order equation Uz - Ut = cost U (x, 0) = 0.

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Q: How many cells are there in the arrangement of hyperplanes in R^d with equations xi + xj = 0 and x…

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Q: 2 1+t² Let f be the function given by f (t) = and G be the function given by G(x) = fő f(t)dt . Find…

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Q: 10. Let (s, t) be a coordinate patch for a smooth surface S with F = 0. Prove that if all s- curves…

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Q: Consider the linear system Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ = 15…

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Q: he slope of a beam subjected to a gradually applied load is given by 1²0 de +3- dt² - + 20 = 5e-³¹.…

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Q: Question 5 Kellen is attempting to determine the circumference of the circle below. He takes a ruler…

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Q: Maximize subject to Z = 4x₁ + 3x₂ + 6x3, 3x₁ + x₂ + 3x3 ≤ 30 2x₁ + 2x₂ + 3x3 ≤ 40 and

A: Given,

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Q: Problem # 1 Suppose heat is lost from the lateral surface of a thin rod of length L into a…

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Q: Determine the approximate slope of the tangent to the curve f(x) = 2x-1 x+2 at x = -1, to 1 decimal…

A: The given curve .The aim is to find the slope of the tangent line at the point .