Graph the parametric equations using the given range for the parameter $t$ . Begin with the standard viewing rectangle and then make adjustments, as necessary, so that the graph utilizes as much of the viewing screen as possible. For example, in graphing the circle given by $x = \cos t$ and $y = \sin t$ it would be natural to choose a viewing rectangle extending from -1 to 1 in both the $x$ - and $y$ -directions. Graph the parametric equations on a graphing utility. Sketch the result. $x = 5 \cos t$ and $y = 2 \sin t$ , $0 \leq t \leq \frac { \pi } { 2 }$ (one-quarter of an ellipse)

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The Answer of Graph the parametric equations using the given range for the parameter $t$ . Begin with the standard viewing rectangle and then make adjustments, as necessary, so that the graph utilizes as much of the viewing screen as possible. For example, in graphing the circle given by $x = \cos t$ and $y = \sin t$ it would be natural to choose a viewing rectangle extending from -1 to 1 in both the $x$ - and $y$ -directions. Graph the parametric equations on a graphing utility. Sketch the result. $x = 5 \cos t$ and $y = 2 \sin t$ , $0 \leq t \leq \frac { \pi } { 2 }$ (one-quarter of an ellipse)

Graph the Parametric Equations Using the Given Range for the Parameter