(a) Sketch the parametric curve below and indicate with an arrow the direction in which the curve is traced as t increas

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A Sketch The Parametric Curve Below And Indicate With An Arrow The Direction In Which The Curve Is Traced As T Increas 1 (434.33 KiB) Viewed 20 times

(a) Sketch the parametric curve below and indicate with an arrow the direction in which the curve is traced as t increases. (3) r(t) = y(t) = ²2, 15t54. 4 +2¹ (b) Set up, but do not evaluate, an integral for the arc length of the curve: (2) x(t) = 4, y(t) = 72/2 1 < t < 4. 12¹ (c) Set up, but do not evaluate, an integral for the surface area obtained by rotating the curve shown below about the y Sinhal aris. (2) x = 21³, y = 31². ()</≤ 5.