response of the system to an excitation e-at u(t), a > 0 will be" class="read-more button" href="https://exam.pscnotes.com/mcq/the-unit-impulse-response-of-a-linear-time-invariant-system-is-the-unit-step-function-ut-for-t-0-the-response-of-the-system-to-an-excitation-e-at-ut-a-0-will-be/#more-49709">Detailed Solution
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class="screen-reader-text">The unit impulse response of a linear time invariant system is the unit step function u(t). For t > 0, the response of the system to an excitation e-at u(t), a > 0 will be
$${{ - s} over {{{left( {{s^2} + s + 1}
ight)}^2}}}$$
$${{ - left( {2s + 1}
ight)} over {{{left( {{s^2} + s + 1}
ight)}^2}}}$$
$${s over {{{left( {{s^2} + s + 1}
ight)}^2}}}$$
$${{2s + 1} over {{{left( {{s^2} + s + 1}
ight)}^2}}}$$
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Answer is Right!
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is the unilateral Laplace transform of g(t) = t.f(t)?" class="read-more button" href="https://exam.pscnotes.com/mcq/the-unilateral-laplace-transform-of-ft-is-1-over-s2-s-1-which-one-of-the-following-is-the-unilateral-laplace-transform-of-gt-t-ft/#more-49296">Detailed SolutionThe unilateral Laplace transform of f(t) is $${1 \over {{s^2} + s + 1}}.$$ Which one of the following is the unilateral Laplace transform of g(t) = t.f(t)?
button" href="https://exam.pscnotes.com/mcq/a-1-khz-sinusoidal-signal-is-ideally-sampled-at-1500-samples-sec-and-the-sampled-signal-is-passed-through-an-ideal-low-pass-filter-with-cutoff-frequency-800-hz-the-output-signal-has-the-frequency/#more-48771">Detailed SolutionA 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low-pass filter with cutoff frequency 800 Hz. The output signal has the frequency
of a linear time-invariant system is given by h[n] = u[n + 3] + u[n – 2] – 2u[n – 7], where u[n] is the unit step sequence. The above system is" class="read-more button" href="https://exam.pscnotes.com/mcq/the-impulse-response-hn-of-a-linear-time-invariant-system-is-given-by-hn-un-3-un-2-2un-7-where-un-is-the-unit-step-sequence-the-above-system-is/#more-47800">Detailed SolutionThe impulse response h[n] of a linear time-invariant system is given by h[n] = u[n + 3] + u[n – 2] – 2u[n – 7], where u[n] is the unit step sequence. The above system is