Find the Laplace transform of the function f (t) = 4t^3 + t^2 – 6t + 7.(a) 24/s^4 + 2/s^3 + 6/s^2 + 7/s(b) 24/s^4 – 2/s^3 – 6/s^2 + 7/s(c) 24/s^4 + 2/s^3 – 6/s^2 + 7/s(d) 24/s^4 – 2/s^3 + 6/s^2 + 7/sThe question was asked during a job interview.The query is from Operational Transforms topic in chapter Intoduction to the Laplace Transform of Network Theory

Find the Laplace transform of the function f (t) = 4t^3 + t^2 – 6t +

1.	Find the Laplace transform of the function f (t) = 4t^3 + t^2 – 6t + 7.(a) 24/s^4 + 2/s^3 + 6/s^2 + 7/s(b) 24/s^4 – 2/s^3 – 6/s^2 + 7/s(c) 24/s^4 + 2/s^3 – 6/s^2 + 7/s(d) 24/s^4 – 2/s^3 + 6/s^2 + 7/sThe question was asked during a job interview.The query is from Operational Transforms topic in chapter Intoduction to the Laplace Transform of Network Theory
Answer» Correct choice is (c) 24/s^4 + 2/s^3 – 6/s^2 + 7/s For EXPLANATION: L (4t^3 + T^2 -6T +7) = 4L (t^3) + L(t^2)-6L (t) + 7L(1) = 4×3!/s^4 + 2!/s^3 – 6 (1!)/(s^2)+71/s = 24/s^4 + 2/s^3 -6/s^2 + 7/s.

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