A population of deer grow according to the model N(t) 12(5 + 3t) 1 +.04t 1 where t is in years and N represent the deer population. We wish to estimate the change in deer population from t = 5 to t = 6 using differentials. (a) Determine the derivative of N. N' (t): (b) The approximate change in deer population is dN= deer (c) The actual change in deer population is AN = deer (d) Determine the population of deer as t→→∞. N = Submit Question = E Sign

Calculus: Early Transcendentals
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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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A population of deer grow according to the model
N(t):
12(5 + 3t)
1 +.04t
where t is in years and N represent the deer population.
We wish to estimate the change in deer population from t = 5 to t = 6 using differentials.
(a) Determine the derivative of N.
N'(t) =
(b) The approximate change in deer population is
dN
deer
(c) The actual change in deer population is
AN
deer
(d) Determine the population of deer as t→→→∞o.
N =
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Transcribed Image Text:A population of deer grow according to the model N(t): 12(5 + 3t) 1 +.04t where t is in years and N represent the deer population. We wish to estimate the change in deer population from t = 5 to t = 6 using differentials. (a) Determine the derivative of N. N'(t) = (b) The approximate change in deer population is dN deer (c) The actual change in deer population is AN deer (d) Determine the population of deer as t→→→∞o. N = Submit Question DELL Sign out 10:51
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