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(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. 5. х — 3 — 4t, у%3D2— 3t 6. x = 1 – 2t, y=¿t - 1, –2

(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. 5. х — 3 — 4t, у%3D2— 3t 6. x = 1 – 2t, y=¿t - 1, –2

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) 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. 5. х — 3 — 41, у%3D2 - 3t 6. x = 1 – 2t, y=¿t - 1, –2 <t< 4 7. x = 1 – t, y=t- 2, -2 < t < 2 | 8. x = t – 1, y = t³ + 1, -2 < t < 2 -2 <t< 2
Transcribed Image Text:(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. 5. х — 3 — 41, у%3D2 - 3t 6. x = 1 – 2t, y=¿t - 1, –2 <t< 4 7. x = 1 – t, y=t- 2, -2 < t < 2 | 8. x = t – 1, y = t³ + 1, -2 < t < 2 -2 <t< 2
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