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Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. (Do not use a graphing device.) (a) x = t³ - 2t, y = t² - t (b) x = t³ - 1, y = 2 - t² (c) x = sin 3t, y = sin 4t (d) x = t + sin 2t, y = t + sin 3t (e) x = sin(t + sin t), y = cos(t + cost) (f) x = cos t, y = sin(t + sin 5t) 14

Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. (Do not use a graphing device.) (a) x = t³ - 2t, y = t² - t (b) x = t³ - 1, y = 2 - t² (c) x = sin 3t, y = sin 4t (d) x = t + sin 2t, y = t + sin 3t (e) x = sin(t + sin t), y = cos(t + cost) (f) x = cos t, y = sin(t + sin 5t) 14

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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28. Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. (Do not use a graphing device.) (a) x = t³ - 2t, y=t² - t (b) x = t³ - 1, y = 2 - t² sin 3t, y = sin 4t t + sin 2t, y = t + sin 3t sin(t + sin t), y = cos(t + cos t) (c) x = (d) x = (e) x = (f) x = cos t, y = sin(t + sin 5t) I YA III V YA YA 0 0 II IV YA VI y it 0
Transcribed Image Text:28. Match the parametric equations with the graphs labeled I-VI. Give reasons for your choices. (Do not use a graphing device.) (a) x = t³ - 2t, y=t² - t (b) x = t³ - 1, y = 2 - t² sin 3t, y = sin 4t t + sin 2t, y = t + sin 3t sin(t + sin t), y = cos(t + cos t) (c) x = (d) x = (e) x = (f) x = cos t, y = sin(t + sin 5t) I YA III V YA YA 0 0 II IV YA VI y it 0
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