Sketching a Plane Curve and Eliminating the Parameter In Exercises 13-28, (a) sketch the curve represented by the parametric equations (indicate the orientation of the curve). Use a graphing utility to confirm your result. (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. Adjust the domain of the resulting rectangular equation, if necessary. 25. x = e¯¹, y = e³t

Algebra and Trigonometry (MindTap Course List)
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Sketching a Plane Curve and Eliminating the Parameter
In Exercises 13-28, (a) sketch the curve represented by
the parametric equations (indicate the orientation of the
curve). Use a graphing utility to confirm your result.
(b) Eliminate the parameter and write the corresponding
rectangular equation whose graph represents the curve.
Adjust the domain of the resulting rectangular equation,
if necessary.
25. x = e¹, y = e³t
1
Transcribed Image Text:Sketching a Plane Curve and Eliminating the Parameter In Exercises 13-28, (a) sketch the curve represented by the parametric equations (indicate the orientation of the curve). Use a graphing utility to confirm your result. (b) Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. Adjust the domain of the resulting rectangular equation, if necessary. 25. x = e¹, y = e³t 1
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