8. r(t) (sin Tt, t, coS Tt)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 36E
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8) Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.  r(t)=(sin(pi)t, t, cos(pi)t)

5–12 Sketch the curve with the given vector equation. Indicate with
an arrow the direction in which t increases.
5. r(t)
(sin t, t)
6. r(t) = (t°, t² )
7. r(t) = (t, 2 – t, 2t)
8. r(t) =
(sin Tt, t, cos Tt)
9. r(t)
(1, cos t, 2 sin t)
10. r(t) = t²i + tj + 2k
11. r(t) = t²i + t*j + t°k
12. r(t) :
= cos t i
cos tj + sintk
-
Transcribed Image Text:5–12 Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. 5. r(t) (sin t, t) 6. r(t) = (t°, t² ) 7. r(t) = (t, 2 – t, 2t) 8. r(t) = (sin Tt, t, cos Tt) 9. r(t) (1, cos t, 2 sin t) 10. r(t) = t²i + tj + 2k 11. r(t) = t²i + t*j + t°k 12. r(t) : = cos t i cos tj + sintk -
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