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Speed From Parametric Equations

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The position of an object moving in the xyxy-plane for time t>0t > 0 is given by the parametric equations x(t)=3t−sin⁡(t)x(t) = 3t - \sin(t) and y(t)=4−cos⁡(t)y(t) = 4 - \cos(t). What is the speed of the object at time t=π3t = \displaystyle\frac{\pi}{3}?

A

6\displaystyle \sqrt{6}

B

3\displaystyle 3

C

8\displaystyle \sqrt{8}

D

7\displaystyle \sqrt{7}

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