CALENG3 Quiz 4

Question 1

Laplace Transform of t^n f(t)

Answer 1

(-1)^n F^n (s)

Question 2

Laplace Transform of tcos(kt)

Answer 2

(s^2-k^2) / (s^2+k^2)^2

Question 3

Laplace Transform of tsin(kt)

Answer 3

(2ks) / (s^2+k^2)^2

Question 4

Laplace Transform of sin(kt)-ktcos(kt)

Answer 4

(2k^3) / (s^2+k^2)^2

Question 5

Half Angle formula for sin^2 t

Answer 5

(1-cos 2t) / 2

Question 6

Half Angle formula for cos^2 t

Answer 6

(1+cos 2t) / 2