uestion 3 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 4 2 -2 P 2 4 6 8 10 (f) Evaluate the limit lim h→0 12 t (a) Calculate P'(8) and interpret that 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). P' (2+h)-P' (2) h 14 (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).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
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Question 3 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
4
2
-2
P'
2 4 6 8
10
(f) Evaluate the limit lim
h→0
t
(a) Calculate P'(8) and interpret that 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).
12 14
(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).
P' (2 + h) − P' (2)
h
(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).
Transcribed Image Text:Question 3 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 4 2 -2 P' 2 4 6 8 10 (f) Evaluate the limit lim h→0 t (a) Calculate P'(8) and interpret that 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). 12 14 (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). P' (2 + h) − P' (2) h (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).
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