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der the parametric equations below. x = t2 - 1, y = t + 3, -3 sts 3 (a) Sketch the curve by using the parametric equation y

der the parametric equations below. x = t2 - 1, y = t + 3, -3 sts 3 (a) Sketch the curve by using the parametric equation y

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 parametric equations below. = t² – 1, y = t + 3, -3 <t< 3 (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. y 8- 8- 6 6 X -8 -6 -4 -2 2 -8 -6 -4 -2 -2F -2F y 8- 8 6. 6. -2 4 8 -2 2 4 6 8 -2- -2- (b) Eliminate the parameter to find a Cartesian equation of the curve. for 0 < y < 6
Transcribed Image Text:Consider the parametric equations below. = t² – 1, y = t + 3, -3 <t< 3 (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. y 8- 8- 6 6 X -8 -6 -4 -2 2 -8 -6 -4 -2 -2F -2F y 8- 8 6. 6. -2 4 8 -2 2 4 6 8 -2- -2- (b) Eliminate the parameter to find a Cartesian equation of the curve. for 0 < y < 6
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