MODULE 8

Question 1

δ(t)

Answer 1

1

Question 2

Laplace Transform

Answer 2

• The Laplace Transform refers to an integral transform that converts real time domain function into discrete frequency signal.

Question 3

MATHEMATICAL FORMULA

Answer 3

X(s)=∫_(-∞)^∞▒〖x(t) e^(-st) dt〗

Question 4

u(t)

Answer 4

1/s

Question 5

〖 e〗^(-at)

Answer 5

1/s+a

Question 6

t

Answer 6

〖1/s〗^2

Question 7

t^2

Answer 7

〖n!/s〗^(n+1)

Question 8

〖 te〗^(-at)

Answer 8

〖1/(s+a)〗^2

Question 9

t^n 〖 e〗^(-at)

Answer 9

〖n!/(s+a)〗^(n+1)

Question 10

sin⁡(ωt)

Answer 10

〖ω/s〗^2+ω^2

Question 11

cos⁡(ωt)

Answer 11

〖s/s〗^2+ω^2

Question 12

〖 e〗^(-at) sin⁡(ωt)

Answer 12

〖ω/(s+a)〗^2+ω^2

Question 13

〖 e〗^(-at) cos⁡(ωt)

Answer 13

〖(s+a)/(s+a)〗^2+ω^2

Question 14

sin⁡(ωt+∅)

Answer 14

〖s sin⁡(∅)+ωcos⁡(∅)/s〗^2+ω^2

Question 15

cos⁡(ωt+∅)

Answer 15

〖ω cos⁡(∅)- s sin⁡(∅)/s〗^2+ω^2