= 0 and L{f} = (s2 + 2s +5)(s - 1) A function f(t) has the following properties: f Ps – 10 is an unknown constant. Determine the value of P and find the function f(t). 28 +5)(-1): Where P
Find the inverse Laplace transformation of: a) F(s)- b) F,(s)--2 c) F(s) = 2,242 4 s2+6s +5 s2 +3s +1 3+2s+s s2 +9s +18 e) F(s)--一5 2s4 +12s+90 (s+2)(s +2s+2)
find. inverse Laplace transfer show step buy step soultion +8 (b) s(+16) 2s3 3s +6s+4 (s2 +4)(s2 +2s+2) (c) +3s + (d) 2 2 1 s-2s +s (e) (s+2)e (f 2s +1 22-6s3 (g) -3s +2 2(s22r4) (24) (h) 2 (i) (2s+1 ($2+8)e (i) (216) +8 (b) s(+16) 2s3 3s +6s+4 (s2 +4)(s2 +2s+2) (c) +3s + (d) 2 2 1 s-2s +s (e) (s+2)e (f 2s +1 22-6s3 (g) -3s +2 2(s22r4) (24) (h) 2 (i) (2s+1 ($2+8)e (i)...
Solve 2+2s+3 (s2 +2s+2)(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 +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...
Q2d 400 Gen(s+4)(s2+4s+5)(s+4s+2-3s+2+3) Find the partial fraction expansion of F(s) and then use the Laplace transform tables to find f(t) ft)- cos( t+ oju(t) COS
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
1s 2s 2p 3s*3p 4s 3d"4p 5s4d? 17. Which ion with a +1 charge has the electron configuration 1s 2s 2p 3s 3p 3d 4s 4p? Which ion with a -2 charge has this configuration? 18. Which of the following atoms contains only three valence electrons: Li, B, N, F, Ne? 19. Circle the atoms with two unpaired electrons. (a) Mg (b) Si (c) S 20. Place the following in order of increasing atomic radius. As 0 Br A) As...
5) Using the table, find the Laplace inverse of S-3 F(s) = s2 - 2s + 4 Do not use line (16) in the table. Elementary Laplace Transforms Y(s) = LF0) = {e=f(e)dt 0 f(t) = ('{F(s)) F(s) = {f} f(t) = ('{F(s)} F(s) = {f} 1. 1 12. uct) -CS S> 0 S> 0 2. 1 S-a -F(s) 13. ue(t)f(t-c) S> a 3. th, nez* n! 14. ectf(t) F(s-c) S>0 s+ 14. t", p>-1 r(p+1) 15. f(ct) S> 0...
Find f(t). 3s F-{ (s - 732 f(t) = 3e7t + 9tet X