11) An animal population oscillates over a 7 year period from a low of 800 in year t = 0 to a high of 2800, then back to the low of 800. P(t) represents the animal population as a function of time, t. a) Sketch P(t). State its midline, amplitude, and period. b) Write a formula for P(t). c) Find all the times in the first 14 years when the population was 1300.

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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11) An animal population oscillates over a 7 year period from a low of 800 in year t = 0 to a high
of 2800, then back to the low of 800. P(t) represents the animal population as a function of
time, t.
a) Sketch P(t). State its midline, amplitude, and period.
b) Write a formula for P(t).
c) Find all the times in the first 14 years when the population was 1300.
Transcribed Image Text:11) An animal population oscillates over a 7 year period from a low of 800 in year t = 0 to a high of 2800, then back to the low of 800. P(t) represents the animal population as a function of time, t. a) Sketch P(t). State its midline, amplitude, and period. b) Write a formula for P(t). c) Find all the times in the first 14 years when the population was 1300.
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