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For the waveform shown in the figure, which equation correctly represents it?
  • a)
    3(t + 1)u(t + 1) − 3tu(t − 1) + 6u(t − 1)
  • b)
    3(t + 1)u(t + 1) − 6tu(t) + 3(t − 1)u(t − 1)
  • c)
    3(t + 1)u(t + 1) − 3(t − 1)u(t − 1)
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
For the waveform shown in the figure, which equation correctly represe...
Solution:
  • At t = −1, the slope of the function changes from 0 to 3, resulting in a slope change of 3.
  • At t = 0, the slope changes from 3 to -3, resulting in a slope change of -6.
  • At t = 1, the slope changes from -3 to 0, resulting in a slope change of 3.
Hence, the equation for x(t) is:
x(t) = 3(t + 1)u(t + 1) − 6tu(t) + 3(t − 1)u(t − 1)
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Community Answer
For the waveform shown in the figure, which equation correctly represe...
Solution:
  • At t = −1, the slope of the function changes from 0 to 3, resulting in a slope change of 3.
  • At t = 0, the slope changes from 3 to -3, resulting in a slope change of -6.
  • At t = 1, the slope changes from -3 to 0, resulting in a slope change of 3.
Hence, the equation for x(t) is:
x(t) = 3(t + 1)u(t + 1) − 6tu(t) + 3(t − 1)u(t − 1)
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