Long description: fig1_3

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A graph shows a curve plotted on a Cartesian coordinate system, with labeled values for the parameter t indicating the path of the curve.

Alt text: A graph shows a curve plotted on a Cartesian coordinate system, with labeled values for the parameter t indicating the path of the curve.

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  • The image displays a two-dimensional graph with the horizontal axis labeled \(x\) and the vertical axis labeled \(y\).
  • The curve itself is smooth and concave down, starting from the top left and curving downward and to the right, suggesting a path traced over a parameter \(t\).
  • Several points are marked along the curve, and arrows indicate the direction of motion as the parameter \(t\) increases from \(t = 0\) to \(t = \frac{3\text{pi}}{20}\).
  • At the starting point, corresponding to \(t = 0\), the curve intersects the horizontal axis at the point \((2, 0)\).
  • The y-axis intercepts the curve at the point \((0, 3)\) when the parameter is \(t = \frac{\text{pi}}{2}\).
  • A marked point on the curve corresponds to the parameter \(t = \frac{7\text{pi}}{20}\), which is located in the first quadrant.
  • The curve is terminated or tracked until the parameter reaches \(t = \frac{3\text{pi}}{20}\), indicating the endpoint of the visible segment of the curve.

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