Consider the integrator in Figure This system is described in Example 3.1 and has the impu...

Consider the integrator in Figure This system is described in Example 3.1 and has the impulse response h(t)= u(t).

(a) Using the convolution integral, find the system response when the input x(t) is

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(i) u(t – 2)

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(ii) e–2tu(t)

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(iii) tu(t)

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(iv) (t + 1) u(t + 1)

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(v)

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(vi) t2u(t)

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(vii) (t – 1) u(t – 1)

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(viii) u(t) – u(t – 5)

(b) Verify the results of Part (a) using the system equation