Long description: fig2_3

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A scatter plot shows the points of a parametric curve plotted on an x-y coordinate system, with labeled time values.

Alt text: A scatter plot shows the points of a parametric curve plotted on an x-y coordinate system, with labeled time values.

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  • The image displays a two-dimensional Cartesian coordinate system with an x-axis and a y-axis, which define the plane for the curve.
  • A curved path is drawn, suggesting a relationship between x and y coordinates that changes over time, labeled by parameter \(t\).
  • Several discrete points are marked along the curve, each associated with a specific value of the parameter \(t\):
  • A point labeled \(t=0\) is visible near the origin.
  • A point labeled \(t=0.25\) is located further along the curve from \(t=0\).
  • A point labeled \(t=0.5\) is situated higher and further to the right than the point for \(t=0.25\).
  • A point labeled \(t=0.75\) is positioned even higher and further to the right.
  • The final labeled point, \(t=1\), is the highest and rightmost point shown on the curve.
  • The curve generally rises and moves towards positive values on both the x and y axes as the parameter \(t\) increases from \(0\) to \(1\).

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