To-graph: Two sets of parametric equations with the use of graphing utility. First set of parametric equations are x = t − sin t and y = 1 − cos t over the interval [ 0 , 2 π ] . And, the second set of parametric equations are x = 2 t − sin ( 2 t ) and y = 1 − cos ( 2 t ) over the interval [ 0 , π ] .
To-graph: Two sets of parametric equations with the use of graphing utility. First set of parametric equations are x = t − sin t and y = 1 − cos t over the interval [ 0 , 2 π ] . And, the second set of parametric equations are x = 2 t − sin ( 2 t ) and y = 1 − cos ( 2 t ) over the interval [ 0 , π ] .
Solution Summary: The author explains how to graph two sets of parametric equations with the use of graphing utility.
To-graph: Two sets of parametric equations with the use of graphing utility. First set of parametric equations are x=t−sint and y=1−cost over the interval [0,2π]. And, the second set of parametric equations are x=2t−sin(2t) and y=1−cos(2t) over the interval [0,π].
(b)
To determine
To calculate: The inference about the average speeds of the particle on the paths represented by the two set of parametric equations in part (a).
(c)
To determine
To calculate: The time required for a particle to traverse the same path as in parts (a) and (b) when the path is modelled by x=12t−sin(12t) and y=1−cos(12t).
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