Question 5 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000. A graph of the derivative P'(t) is give below. Use it to answer the following questions. P 4 2 4 6 8 10 12 14 -2 (a) Estimate P'(8) and write a sentence interpreting its value in terms of the deer population. (b) Indicate the years during which the deer population declined. (c) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You do not need to find the values themselves: P'(1), P'(3), P'(6), P'(7), P'(9), P'(10). (d) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You do not need to find the values themselves: P(0), P(2), P(3), P(5), P(7), P(9). (e) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You do not need to find the values themselves: P(9), P(11), P(14), P(15). P (2+ h) — Р'(2) (f) Evaluate the limit lim h→0 to
Question 5 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000. A graph of the derivative P'(t) is give below. Use it to answer the following questions. P 4 2 4 6 8 10 12 14 -2 (a) Estimate P'(8) and write a sentence interpreting its value in terms of the deer population. (b) Indicate the years during which the deer population declined. (c) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You do not need to find the values themselves: P'(1), P'(3), P'(6), P'(7), P'(9), P'(10). (d) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You do not need to find the values themselves: P(0), P(2), P(3), P(5), P(7), P(9). (e) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You do not need to find the values themselves: P(9), P(11), P(14), P(15). P (2+ h) — Р'(2) (f) Evaluate the limit lim h→0 to
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Transcribed Image Text:Question 5 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000. A graph of
the derivative P'(t) is give below. Use it to answer the following questions.
6.
[P'
4
2
2
4
6.
8.
\10
12
14
-2
(a) Estimate P'(8) and write a sentence interpreting its value in terms of the deer population.
(b) Indicate the years during which the deer population declined.
(c) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You
do not need to find the values themselves: P'(1), P'(3), P'(6), P'(7), P'(9), P'(10).
(d) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You
do not need to find the values themselves: P(0), P(2), P(3), P(5), P(7), P(9).
(e) Order the following from least to greatest. If there is a tie, indicate that with an equals sign. You
do not need to find the values themselves: P(9), P(11), P(14), P(15).
P(2+ h) — Р'(2)
(f) Evaluate the limit lim
h→0
h
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