13 2t³ - 17-14 Sketch the curve with the given vector equation. Indicatewith an arrow the direction in which t increases.7. r(t) = (sin t, t)9. r(t) = (t, 2 t, 2t)11. r(t) = (3, t, 2 - t²)12. r(t) = 2 cos ti + 2 sin tj + k13. r(t) = t¹i + tªj + tºk14. r(t) = cos ti - cos tj + sin t k8. r(t) = (t²-1, t)10. r(t) = (sin Tt, t, cos nt)15-16 Draw the projections of the curve on the three coordinateplanes. Use these projections to help sketch the curve.15. r(t) = (t, sin t, 2 cos t)16. r(t) = (t, t, t²)17-20 Find a vector equation and parametric equations for theline segment that joins P to Q.17. P(2, 0, 0), Q(6, 2,-2)19. P(0, -1, 1), (1,3,4)I21-26 Match the parametric equations with the graphs(labeled I-VI). Give reasons for your choices.IIy18. P(-1, 2, -2), Q(-3, 5, 1)20. P(a, b, c), Q(u, v, w)ZA15525.26.27.28.29.30.31.32.33-equpoi33.34.35.36.37.38.

Answered: Image /qna-images/answer/0af0f258-839c-483b-ab3a-4b53d08f90d8.jpg

Answered: with an arrow the direction in which t…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.5: Polar Coordinates

Problem 98E

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