Consider an LTI system with the input and output related by(a) Find the system impulse res...

Consider an LTI system with the input and output related by

(a) Find the system impulse response h(t) by letting x(t) = δ(t).

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(b) Is this system causal? Why?

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(c) Determine the system response y(t) for the input shown in Figure (a).

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(d) Consider the interconnections of the LTI systems given in Figure (b), where h(t) is the function found in Part (a). Find the impulse response of the total system.

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(e) Solve for the response of the system of Part (d) to the input of Part (c) by doing the following:

(i) Using the results of Part (c). This output can be written by inspection.

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(ii) Using the results of Part (d) and the convolution integral.