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Consider the following. x = In(t), y = Vt, t2 81 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Consider the following. x = In(t), y = Vt, t2 81 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

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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Consider the following. In(t), y = Vt, X = t > 81 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y y 100 X 4 6. 8 - 20 80 -40 60 - 60 40 - 80 20 - 100 -8 -6 -4 -2
Transcribed Image Text:Consider the following. In(t), y = Vt, X = t > 81 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. y y 100 X 4 6. 8 - 20 80 -40 60 - 60 40 - 80 20 - 100 -8 -6 -4 -2
y y 100 100 80 80 60 60 40 X 2 4 6 8 2 8 40 20 20
Transcribed Image Text:y y 100 100 80 80 60 60 40 X 2 4 6 8 2 8 40 20 20
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