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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 97E

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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

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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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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