Differentiation QUESTION

網路上的路人甲

2013-10-22 6:08 am

HERE IS THE PICTURE OF THE QUESTION: http://imageshack.us/scaled/landing/51/qk3z.png

THE ANWER FOR A IS : The rate starts small, grows rapidly, level offs, then decreases and becomes negative.

For B is that (1932,2.5) and (1937,4.3);the rate of change of population density starts to decrease in 1932 and start to increase in 1937

請師兄姐們講解一下答案,謝謝!

回答 (1)

用戶10012

2013-10-22 4:09 pm

✔ 最佳答案

By definition, rate of change of population density = change in population density P(t)/change in time t.
Year Change in t Change in P(t) Rate of change,R Description
27 - 30 3 + 0.5 + 0.17 starts small
30 - 32 2 + 1.9 + 0.95 grows rapidly
32 - 34 2 + 2.1 + 1.05 "
34 - 36 2 + 0.2 + 0.1 level offs
36 - 38 2 - 1.4 - 0.7 decreases & - ve
38 - 40 2 - 0.5 - 0.25 - ve.
The points of inflection can be determined by the rate of change of R, but with so few data, it is hard to find them, so cannot explain the answer of part B to you, sorry.

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