Show algebraically that y = 4e + 5e can be written in the form y = A cosh(x - c). Calculate the values of A and c. A =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Using a calculator or computer, sketch the graph of y = 4e" +5e" for -3 ≤ x ≤ 3,0 ≤ y ≤ 20. Observe that it looks like the graph of y = cosh x.
Approximately where is its minimum?
Minimum at x =
Show algebraically that y = 4e" + 5e can be written in the form y = A cosh(x - c). Calculate the values of A and c.
A =
C =
Transcribed Image Text:Using a calculator or computer, sketch the graph of y = 4e" +5e" for -3 ≤ x ≤ 3,0 ≤ y ≤ 20. Observe that it looks like the graph of y = cosh x. Approximately where is its minimum? Minimum at x = Show algebraically that y = 4e" + 5e can be written in the form y = A cosh(x - c). Calculate the values of A and c. A = C =
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