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The Laplace Transform of x(t) formed by convolution operator is:
$$x(t) = \left\{t.u(t)\right\}\otimes \left\{\cos 2 \pi t.u(t)\right\}$$
$$\frac{1}{[s(s^{2} + 4 \pi^{2})]}$$
$$\frac{1}{[s^{2}(s^{2}+4 \pi^{2})]}$$
$$\frac{2 \pi}{[s(s^{2}+4 \pi^{2})]}$$
$$\frac{s^{3}}{[(s^{2}+4 \pi^{2})]}$$
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