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- Given that find the Laplace transform of ✓cos (8t) √ cos(8t)} = (-16)^(-8/s) (88 (5/8)) Preview My Answers Submit Answers C{ cos(8t) mt }Use the Laplace transform to solve x₁ = 2x1 + 3x₂ + 12e¹ x2 = x1 +4x2 with initial data x₁ (0) = -8 and x₂ (0) = 2.Find the Fourier Cosine Transform of the function -mx ƒ(x)=(ae-¹ + be=mx)³_if_x>0 if a = 5, b = 4, m = 6, and n = 4. Then, evaluate the transform if w = 16.7. Round off the final answer to five decimal places.