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A pair of parametric equations is given. x = e²t, y = et (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increase

A pair of parametric equations is given. x = e²t, y = et (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increase

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A pair of parametric equations is given. x = e²t, y = et (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y -6 -4 -2 6 4 2 -2 -4 6 4 2 2 NOV 4 6 X X -6 -4 ty -2 6 4 2 -2 -4 y 6 2 4 6 X
Transcribed Image Text:A pair of parametric equations is given. x = e²t, y = et (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. y y -6 -4 -2 6 4 2 -2 -4 6 4 2 2 NOV 4 6 X X -6 -4 ty -2 6 4 2 -2 -4 y 6 2 4 6 X
-6 Need Help? I -4 Read It -2 where x > 6 y 4 2 -4 -6 2 4 6 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. and y > X -6 -4 -2 4 -2 -4 -6
Transcribed Image Text:-6 Need Help? I -4 Read It -2 where x > 6 y 4 2 -4 -6 2 4 6 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. and y > X -6 -4 -2 4 -2 -4 -6
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