Find f(t) for: 2s + 5 s2 +3s + 2
find L^-1 {4s/s^2 + 2s -3} 4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
prove the following 2 F(s) Y (s) 2s + 2 s(s2 +2s + 2) 1 1 1 s + 1 1 2 2 S (1+di+) 1++) ) -3( s +1 1 1 1 -2ES 2 2 2 F(s) Y (s) 2s + 2 s(s2 +2s + 2) 1 1 1 s + 1 1 2 2 S (1+di+) 1++) ) -3( s +1 1 1 1 -2ES 2 2
3. Use method of residues to calculate inverse Laplace Transform of the following: s4-2s+1 s2 (s2+4) s2-2s+1 a) X(s (b) X(s) = (s+2)2+4
usio Exercise 3 H(s)- (s2+1 (s2+2s +1) ( 42st)
s2+2s+6 (1)Find fo if Fs) (+3)(s+1)2 (50 points)
Find the inverse Laplace transform a . 3 s4 - 2s s2 (3s2 + 4) 3 S4 – 25 (s + 1)(3s2 + 4s + 2) b.
Question 1- Plot the root loci for the closed-loop control systems with K s b) Gs)H(S)425+2 s2+2s+2 c) G (s)H(s) = K+22+2 K(s+2) K (s+6) K(s+18) K(s+4.5) = (s+5)(s2 +25+5) f) G (s)H(s) K (s2+3s+9) g) G (s)H(S)-(s+5)(s2+2s+s) h) G (s)H(s) = (s+5)(S2 + 25+5) i) G (s)H(s) = s(s+5)(s2+2s +5) Question 1- Plot the root loci for the closed-loop control systems with K s b) Gs)H(S)425+2 s2+2s+2 c) G (s)H(s) = K+22+2 K(s+2) K (s+6) K(s+18) K(s+4.5) = (s+5)(s2...
find L^-1 {2s+4 / s(s^2+4)} 2s+4 Find L s(s2+4) 5 -30 (write 576 by 6 e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t).
Find L^-1 {2s+7/ s^2 + 4s + 13} -1 Find L 2s+7 S2 +45 +13 (write 5/6 by 5 6 e{-3t} by e -3t and sin(2t) or cos(3t) by sin(2t) or cos(3t)).