course mth 163 I hope this is complete. It just sort of kicked me out abruptly. I tried to go back and step through, but that didn't really work. Please let me know if I need to re-do.Bess ??k?????????
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21:36:38 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 thouhgt the water would come out of the hole at a constant rate. But it didn't. As time went on, and there was less water in the cylander, less came out. confidence assessment: 2
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21:39:25 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 rate. I used the simulated data and plotted it on a chart. Not only can you look at the chart and see that the slope is decreasing at a decreasing rate, but if you take the values from the data and subtract the depth measures, they become less and less while the change in time remains the same. confidence assessment: 2
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21:39:41 ** 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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RESPONSE --> self critique assessment: 3
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21:45:06 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 gragh is decreasing at a decreasing rate. The graph intercepts the y-axis when the bottle is full and no time has elapsed yet. With my data, the graph does not intercept the x-axis, but should eventually when the depth reaches 0. The shape is somewhat of a line beginning to bend (upward slightly, but not increase). confidence assessment: 3
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21:45:54 ** 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 --> self critique assessment:
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?????y?r????????assignment #001 001. `query1 Precalculus I 09-02-2008 ?~???????????assignment #001 001. `query1 Precalculus I 09-02-2008