Question

QUESTION 4

4.1 Determine L t Ht   2 ( 3)   (3)

4.2 Determine     2 3 4cosh3 t Le t . (2)

4.2 Determine 1

2

5

4 20

         

s L

s s

(5)

4.3 Determine 1

2

2 3

4 13

         

s L

s s

Answer 1

4.1 $(t-3)(e^{t-3})$

$te^{t-3}-3e^{t-3}$

root (t = 3)

4.2 $\dfrac{4s-3}{s²-4s-5}$

$\dfrac{4s-3}{(s+1)(s-5)} = \dfrac7{6(s+1)} +\dfrac{17}{6(s-5)}$