76. Inverse of Laplace transform of
    

    10	is
    s² + 5s + 4

1. 1. 10 [e^-t + e^-4t]

   
   
   

   2. 10 [e^-t - e^-4t]

   
   
   

   3. 10/3 [e^-t + e^-4t]

   
   
   

   4. 10/3 [e^-t - e^-4t]

   
   
   

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   NA

   Correct Option: D

   NA

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77. If x(t) and its first derivative are Laplace transformable and the Laplace transform of x(t) is X(s), then is given by

1. 1. 

   
   
   

   2. 

   
   
   

   3. 

   
   
   

   4. 

   
   
   

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   NA

   Correct Option: A

   NA

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78. Double integration of a unit step function would lead to

1. 1. an impulse

   
   
   

   2. a parabola

   
   
   

   3. a ramp

   
   
   

   4. a doublet

   
   
   

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   Correct Option: B

   

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79. Which one of the following is the correct Laplace transform of the signal in the given figure?
    

1. 1. 1	[1 - e-Ts(1 + Ts)]
      T²

   
   
   

   2. 1	[e-Ts(1 + Ts)]
      T²

   
   
   

   3. 1	[e-Ts(1 - Ts)]
      T²

   
   
   

   4. 1	[1 - e-T(s + Ts)]
      T²

   
   
   

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   NA

   Correct Option: B

   NA

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80. I n Laplace transform, the variable ‘s’ equals (σ + jω). Which of the following represent the true nature of σ ?
    (1) σ has a damping effect.
    (2) σ is responsible for convergence of intergral
    (3) σ has a value less than zero Select the correct answer using the codes given below:

1. 1. 1, 2 and 3

   
   
   

   2. 1 and 2

   
   
   

   3. 2 and 3

   
   
   

   4. 1 and 3

   
   
   

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   NA

   Correct Option: B

   NA

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