1.) 2.) 3.) Identify f(t) for the function F(s) 8(+ 2)(8 + 3) s(s + 2)(s...
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 the Laplace transform of the function in the figure. 8(t) 3 2 0 1 2 3t Multiple Choice (1 - es te 20 3e-3) O 1 (1 + es + e-25 – 3e-35) 1 (1 +e-s + e-25 + 32-35) (1 + es –e-28 + 3e-38) Identify the Laplace transform of the function in the given figure. h(t) 2 0 1 2 3 41 Multiple Choice 2(1 - 1 es - -35 - -45) O (1...
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 -...
dan Multiplication by t. 8. Find the following Laplace transforms using the formula L[t"f(t)] = (-1)", (a) [t3e-36] (b) C[(t + 2)2e'] (c) C[t(3 sin 2t - 2 cos 2t)] (d) L[tsin t] (e) C[t cosh 3t) (1) [(t-1)(t - 2) sin 3t] (g) [t3 cost] 9. Applying L[t"f(t)] = (-1)", , calculate (a) Sºte-3t sin t dt (b) Scºt?e-t cost dt recimento e contato Llegarsim 225 (-1)" IEC d'Fs) dsh
Problem 1: Let y()- r(t+2)-r(t+1)+r(t)-r(t-1)-u(t-1)-r(t-2)+r(t-3), where r(t) is the ramp function. a) plot y(t) b) plot y'() c) Plot y(2t-3) d) calculate the energy of y(t) note: r(t) = t for t 0 and 0 for t < 0 Problem 2: Let x(t)s u(t)-u(t-2) and y(t) = t[u(t)-u(t-1)] a) b) plot x(t) and y(t) evaluate graphically and plot z(t) = x(t) * y(t) Problem 3: An LTI system has the impulse response h(t) = 5e-tu(t)-16e-2tu(t) + 13e-3t u(t) The input...
o The function f(t) = f(t) = { if t 2 if t < 2 > is equal to H(t-2) (t-2)H(t-1) 1-H(t-2) OH(t-1) 2-H(t-1) (t-1)H(t-1) Which of the following expressions equals L[4H(t – 3)](s) ? Select all that apply (more than one answer is correct) 4e-38 L[1](s) 4e38 L[1](s) ( 4CHỦt – 3)](8) 4e3s 1 S 4e38 4e-3s 1 $2 2-30 w 4e-38 1 S 4e-38 L[t](s)
Given a continuous periodic function f ( t ) with period 3 T, let F ( s ) be the Laplace transform of f ( t ). Identify the correct expressions for A and B which make the formula for the Laplace transform of f ( t ) correct: F ( s ) = ∫ 0 A f ( t ) e − s t d t 1 − e B Group of answer choices Given a continuous periodic function...
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)
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
2t +1 if 0 <t< 2 Consider f(t) = { | 3t if t > 2. (a) Use the table of Laplace transforms directly to find the Laplace transform of f. (b) Express f in terms of the unit step function, then use Theorem 6.3.1 to find the Laplace transform of f.