Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF (s) = F (s) = OF (s) = -4s5-8s4 +18s³-36s2+72s-144 s7-2s6+4s5-884 -4s5+18s4 +88³ +36s²-72s+144 s7-2s6+4s5-884 -485 +18s4 +88³-36s2+728-144 s7-2s6 +4s5-884 -4s5+8s4 +85³ +36s²+72s-144 s7-2s6 +485-884 -4s5+8s4+18s³-36s2-72s-144 s7-2s6+4s5-884 -4s5-8s4+18s³-36s2+72s+144 s7-2s6+4s5-884 -4s5+18s4+18s³-36s2+72s+144 s7-2s6+4s5-884 105 11804 1803 3602 72e111

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A: Solution is here

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A: I have appended the formula used in the solution part.

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A: This question can be solved using the concept of limits.

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A: We can find the correct answer as below.

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A: Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph…

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A: To express the derivative of transcendental functions.

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A: Let's find.

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A: We can find the domain of the equation as below.

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A: To evaluate the values of given integrals.

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A: Solution is given below:

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A: Solution is given below:

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A: We can solve this as follows:

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