Rotate the picture around and change the settings in the plot window to answer the following questions. Seeing the path We started out by using a vector-valued function to describe the motion of a particle through space, but the space curve we have just been looking at is a static object, i.e., it doesn't contain any information about when the particle occupied a particular point in space, just a record of the sum total of the locations that the particle occupied. The space curve also contains no information about the relative speeds of the particle at different moments in time. We can take advantage of the way that Maple plots space curves to visually recover some of this lost information. Maple plots points for the value of the function at the endpoints of each segment.
Maple connects the plotted points with straight line segments.
Name this function P . Write down a brief description of what the curve looks like. Adjust your viewpoint so that the positive z -axis seems to be pointing straight out of the screen at you. Write down a brief description of what you see. Explain how you might have been able to predict the results knowing only the definition of P . 5.