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14. A species of freshwater fish called Perch was introduced into a large lake. The equation below can be used to model the number of Perch in the lake as a function of the number of months since the Perch were introduced. You can assume no Perch were in the lake before the introduction. P(t) = 4000(1.3-0.84¹) (a) How many Perch were introduced in the lake? (b) Evaluate lim P(t). t-x (c) When will there be 4400 Perch in the lake? Give an exact answer and an answer to the nearest tenth.

14. A species of freshwater fish called Perch was introduced into a large lake. The equation below can be used to model the number of Perch in the lake as a function of the number of months since the Perch were introduced. You can assume no Perch were in the lake before the introduction. P(t) = 4000(1.3-0.84¹) (a) How many Perch were introduced in the lake? (b) Evaluate lim P(t). t-x (c) When will there be 4400 Perch in the lake? Give an exact answer and an answer to the nearest tenth.

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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14. A species of freshwater fish called Perch was introduced into a large lake. The equation below can be used to model the number of Perch in the lake as a function of the number of months since the Perch were introduced. You can assume no Perch were in the lake before the introduction. P(t) = 4000(1.3 – 0.84¹) (a) How many Perch were introduced in the lake? (b) Evaluate lim P(t). t→∞ When will there be 4400 Perch in the lake? Give an exact answer and an answer to the nearest tenth.
Transcribed Image Text:14. A species of freshwater fish called Perch was introduced into a large lake. The equation below can be used to model the number of Perch in the lake as a function of the number of months since the Perch were introduced. You can assume no Perch were in the lake before the introduction. P(t) = 4000(1.3 – 0.84¹) (a) How many Perch were introduced in the lake? (b) Evaluate lim P(t). t→∞ When will there be 4400 Perch in the lake? Give an exact answer and an answer to the nearest tenth.
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