Suppose the function p(t) models the size of the population of wolves in a forest at time t, where the population, p(t), is measured in the actual number of wolves, and the time, t, is measured in years since the wolves were reintroduced to the forest. a. What would be the units of p' (t)? b. What would we learn from calculating p(20)-p(0) ? 20-0 c. If we are told that p' (5) = 12, explain what this means in words, in the context of the problem. d. Which value would you expect to be greater: p' (3) or p' (50)? Briefly explain your reasoning in words in the context of the problem. Note there is not one correct answer to this question. You could make a case for either value being greater. What is critical is just that you explain your choice with accurate reasoning.
Suppose the function p(t) models the size of the population of wolves in a forest at time t, where the population, p(t), is measured in the actual number of wolves, and the time, t, is measured in years since the wolves were reintroduced to the forest. a. What would be the units of p' (t)? b. What would we learn from calculating p(20)-p(0) ? 20-0 c. If we are told that p' (5) = 12, explain what this means in words, in the context of the problem. d. Which value would you expect to be greater: p' (3) or p' (50)? Briefly explain your reasoning in words in the context of the problem. Note there is not one correct answer to this question. You could make a case for either value being greater. What is critical is just that you explain your choice with accurate reasoning.
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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Transcribed Image Text:Suppose the function p(t) models the size of
the population of wolves in a forest at time t, where the
population, p(t), is measured in the actual number of
wolves, and the time, t, is measured in years since the
wolves were reintroduced to the forest.
a. What would be the units of p' (t)?
b. What would we learn from calculating
p(20)-p(0)
?
20-0
c. If we are told that p' (5) = 12, explain what this
means in words, in the context of the problem.
d. Which value would you expect to be greater:
p' (3) or p' (50)? Briefly explain your reasoning in
words in the context of the problem. Note there is
not one correct answer to this question. You could
make a case for either value being greater. What is
critical is just that you explain your choice with
accurate reasoning.
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