QUESTION 12 Apply Laplace Inverse to find f(t): s +7 F(s) = 5(52 + 4s +3)...
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()
1.) 2.) 3.) Identify f(t) for the function F(s) 8(+ 2)(8 + 3) s(s + 2)(s + 4) Multiple Choice (3.00+ 2.00e-2t-3.00e-4540 4.00u(t+ 2.00e-2t+3.00e-4t O (3.00 + 2.00e-2t +3.00e-44 3.00u(t) +2.00 e e-2t+4.00e-4 Find f(t) for the function F(s) = 32- 8s + 4 (s + 1)(8 + 2)2 Multiple Choice O 29=-24e-t+ (-12) -2t *+(-24)te-27 О = (13e-t +(-12)e-2t + (-24)te-21) (1) + O 10 = (13e-*+(-24)e-2 +(-12)te-210 80 = 8e-T+(-12)e-2t + (-24)te-2t Identify f(t) for the function F...
Find the inverse Laplace transform of the function F(s) s +1 $2 - 8s + 20 * uz(t)e(4t-12) (cos(2t – 6) + 2.5 sin(2t – 6)) OF U3(t)e4t (cos(2t – 3) + 0.5 sin(2t – 3)) OC e(4t-12) (cos(2t – 3) + sin(2t – 3)) OD uz(t) (cos(2t – 6) + sin(2t – 6)) ОЕ uz(t) (e4t – 5t)
is 45-5 The inverse Laplace transform of F(s) = $?+9 Select the correct answer a. 4cos3t - 5sin 31 b. 2cos(2t) - sin (36) c. 2cos4 - 3sin 5t 5 d. 4 cos 3-sin 31 e. 4cos(26) - 5sin (31)
8. Find the Laplace transform e{f(t)} ( 3 points each) . a. f(t) = 7e4t – 2 cosh(5t) b. f(t) = 8 cos(2t) + 7 sinh(4t) – 5t4
1. (10 points) Find the inverse Laplace transform of the following: 85 - 4s +12 s? +45-5 b. F(x) = s(s? +2s + 5) 2. (10 points) Determine if the following differential equation is exact. Be sure give a reason for why or why not. If it is exact, solve it. (xy? + 3x y)+(x° +xºy)y'=0 a. F(s)= (1-25)e-
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
D Question 5 D Question 7 20 pts Find the Laplace transform. £{/0) of the following function: Solve the following Initial Value Problem: " + 4y = sint - Ul(t - 2) sin(t - 2n), y(0) -0,(0) = 0 * (+64 +5) +ed (cos(36) + sin(5t)) None of the given answers is correct Owt) --sint + sin(2t) - (t - 2x)} sin(t - 2x) - sin(21 – 2*))] (t) = sint - sin(2) - 11(- 21) sin(-2) - sin(2t -...
(1 point) Find the inverse Laplace transform f(t) = C-' (F(3)) of the function F(s) = 45 52 - 16 f(t) = -1 { 4s s2 - 16 } help (formulas) (6+4+2}- Preview My Answers Submit Answers
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...