q_a_3

course Mth173

???Y?????????k???assignment #003003.

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

06-22-2007

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01:10:40

`qNote that there are four questions in this assignment.

`q001. Sketch a graph similar to that you constructed for the stock values, this time for the depth of the water vs. clock time (depths 80, 40, 20 at clock times 10, 40, 90). Your first point, for example, will be (10, 80). Connect these points with straight lines and determine the slopes of the lines.

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RESPONSE -->

The slope of the first segment(40-80/40-10) = -40/30.

The slope of the second segment (40-20/40-90) = -20/50.

confidence assessment: 2

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01:15:45

`q002. Look at your results for the slopes, and look the results for the average rates of change. What do you notice? In what way then does the graph represent the average rate of change?

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RESPONSE -->

In the linear graph, we obviously only get a representation of the average rate. The straight line gives a constant decreasing rate of change of the depth. In an instantaneous model, the graph should represent a descending curve.

confidence assessment: 2

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01:22:57

`q003. To what extent do you think your graph with three points and straight line segments between them accurately depicts the detailed behavior of the water over the 80-second period of observation?

How do you think the actual behavior of the system differs from that of the graph?

How do you think the graph of the actual behavior of the system would differ from that of the graph you made?

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RESPONSE -->

With the three data points, we get a sufficient representation of a decreased average. The behavior of the water seems to be more predictable than the stock market. The graph of the actual behavior of the stock market would represent a much more flunctuating behavior. On the other hand, the water would be more of a descending curve.

confidence assessment: 2

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01:35:03

`q004. From the given information, do you think you can accurately infer the detailed behavior of the water depth over the 80-second period? Do you think you can infer the detailed behavior better than you could the values of the stocks? Why or why not?

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RESPONSE -->

The behavior of water would much more predictable than the values of the stocks. In a real world situation if a cylinder filled with water is leaking, it would be fairly easy to predict the behavior. Stocks on the other hand, are constantly changing and flunctuating.

confidence assessment: 2"

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Your work looks good. Let me know if you have any questions. &#