800 3426 1848 2848 657 2336 735 Growth Rate = 29% Growth Rate = 4% Growth Rate = 7.5% Growth Rate = 103% Decay Rate = 19% Decay Rate = 5% Decay Rate = 0.2% || f(x): f(x) f(x)= f(x) f(x) f(x) = = = = = =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Given the Initial Value and Rate of Change, write the
exponential function for each of the following.
Initial Value
Rate
Function
f(x) =
800
Growth Rate 29%
f(x) =
3426
Growth Rate = 4%
f(x) =
1848
Growth Rate = 7.5%
f(x)
2848
Growth Rate = 103%
f(x)
657
Decay Rate 19%
f(x)
2336
Decay Rate = 5%
=
Transcribed Image Text:Given the Initial Value and Rate of Change, write the exponential function for each of the following. Initial Value Rate Function f(x) = 800 Growth Rate 29% f(x) = 3426 Growth Rate = 4% f(x) = 1848 Growth Rate = 7.5% f(x) 2848 Growth Rate = 103% f(x) 657 Decay Rate 19% f(x) 2336 Decay Rate = 5% =
800
3426
1848
2848
657
2336
735
Growth Rate = 29%
Growth Rate = 4%
Growth Rate = 7.5%
Growth Rate = 103%
Decay Rate 19%
Decay Rate = 5%
Decay Rate = 0.2%
f(x)
f(x)
f(x)
f(x)
f(x) =
f(x) =
=
=
Transcribed Image Text:800 3426 1848 2848 657 2336 735 Growth Rate = 29% Growth Rate = 4% Growth Rate = 7.5% Growth Rate = 103% Decay Rate 19% Decay Rate = 5% Decay Rate = 0.2% f(x) f(x) f(x) f(x) f(x) = f(x) = = =
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