Mathematics

Instructions

Answer all of the questions from each of the four sections below.

NOTE: It is very important that you show all of your working.

You can do your working either on Word or Excel, or alternatively using pen and paper. If

you use pen and paper, you must write legibly and neatly, and then must scan your

Section 1: Find the following Laplace transforms (12 marks)

A) ( ) = 1 − 2

−2

B) = (4 )

C) ( ) = sin(2 ) cos(2 )

D) ( ) =

2

Section 2: Find these Inverse Laplace Transforms (24 marks)

A) ( ) =

1

( +1)( +2)

B) ( ) =

4

−2

3

+5

C) ( ) =

4

2

1

2 +

5

3 +

2

4

D) ( ) =

1

2−8 +17

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