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(9.) r(t) = (1, cos t, 2 sin t)

(9.) r(t) = (1, cos t, 2 sin t)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Question

9) Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.  r(t)=(1, cos(t), 2sin(t))

    

5-12 Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. (sin t, t) 6. r(t) = (t', t² ) 7. r(t) = (1, 2 – t, 2t) 5. r(t) = 8. r(t) = (sin Tt, t, coS īt) 9.) r(t) (1, cos t, 2 sin t) 10. r(t) = t’i + tj + 2k 11. r(t) = t²i + t*j + t°k 12. r(t) = cos ti – cos tj + sin t k
Transcribed Image Text:5-12 Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. (sin t, t) 6. r(t) = (t', t² ) 7. r(t) = (1, 2 – t, 2t) 5. r(t) = 8. r(t) = (sin Tt, t, coS īt) 9.) r(t) (1, cos t, 2 sin t) 10. r(t) = t’i + tj + 2k 11. r(t) = t²i + t*j + t°k 12. r(t) = cos ti – cos tj + sin t k
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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.

r(t) = t2 i + t4 j + t6 k
 
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