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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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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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