Problem 1: Determine if the following statements are True or False and briefly describe the reasons for your answers. (a) The Laplace transform of an LTI system's zero-input response is always equal...

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Extracted text: Problem 1: Determine if the following statements are True or False and briefly describe the reasons for your answers. (a) The Laplace transform of an LTI system's zero-input response is always equal to the system's transfer function, H(s). (b) The Laplace transform of a signal is ; 12 s(s+3)(s+2)' . Then, according to the Final Value Theorem, it can be concluded that the final value (that is, when t approaches infinity) of this signal must be 2. (c) The Nyquist sampling rate for signal (t) = sinc²(50xt) + sinc(80nt) is equal to 200z rad/s.