7-14 Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. 7. r(t) = (sin t, t) 9. r(t) = (t, 2 t, 2t) 11. r(t) = (1, cos t, 2 sin t) 13. r(t) = t²i + tªj + tºk 8. r(t) = (t²³, t²) 10. r(t) = (sin t, t, cos mt) 12. r(t) = t²i + tj + 2k
7-14 Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. 7. r(t) = (sin t, t) 9. r(t) = (t, 2 t, 2t) 11. r(t) = (1, cos t, 2 sin t) 13. r(t) = t²i + tªj + tºk 8. r(t) = (t²³, t²) 10. r(t) = (sin t, t, cos mt) 12. r(t) = t²i + tj + 2k
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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Question
13 & 14 ONLY.
Transcribed Image Text:7-14 Sketch the curve with the given vector equation. Indicate with
an arrow the direction in which t increases.
7. r(t) = (sin t, t)
9. r(t) = (t, 2-t, 2t)
11. r(t) = (1, cos t, 2 sin t)
13. r(t) = t²i + tªj + tºk
14. r(t) = costi - cos tj + sint k
8. r(t) = (t³, 1²)
10. r(t) = (sin wt, t, cos #t)
12. r(t) = t²i + tj + 2k
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