Consider the parametric equations below. x = 4 + 5t, y = 5-t² (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

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Chapter2: Second-order Linear Odes
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Consider the parametric equations below.
x = 4 + 5t, y = 5-t²
(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the
curve is traced as t increases.
Transcribed Image Text:Consider the parametric equations below. x = 4 + 5t, y = 5-t² (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
(b) Eliminate the parameter to find a Cartesian equation of the curve.
Transcribed Image Text:(b) Eliminate the parameter to find a Cartesian equation of the curve.
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