assignment 1

Your work has been received. Please scroll through the document to see any inserted notes (inserte 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.

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15:53:56 Note that there are four questions in this assignment. `q001. If your stocks are worth $5000 in mid-March, $5300 in mid-July and $5500 in mid-December, during which period, March-July or July-December was your money growing faster?

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RESPONSE --> March-July

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15:55:57 `q002. What were the precise average rates of change during these two periods?

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RESPONSE --> $75 a month for the first period $40 a month for the next period

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15:58:32 `q003. If the water in a uniform cylinder is leaking from a hole in the bottom, and if the water depths at clock times t = 10, 40 and 90 seconds are respectively 80 cm, 40 cm and 20 cm, is the depth of the water changing more quickly or less quickly, on the average, between t = 10 sec and t = 40 sec, or between t = 40 sec and t = 90 sec?

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RESPONSE --> the depth is changing more quickly for period t = 10 sec to t = 40 sec than between t = 40 sec to t = 90 sec.

I'm sure you know why this is so, but remember to give a justification for every answer.

This is especially important on tests.

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16:00:17 `q004. How are the two preceding questions actually different versions of the same question? How it is the mathematical reasoning the same in both cases?

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RESPONSE --> the two questions are both about rates of change the method used to solve them is to divide the amount of change by the time it took for the change to occur and compare this result with results for the other rates of change.

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Good work, but be read my note.