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course Mth 173
10/7/2012 10 pm
Assignment 3Question 1-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.
My Solution-the three points are (10,80)(40,40),(90,20).From the first point to the second one the points run from 10 to 40.The second point rise from 40 to 20
Confidence-2
Self-Rating-2
Self-Critique-No
Question2- 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?
My Solution-The slope and the rate changes , because the points are rising which change the depth and would affect the slope
Confidence-2
Self-Critique-No
Self-Rating-2
Question 3-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?
My Solution- The straight line segments indicate a constant rate Base on the change of depth. It is fairly clear that as depth decreases, the rate of change of depth will decrease, so that the rate of change of depth will not be constant.
Confidence-2
Self-Rating-2
Self-Critique-No
Question 4-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?
My Solution- It will turn out that three data points will be sufficient to infer the detailed behavior, provided the data are accurate. We don't know on a given day whether the market will go up or down, but we do know that if we shoot a hole in the bottom of a full bucket the water level will decrease, and we expect that identical holes in identical buckets should result in the same depth vs. clock time behavior.
Confidence-2
Self-Rating-2
Self-Critique-NO
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Self-critique (if necessary):
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Self-critique rating:
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&#This looks good. Let me know if you have any questions. &#