Find F(s). L{(1 - e* + 3e-4t) cos(2t)} S 5-1 F(s) II + 52 + 52 - 2s + 5 3s +12 52 +85 + 20 x
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)).
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 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).
convert to radians 5) γ 4cos (2θ-5) r 3 (sin(e - 2))2 + 4 cos(20-5) r-6(sin(9-2))2 + 4 cos(2e-5) 9(sin(9-2))2 + 4 cos(2e-5) r 12(sin(e - 2))2 +4 cos(20 5) 5) γ 4cos (2θ-5) r 3 (sin(e - 2))2 + 4 cos(20-5) r-6(sin(9-2))2 + 4 cos(2e-5) 9(sin(9-2))2 + 4 cos(2e-5) r 12(sin(e - 2))2 +4 cos(20 5)
1. If f(x) = (2z? + 52+ 3)", then f,(1) is equal to OB, 10. ° C. 10 In(10) + 9. ○ E.-10. ° F. 10 ln(10)-9. O G. In(10) +9. 2. If g(z) = sin(F), then g'(ㆊ/16) is equal to ○C.TV2. OF-V2 3. If f(x) = sin(e"), then f,(z) İs equal to A. cos(er'). ○ B. cos(2zez?) ° C. 21 cos(e?) 0 D. 2 zer' cos(er'). ○ G.2xe2z sin(er') 4. If h(z) = In (7hT), then h'(z) is equal...
Please Show every step thank you. Question 4 Your answer is INCORRECT. Give the Laplace transform of f(x) = -2x2 – 3 + 3e3* cos(2x) - 3xe2x » ©F6)=-* 1) OF(S) ==* * = 5-65+ 13 6- 00F(0) - 4,2-68–13 6-232 b) +- 3s 32-65 +13 ( e) - . 3(3-2) s2 - 65 + 13 - S (S-2)2 1) None of the above. Question 5 Your answer is CORRECT. Give the inverse Laplace transform of F(s) = S-4 s(8...
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
1.) 2.) Find f(t) for the function F(s) = 52 - 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O =-24e-t+ + (-12)e-2t+6 +(-24)te-27 O 19 = (13e-++(-12)e-2t +(-24)te-210 O p0 = (13e-+ +(-24)e-2t+ (-12)te-24) (0) O 10 = 8e-t +(-12)e-2t *+ (-24)te-27 Identify f(t) for the function F (s) = 32 + 1 (s+3)(s2+4s+5) Multiple Choice 5e-3t_4e-2 tsin(t) О (5e-3t_4e-2tcos(f)( (5e-3t+4e-2tcos() 4e-36-5e-2tcos()
Select the correct statement. 3e-8 52 + 9 *} sin(3t) *e! O N {}={2- t <3 3 t > 3 O None of the other options о {*} = 6(e – 2)51 OL-{L {** f(t)}} = f(") (t) Select the correct statement. of{e * sin(2) +e*t} - 2+2+5 8 (-3) None of the other options O L {eztult - 3)} = e-3 L {e2(t-"}} w O (t + 1)2 5 (t-1) 5 x{05e-1) + at -1)}- di (-4e")+eos ${sin(t –...