Suppose that p(t) is a differentiable function with $'(1) S kø(1) (k > 0) for 1 2 a. Multiply both sides by e-kt, then transpose to show that for t 2 a. Then apply the mean value theorem to conclude that $(1) < ¢(a)ek(t-a) for t2 a.
Suppose that p(t) is a differentiable function with $'(1) S kø(1) (k > 0) for 1 2 a. Multiply both sides by e-kt, then transpose to show that for t 2 a. Then apply the mean value theorem to conclude that $(1) < ¢(a)ek(t-a) for t2 a.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Given: Suppose is a differentiable function with (k>0) such that .
To Prove: for , .
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