Transform the differential equation 4y′+2y=t^(5) y(0)=9 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s) part b ) Therefore Y=

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Q: C {t e2t sin t} = = 25 (s²+1)² [(0-2)2+1] = (B) (E) 8-2 [(8-2)²+1]² 2(8-2) [(8-2)²+1]² 2(8-2) (C)…

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Q: 1. Consider the second order differential equation y" + 3y + 2y = 0. a) Is this a linear…

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Q: = O LOGIC Completing rows of truth tables: Conjunctions, disjunctions,... Complete the row of each…

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Q: 0 FF 0,087 -1 F₁ 0 5,96 FA [0,087 -0,996 0,996 0 11 -52,61 8,25 4,82

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Q: Suppose that f(x, y) = x² - xy + y² - 4x + 4y with x² + y² ≤ 16. 1. Absolute minimum of f(x, y) is…

A: According to the given data, find the Absolute minimum and maximum of f(x,y):

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Q: 14. Suppose a € Z. Prove that 5 | 2" a implies 5|a for any n € N

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Q: S Q16) L−¹ {(8 − 1)² + 4) (A) et [cost + sin t] (D) et [cos 2t+sin 2t] (B) et [cos 2t + sin 2t] (E)…

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Q: In both cases Consider the two systems 5 7 A 1 - [2 4 ]- B - [ 6.90 b= [ ], 46.463 17.499 x0 = 6.99…

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A: The given differential equation is-comparing it with Mdx+Ndy=0,we have

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Q: What is the nominal annual interest rate? %

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Q: 15. If n €N, then 1 1 1 1 + ·+—+—+ 1-2 2-3 3-4 4-5 + 1 n(n+1) 1- 1. n+1

A: We will prove the above statement by the method of induction.If we have to prove a statement  is…