10. This problem shows how a surge can be modeled with a difference of exponential decay functions. (a) Using graphs of e and e, explain why the graph of f(t) = e-e-t has the shape of a surge. (b) Find the critical point and inflection point of f.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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10. This problem shows how a surge can be modeled with a
difference of exponential decay functions.
(a) Using graphs of e and e-, explain why the
graph of f(t) = e-e- has the shape of a surge.
(b) Find the critical point and inflection point of f.
Transcribed Image Text:10. This problem shows how a surge can be modeled with a difference of exponential decay functions. (a) Using graphs of e and e-, explain why the graph of f(t) = e-e- has the shape of a surge. (b) Find the critical point and inflection point of f.
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