4. Determine the Laplace transform of (1+ e-t)? 7s-78-10 a. s(s+1)(s+2) 145+2s+13 b. 5(s+1)(s+2) 25-3s+10 C. s(s+1)(8+2) 4s+4s+6 d. s(s+1)(s+2)

Q: The Laplace transform of -5t, Select one: O F(s) 3e-5(s+2) s+2 F(s) = 3e-2s S O F(s) 3e-2s+5 s+5

A: Formula Used: 1) L{ect g(t)}=G(s-c)2) L{u(t-c)}=e-css

Q: 1) Find the inverse Laplace transform of the following: a) L-1 s+1 ans:A = , B=- e* -e s2-7s+6. 5' 5…

A:

Q: O 24/(s+4)4 Determine the Laplace Transform of 4t3e-4t. 24/(s+3)5 O 24(s-3)5 O 24/(s-4)4

A:

Q: s²+6s+9 L-1 Is3+s²-10s+8

A: Inverse Laplace transferom

Q: Give the Laplace transform of 0<x and x <5 5 <x and x <7 -3 f(x) = -2 -s - e +4 e-5- e7+0e-7. FYs) =…

A:

Q: Obtain the laplace transform of f(t) =e" c4e2t +5)? () (능등) 4 2 S-2 b - 16 40 25 S-3 S-I Stl C. 16.…

A:

Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

A:

Q: The Laplace transform of the function f(t) = e³-¹(2t - e³t)² is: [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^2]…

A:

Q: Which of the following is the laplace transform of f(t)=te 4t sin3t? O a. 6(s-4)/((s-4)^(2)+9)^(2) O…

A:

Q: Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF…

A: A detailed solution is given below.

Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: If y" -6y' +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? 8 s²-68+9 + 10…

A:

Q: Match the correct inverse laplace transform of the given function. 1-3s 5t 3 + 19e-2t A. s2 + 8s +21…

A: Solution:     1-33S2+83+21The inverse Laplace transformL-11-33S2+83+21=…

Q: 1) Find the inverse Laplace transform of the following: s+1 а) L-1 [s²-7s+6) ans: A = B=- 7 | 5' 5…

A:

Q: Find the laplace transform of ƒ (t) = 2t³ – 6t – 8 -8s³+12s-6 OF (s) = 84 OF (s) 6s³-8s-12 84 ○ F…

A: Given that,  f(t)=2t3-6t-8

Q: Determine the Laplace Transform of 413e-4t O 24(s+3)5 O 24(s-3)5 O 24/(s-4)4 O 24/(s+4)4

A: We know, Laplace transform of tneat is Ltneat=n!(s-a)n+1

Q: Find the Laplace transform of 6e5tcos2t - e7 6(s – 5) 1 (A (s – 5)2+4 s- 7 B s2+4 s- 7 (s – 5) 1 (s…

A: For the solution of the problem follow the next step.

Q: The Laplace transform of f (t) = e-3t cos(2t)+2te3t is: 1 F(s) = F(s) = %3D s2-4s+53 s2-6s+9 s2…

A: Use the following formulas to find the Laplace transform of f(t) .…

Q: 19 Find the Inverse Laplace Transform of H (s) %3D s+2 + 3s – 5 A) h(t) = 19e-2 3 - -e +- 5t 1 = 19e…

A:

Q: Give the Laplace transform of 2 0 <x and x < 3 (x) = 3<x and x <4 4 4 3x -3s +e3* + 5 3 -4 + 2 e*'s…

A: Inverse Laplace transferom

Q: Find the Laplace Transform of cos(2t) + 7sin(2t) 14 A 7+4 + s2+4' s2-4 s+ 14 B 52+4 14 s2+4 s2+4 s-…

A:

Q: Determine the Laplace transform for s+2 1- F(s) = ln ³+² S-3 O Option 1 3- F(s) = √√s +3-√s-2 Option…

A:

Q: Which of the following is the expression to be ob tained when the Laplace transform is applied to…

A: We are given the differential equation :  2y''-3y'-2y=te2t Applying Laplace transform to both the…

Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…

A:

Q: Find the Laplace Transform of e4t + 5 + - S-4 B 1 + - .4 1 s+4 1 + S+4

A: We have to find the Laplace transform.

Q: The Laplace transform of L e-3tt4| is 4 (s + 3)5 3! (s +4)5 4! (s +3)4 4! (s +3)5

A: To find: Laplace transform of  L[e-3tt4].

Q: The Laplace transform of L(t – 5)²e¬3t _is - 2! 10 25 + (s – 3)3 (s+3)² (s + 3) - 2! 10 25 + (s +3)³…

A:

Q: 3. Which of the following is the Laplace transform of sin (2t) - 2tcos (2t) ? A. s^2 / (s^2 + 4) ^2…

A:

Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)…

A:

Q: 6. The Laplace transform of e^-5t is * O (1/5)-s O (1/s)-5 O 1/(5-s) O 1/(s-5)

A:

Q: Find the inverse Laplace transform of e-2s 8 - s2 о (1 - е')u(2 — t) О (1- e-?)(1 - и(t - 2)) O (1-…

A: We will find out the required value.

Q: Laplace transform of (1 – e-Tt)2 is 2 2 1 s +7 2 s + 14 1 1 s+7 s+ 14 2 + s+7 3 1 1 14 1 1 s+7 s +…

A:

Q: -3t The Laplace transform of L(t – 5)²e is - 2! 10 25 3 2! 10 25 (s – 3)3 (s + 3)² (s + 3) 2! 10 25…

A:

Q: The Laplace transform of L(t + 5)²et is 2! 10 25 (s – 4)3 (s – 4)2 (s – 4) - 2! 10! 25 (s – 4)3 (s –…

A:

Q: The Laplace transform of L(t - 7)2e t is 2! 14 49 (s + 4)3 (s + 4)2 (s+ 4) 2! 14 49 (s – 4)3 (s+4)2…

A: Given :

Q: 2. Determine the Laplace transform of f(t)=teªsin(3t) s-4 а. (s2-3s+5)? 6s-12 b. (s2-2s-6)2 s-4 C.…

A:

Q: The Laplace transform of L(t – 7)²e-4t _is 2! 14 49 (s + 4)³ 3 (s + 4)² (s + 4) 2! 14 49 (s + 4)³…

A:

Q: -25 The inverse Laplace transform of F(s) = A. 0.2(1-e St-5))u(t - 5) B. 0.5(1-e 5(-2))u(t- 2) C.…

A: Given  Fs=e-2sss+5

Q: The Laplace transform of L(t-5)²e is 2! 10 (s+3)3 (s+3)2 (s+3) 2! 10 25 (s+3)3 (s+3)2 (s+3) 2! 10 25…

A:

Q: Find the laplace transform of ƒ (t) = 2t² + 4t – 5 OF (s) = 5s5+484+4s³ 86 OF (s) -58²-4s+4 83 OF…

A:

Q: Determine the Laplace Transform of 2e' (cos 3t – 3 sin 3t) 2(s+10) А. s2-2s+10 2(s-10) C. s2-2s+10…

A:

Q: What is the Laplace Transform of f(t) = 3t + 4 ? A. 4/s² + 3/s C. 3/s² + 4/s B. 3/s² - 4/s D. 4/s² -…

A:

Q: The Laplace transform of Le-3t| is 3! (s + 4)5 4! (s+ 3)4 4 + 3)5 4! (s+3)5

A: Answer ; d) 4!/(s+4)5

Q: 20. The inverse Laplace transform of is 100 (s + 10) (s+20) F(s) = a. f(t) = 10e10t + 20e-20t b.…

A:

Q: find the Laplace transform of e4x O 1/(s + 4) O 1/(s² - 4) O 1/(s - 16) O 1/(s - 4) O 4/(s - 4)

A: Given expression e4x. The objective is to find the Laplace transform of e4x.

Q: (2) Find Inverse Laplace transform for; 3 1 (1)F(s) = 3 (2)F(s)= s2 +4 (3)F(s)= s (s +1) s (s² +16)…

A: Given:                 Question 4: F(s)=2s2(s+4)                 Question 5: F(s)=1s(s-1s+1)…

Q: 2. Find the inverse Laplace Transform of the following left-sided signals a. X(s)=+2s +3 6s² +…

A: To find the inverse Laplace transform of…