Question 12 : Determine whether the given matrix is orthogonal (DON'T find inverse. You are NOT required to check B'B = I3) : cos² 0 sin 0 - cos 0 sin 0 - sin? 0 B = cos 0 sin 0 – cos 0 sin 0 cos e

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Q: Find the Laplace transform of g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) 4s 2s A G (s) = + s2+ 16 s2+ 16…

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Q: -2 -5 8 0 -17 1 3 -5 1 A = -7 -15 23 5 -77 1 7 -13 5 -3 1 0 10 1 0 1 -2 0 3 0 1 -5 (a) Find the rank…

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Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

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Q: 13. Which of the following is a solution of the differential equation d'y dy dx2 a) e6x 6y = 0 dx b)…

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Q: Find the Fourier series representing f (x) = x, 0<x<2n and sketch its graph from x = -4π to x 4 T.

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Q: Exercise 25.2. Prove that log, (bc) = log, b+ log, c (mod p- 1) for all b, c not divisible by p.

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Q: Com idr the Legendre's litterentrial equation n-constant Any saluhion Legendre's function. s Q.1.…

A: Given the Legendre's differential equation                                           1 - x2y'' -…

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Q: Find the Laplace Transform of e-2* cos3t + 5e-2t sin3t (s+2) + 15 A) (s2+4s) + 13 15 + s2+9 В s2+9…

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Q: Employ Stirling's formula to compute y122 from the following table = 1 + log 10 sin x) : 10 11 12 13…

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Q: 5. Show that the function h(x, y) defined by if r2 + y? 1 is discontinuous.

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Q: Given: A = 0.6 – j0.4 B = 0.5 + j0.8 C = 0.6 – j0.8 D = 0.5+ j0.4 %3D %3D Evaluate: log. (3B)]²(cos…

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Q: Find the solution of the integration using trapezoids and Simpson's 1/3 rule and compare the…

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