1 The Laplace transform of the solution of the following Cauchy problem ´y" (t) − y'(t) + 3y(t) = -³t y (0) = 0 y' (0) = -2 is 5 - 2s S 3) (s²s+ 3)' HRANE s - 3) 5+2s (s − 3)(s²s + 3)" 5+2s (s − 3)(s² + s + 3)' (A) (B) (C) (D) S > 3

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A: Solution :    From given graph   f(4) =-2  ,  g(-2) =-4

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Q: Evaluate: 2²₁₁ (4x²yz - ) dz dy dx

A: evaluate  I=∫23∫-14∫104x2yz-z44dz dy dx integrate the function I=∫23∫-142x2yz2-z52010 dy dx…

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Q: Maximize: Z = 4x1 + 5x2 subject to: 3x₁+ 6x₂ ≤ 36 4x1 + 2x2 ≤ 36 X1 + X₂ ≤ 8

A: Maximize :  Z=4x1+5x2 subject to 3x1+6x2≤364x1+2x2≤36x1+x2≤8

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