Long description: Fig1Colin1

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A graph showing a function \(x(t)\) plotted against time \(t\), which exhibits oscillations that decrease in amplitude over time.

Alt text: A graph showing a function \(x(t)\) plotted against time \(t\), which exhibits oscillations that decrease in amplitude over time.

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  • The graph displays a function \(x(t)\) on the vertical axis and time \(t\) on the horizontal axis.
  • At time \(t=0\), the function value \(x(t)\) starts at zero.
  • The function increases rapidly, reaching a peak slightly above \(0.125\) around \(t=1\).
  • Between \(t=1\) and \(t=3\), the function oscillates, with the peak value remaining relatively close to \(0.1\) for a period.
  • The oscillations continue, showing a general decreasing trend in amplitude.
  • Around \(t=6\), the function reaches a negative minimum value, falling below \(-0.025\).
  • After \(t=7\), the amplitude of the oscillations continues to decrease, approaching the horizontal axis, suggesting the function approaches zero as \(t\) increases towards \(10\).

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