16. The function f(t) shown in the given figure will have Laplace transform as
    

1. 1. 1	-	1	e-s -	1	e-2x
      s²		s		s²

   
   
   

   2. 1	(1 - e-s - e-2s)
      s²

   
   
   

   3. 1	(1 - e-s - e-2s)
      s

   
   
   

   4. 1	(1 - e-s - e-2s)
      s²

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: D

   NA

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17. The output of a linear system to a unit step input u(t) is t² e^t.
    The system function H(s) is

1. 1. 2
      s²(s + 2)

   
   
   

   2. 2
      (s + 2)²

   
   
   

   3. 2
      (s + 2)³

   
   
   

   4. 2s
      (s + 2)³

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: D

   NA

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18. Laplace transform of e^–at sin ωt is

1. 1. ω
      (s + a)² + ω²

   
   
   

   2. ω
      (s - a)² + ω²

   
   
   

   3. ω
      (s - a)² - ω²

   
   
   

   4. ω
      (s + a)² - ω²

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: D

   NA

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19. If ƒ(t) = F(s), then ƒ(t– T) is equal to

1. 1. e^sT F(s)

   
   
   

   2. e^{– sT} F(s)

   
   
   

   3. F(s)
      1 + esT

   
   
   

   4. F(s)
      1 - e - sT

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: A

   NA

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