Use part ( c) of Theorem 4.1.1 to show that s-a+ib (s -a) 2 + b2 ' where a and bare real

Chapter 4, Problem 50

(choose chapter or problem)

Use part ( c) of Theorem 4.1.1 to show that s-a+ib (s -a) 2 + b2 ' where a and bare real and i 2 = -1. Show how Euler's formula ( page 119) can then be used to deduce the results {eat cos bt} and {eat sin bt} s-a (s -a) 2 + b2 b (s -a) 2 + b2

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