1.

Find the Laplace transform of the function f (t) = 3t4 -2t3 +4e-3t -2sin5t +3cos2t.

A. 72/s<sup>5</sup> -12/s<sup>4</sup> +4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
B. 72/s<sup>5</sup> -12/s<sup>4</sup> +4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
C. 72/s<sup>5</sup> -12/s<sup>4</sup> -4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
D. 72/s<sup>5</sup> -12/s<sup>4</sup> -4/(s+3)-10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)
Answer» C. 72/s<sup>5</sup> -12/s<sup>4</sup> -4/(s+3)+10/(s<sup>2</sup>+25)+3s/(s<sup>2</sup>+4)


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