14a. Two magazines, Alpha and Beta, were introduced at the same time with the same circulation of 100. The circulation of Alpha is given by the function A, which has the equation of change dA = 0.10A dt The circulation of Beta is given by the function B, which has the equation of change = 10 dt Here, t is the time in years since the magazines were introduced. a. One of these functions is growing in a linear way, whereas the other is growing exponentially. Identify which is which, and find formulas for both functions. Linear: Exponential: Formula: Formula:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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14a. Two magazines, Alpha and Beta, were introduced at the same time with the same
circulation of 100. The circulation of Alpha is given by the function A, which has the equation of
change
dA
= 0.10A
dt
The circulation of Beta is given by the function B, which has the equation of change
dB
= 10
dt
Here, t is the time in years since the magazines were introduced.
a. One of these functions is growing in a linear way, whereas the other is growing exponentially.
Identify which is which, and find formulas for both functions.
Linear:
Exponential:
Formula:
Formula:
Transcribed Image Text:14a. Two magazines, Alpha and Beta, were introduced at the same time with the same circulation of 100. The circulation of Alpha is given by the function A, which has the equation of change dA = 0.10A dt The circulation of Beta is given by the function B, which has the equation of change dB = 10 dt Here, t is the time in years since the magazines were introduced. a. One of these functions is growing in a linear way, whereas the other is growing exponentially. Identify which is which, and find formulas for both functions. Linear: Exponential: Formula: Formula:
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