Suppose you are studying the graph of a population of a particular species and you determine that the tangent line at t = 3 is given by y = 19 - 4t. Assuming that the tangent - line provides a good approximation to the population of the species near t = 3, which of the following should hold? The population at t = 2.9 is less than than the а) population at t = 3, and the population at t = 3.1 is less than than the population at t = 3. The population at t = 3 is less than than the b) population at t = 3.1, and the population at t = 2.9 is less than than the population at t = 3. The population at t = 3 is less than than the population at t = 2.9, and the population at t = 3.1 is less than than the population at t = 3.

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...
Question
Suppose you are studying the graph of a population of a
particular species and you determine that the tangent line at
19
- 4t. Assuming that the tangent
2
= 3 is given by y =
-
line provides a good approximation to the population of the
species near t = 3, which of the following should hold?
The population at t = 2.9 is less than than the
а)
population at t =
3, and the population at t = 3.1
is less than than the population at t = 3.
The population at t = 3 is less than than the
b)
population at t = 3.1, and the population at
t = 2.9 is less than than the population at t = 3.
The population at t = 3 is less than than the
c)
population at t =
2.9, and the population at
t = 3.1 is less than than the population at t = 3.
Transcribed Image Text:Suppose you are studying the graph of a population of a particular species and you determine that the tangent line at 19 - 4t. Assuming that the tangent 2 = 3 is given by y = - line provides a good approximation to the population of the species near t = 3, which of the following should hold? The population at t = 2.9 is less than than the а) population at t = 3, and the population at t = 3.1 is less than than the population at t = 3. The population at t = 3 is less than than the b) population at t = 3.1, and the population at t = 2.9 is less than than the population at t = 3. The population at t = 3 is less than than the c) population at t = 2.9, and the population at t = 3.1 is less than than the population at t = 3.
The population at t = 3 is less than than the
O d) population at t = 3.1, and the population at
t = 2.9 is greater than than the population at
t = 3.
Transcribed Image Text:The population at t = 3 is less than than the O d) population at t = 3.1, and the population at t = 2.9 is greater than than the population at t = 3.
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