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6. Mix and match. You may also answer "none of these" F(s) = L{ft) f(t)= {F($)}...
(1 point) Match the functions with the parametric curves labeled A†H. You may want to click on the thumbnail image to produce a larger--and correctly scaled--image in a new window. [ 2 + ] ! !! 1. f(t) = [ 43+1] 2. f(t) = 2 cos(t) | 3 sin(t) ] cos' (t) ] 3. f(t) = sin (1) 4. f(t) = et cos(t)] Le-sin(t) ] 5. f(t) = 3t – sin(t) ] 3 – cos(t)] te- 6. f(t) =...
QUESTION 12 Apply Laplace Inverse to find f(t): s +7 F(s) = 5(52 + 4s +3) Choose the correct answer: L-'[F(s)] = f() 1) f(1) = 4t’e-31 - 3e-+ + 7t 2) f(t) = 5t? - 3e-4 3) f(0) =2-31 - 3e-- + 4) f() = 6e-6 - e-31 +} QUESTION 13 Solve the ODE: 2 2 + 3ź - 2z = te-2 z(0) = 0 & ż(0) = -2 Choose the correct answer: 1) z(t) = -0.768 0.5t -...
true ir false. PLEASE answer asap! 1. If () is defined for t > 0, then its Laplace transform is given by S e rt)ds 2 c(cos 2t) - .. 3. с{:} = 4 4. (6e-ге) = 5. (ut – 3) + 2 (t – 5)) = " + 2 но оо оо оо wo oo o o o o 6. If (6) had period 4, then then c{f() = -le-stf(t) dt 7. г-1 А) = 3t?
2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t) = 14 + cos 3t + 3e-2t 2. 2 h(t) = (1 - 3t)? (Hint: expand...) 3. 2 g(t) = t sin’t (Hint: use half angle formula first...) 4. 2 h(t) = e-2 cos(v3t) - tet
Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
1. Find the Laplace transform of the function f(t) = 1 + 2t + 3e-3t - 5 sin(4t). Solution: 2. Find the inverse Laplace transform of F(s) = 7+ (8 + 4)(18 - 3s) (s - 3)(s – 1)(s + 4)" Solution:
1 point) Match the parametric equations with the graphs labeled A - F. As always, you may click on the thumbnail image to produce a larger image in a new window (sometimes exactly on top of the old one) 5·x=cos t, y = sint, z =Int 6. x = cos t, y = sint, z=sin 51 05 0. 1 point) Match the parametric equations with the graphs labeled A - F. As always, you may click on the thumbnail image...
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...
dn 6. Use the theorem, L {t" f(t)} = (-1)" den! F(s), to find each of the following: (a) L {t cos 2t} (b) L {t sint}
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 –...