QA 3

course MTH 271

09/08,1620

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assignment #003

003.

09-08-2009

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assignment #003

003.

09-08-2009

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16:09:31

`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 -->

Slope between point one (10,80) and point two (40,40): (80-40)/(10-40)=(40)/(-30)=-4/3

Slope between point two (40,40) and point three (20,90): (90-40)/(20-40)=(50)/(-20)=-5/2

confidence rating: 3

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16:10:53

`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 -->

The average rates of change are equal to the slopes. The graph shows that the depth of water is decreasing at a decreasing rate.

confidence rating: 3

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16:13:31

`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 -->

The graph including the straight lines between points accurately demonstrates the trend of the water loss. The depth decreases most quickly at first before slowing. This is evident in the value of the slopes of the lines. A more detailed graph, however, would show a cuved decreasing line instead of a linear graph.

confidence rating: 2

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16:15:12

`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 -->

I believe that the behavior of the water can accurately be inferred from the given information. The behavior of the water in this system is known and predictable. The stock values, however, would be impossible to accurately infer as we cannot predict the day-to-day gains and losses of the stock market.

confidence rating: 3

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&#I need to see the questions so I can be sure what your answers mean. Most of the time I can tell, but I'm dealing with information that comes in from over 1000 different files, containing a total of about 10 000 questions. While I'm familiar with the content and sequencing of the questions, having written them all, and know what I'm looking for, different students will answer these questions in different ways and I need to be able to relate your answers to the specific wording of each question. When reviewing my responses you will also need to be able to relate your answers and my comments to the specifics of the original document. So it will be important for you to insert your responses into a copy of the original document, according to instructions, without otherwise changing any of the content of the original document. This will ensure you of the best possible feedback on your work. &#