2. 3y" + 6y' + y = 0

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Q: Let A = {1, 2, 3, 4, 5). Let F be the set of all functions from A to A. Define a relation R on F as…

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Q: Using the Residue Theorem, show that dx S 100 (X² + 4) ² ㅍ 16

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Q: Use cylindrical coordinates to evaluate E √x² + y²dv

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Q: Prove by induction that 1 (1)4 + 1 1 + (4)7 (7)10 1 n (3n-2)(3n+1) 3n+1

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Q: Use a Taylor series to evaluate the function. 0.8 O2.2254 1.0375 3.1659 1.5621

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Q: 3. dy d[dy + 4y] = 2 x - y dt Ldt dt

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Q: Show that (a) sinh * = x+3! +++ 5! 7! +2+3+4+ (b) cosh = 1+ for < x <∞0.

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Q: 3. Find the Laplace transform of f(t) = (2 t)u₂(t)

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