8. Find the length of the curve r(t) = <2cos t, 2sin t, t> from t = 1 tot = 5. 9. Find the curvature of the curve r(t) = <2cos t, 2sin t, t> at time t. 10. Find s(t), the length of the curve r(t) = <4cos t, 4sin t, 3t> from time 0 to t. What is the speed s'(t) of an object moving along this curve if r(t) represents its position at time t.

8. Find the length of the curve r(t) = <2cos t, 2sin t, t> from t = 1 tot = 5. 9. Find the curvature of the curve r(t) = <2cos t, 2sin t, t> at time t. 10. Find s(t), the length of the curve r(t) = <4cos t, 4sin t, 3t> from time 0 to t. What is the speed s'(t) of an object moving along this curve if r(t) represents its position at time t.

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 34E

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