course MTH 163 I apologize for the tardiness of this assignment. I am not in the habit of turning in work late, however I had my days mixed up and my english assignments were turned in several days early, which is fine, but I thought that these assignment were not due until Wednesday. I'm glad I checked everything, before I waited that long. Sorry again. Also, I really feel like there should have been more to this assignment, please let me know if I forgot something.
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17:25:47 Query Introduction to General Themes; Examples (no summary needed) What were some of the things in this introduction that you found interesting or surprising?
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RESPONSE --> I found the entire experiment interesting. I thought it was a unique way to explain the quadratic function and its application...I just hope that what I got from the material was what I was supposed to...I found it to be very different from standard text book assignments. confidence assessment: 3
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17:27:26 Query Introductory Flow Experiment (no summary needed) Is the depth changing at a regular rate, at a faster and faster rate, or at a slower and slower rate? Support your conclusion.
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RESPONSE --> The depth is changing at a slower and slower decreasing rate. This is evident in the increasing amount of time it takes to reach a decreasing centimeter of depth. confidence assessment: 3
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17:28:16 01-21-2008 17:28:16 ** If you time the water at equal time intervals you should find that the depth changes by less and less with each new interval. If you timed the depth at equal intervals of depth you should find that each interval takes longer than the one before it. } Either way you would conclude that water flows from the hole at a decreasing rate. The reason is that as the water depth decreases the pressure forcing the water out of the hole decreases. **
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NOTES -------> Ok
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17:32:19 What does the graph of depth vs. clock time look like? Is it increasing or decreasing? Does the rate of increase or decrease speed up or slow down? Does your graph intercept the y axis? Does it intercept the x axis? How would you describe its overall shape?
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RESPONSE --> The graph of depth vs. clock time is the first of of a parabola. It is decreasing and the rate of decrease slows down. The graph should not intercept the y-axis, but should begin on the y-axis, in my experiment it began at (0, 15). The graph should also not intercept the x axis because the water will not flow below 0 - at 0 there is no more water. confidence assessment: 2
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17:33:26 ** The graph will start on the positive y axis and will decrease at a decreasing rate. The shape of the graph is the left-hand side of a parabola that opens upward. The right-hand half of the parabola does not correspond to the flow. The lef-hand half of the parabola, which corresponds to the flow, gets less and less steep with increasing clock time, matching the fact that that the rate of decrease is slowing. At the instant the containers empties, the water will be at the level of the hole. If depth is measured relative to the hole, then at the instant depth will reach zero. The corresponding graph point will lie on the t axis and will correspond to the vertex of the parabola. **
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RESPONSE --> Ok self critique assessment:
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