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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
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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13 & 14 ONLY.

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
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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