The rate at which an animal population is changing is given by r(t) = 30 cost animals per month, where t represents time, in months, after January 1st. In other words, t = 0 represents the beginning of January. (a) Is the animal population increasing or decreasing at the beginning of February? At what rate? Clearly answer both questions, and include appropriate units. (b) At the beginning of April, is the population greater or less than it was at the beginning of February? How much greater or less? Clearly answer both questions, and include appropriate units.
The rate at which an animal population is changing is given by r(t) = 30 cost animals per month, where t represents time, in months, after January 1st. In other words, t = 0 represents the beginning of January. (a) Is the animal population increasing or decreasing at the beginning of February? At what rate? Clearly answer both questions, and include appropriate units. (b) At the beginning of April, is the population greater or less than it was at the beginning of February? How much greater or less? Clearly answer both questions, and include appropriate units.
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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
Transcribed Image Text:The rate at which an animal population is changing is given by r(t) = 30 cost animals per month, where t
represents time, in months, after January 1st. In other words, t = 0 represents the beginning of January.
(a) Is the animal population increasing or decreasing at the beginning of February? At what rate? Clearly
answer both questions, and include appropriate units.
(b) At the beginning of April, is the population greater or less than it was at the beginning of February?
How much greater or less? Clearly answer both questions, and include appropriate units.
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