What is the Laplace transform of sint cost? 1 OF +4 O O O 1 s+2 1 2t+2 1 2s+4

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Q: [5 1 8 -1 and B = LO -8] Compute AB and BA and enter your answers in part 2. The product AB is a…

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Q: dy y(cos 2t)ety — 2(sin2t)ety + 2t + (t(cos2t)ety – 3)- dt = = 0, y(0) = 0

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Q: 3. Evaluate : Z 5+2 5+3 L' £^ ( (3 + 25 +2) (65² + 25 +5)

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Q: Problem: A classical type of practise problems for the Chinese Remainder Theorem are word problems…

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Q: Question 1.3. (1) Show that 6 divides 7" +n³-3n² + 2n-1. for all integers n ≥ 0. C

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Q: Assume that, below, A is row equivalent to B. Find bases for Nul A and Col A. A = 1 1 1 1 4 st O 25…

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Q: Find the Int = √ [√² tu dt] -dt dy about co t-1 series of the function F(x) = power = 1

A: I(y)=∫0yln⁡(t)t−1dtNow express the series g(t)=ln⁡(t) about t=1.g(t)=ln⁡(t) , g(1)=0g′(t)=1t ,…

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Q: Ex:2-31 Find all the root of the function: f(x) = x+r³-39x² +31x + 70. Anster: -7, -1, 2; and 5.

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Q: S1 || 12 and Sn+1 = 8sn +33 for n ≥ 1.

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Q: 2. a) f(t)=2sin(t), -2, 0≤t<π/2 π/2 < t < 3π/2 t≥ 3π/2

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Q: (b) The string is such that at t = 0, dy/dt = 0 for all x, and y(x,0) has the shape y a L/2 L i.e.…

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Q: f = Find a function f such that Vƒ = (-15yze5xz, -3e5xz, -15xye³xz). Usef to evaluate: Σ + K…

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Q: 3. Find the lengths of the following curves. (a) x²/3 + y²/3 = 1. 1 (b) x = y√/y² − 1 − 1⁄2 ln (y +…

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Q: Evaluate the following integral, leave your the answer in gamma notation. dx; ner (n-r) - p2₂² е fox…

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Q: 2. For each of the following subspaces UCV, find a finite spanning set for U: = {(x, y, z, w) ≤ R¹ :…

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Q: 1) Obtain the arc length of the following vector function. (t) = ½t²t+ sin(t)j — cos(t) k 0sts4

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