The residues of * ƒ(z) = O 4/9,-4/9 O-4/9, 4/9 O 4/7,-4/7 4z (z − 1)(z + 2)² -4/9, -4/9 O 4/9.4/9

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Q: lim 0-0 cos(90) tan(90)

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Q: (a) (b) (c) (d) 2x1 + 3x2 + x3 - 11x4 + 4x5 = 30 5x12x2 + 5x3 4x4+x5 = 36 ₁ - ₂ + 3x3 3x4 + 5x5 = 23…

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Q: am to read array B(100) then: ow many elements greater than 50 ray A(100) which has the square…

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Q: 2. p(q^r) -q/:: -p

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Q: 1. Use the Modified Euler method to approximate the solutions to each of the following initial-value…

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Q: Let A = = 6 -1 0-5 and define T: R³ → R² by T(x) = Ax. 3 (a) Find the images under T of u = and v= 8…

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Q: (d) Consider the set [1, √5] C [-1, √10]. Explain f is not continuous by (i) connectedness, (ii)…

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Q: 2. Use Laplace transform to solve with y(0) = y" + 4y = = 8(t)- 8(t - 2π) 0 and y' (0) = 0.

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Q: . Solve the following Ricatti equations: 2 y - y² = -x², given that y₁ = x² is a particular dy dx…

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Q: Solve the ODE by the Euler method: given 2y" = -4y' - 1.5y y(0) = 3 and y'(0) = −2.5 with step h =…

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Q: Q1: A- Find the limits of the following series (-1)" ܐ R=0 22 Στη Σ iv- 6 (2n-1X2n+)

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Q: 5. Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the…

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Q: x²y"-5xy' +9y=0

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