In Section 7.3, work problems:

Do these problems after Exam 3:

• 37 – 40 all,
  38   Answer:   e^–2s / (s+1)
  40   Answer:   e^–s ( 3/s² + 4/s )

• 41 – 47 odd,

• 55, 56, 57, 59, 60,
  56   Answer:   f(t) = 1 – U(t – 4) + U(t – 5),     1/s – (1/s)e^–4s + (1/s)e^–5s
  60   Answer:   f(t) = sin t – sin t U(t – 2π),     1/(s²+1) – e^–2πs / (s²+1)    because sin(t + 2π) = sin t.

• 63 – 69 odd

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Study and work through these examples:

1. Example 3
   
2. Example 4
   

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