Find the Laplace Transform of the piecewise function. w(t) = { ,0 4. %3D ° s2+e-4s (2+8s+14s²) g2 0 2s² +e-4s (2+8s+14s²) 83 O 35²+e-4s (4+16s+8s²) g3 2s2 +e4s (2+8s+14s2) s2

Q: Find the Laplace Transform of the piecewise function. j(t) = { S 4 4 + 5(t – 2)et-2 ,0 2. 5se -2s…

A: The solution are next step

Q: Find the Laplace Transform of the piecewise function. ,0 2. 4 j(t) = { 4+5(t – 2)et-2 O 5se2s +4s2…

A: Laplace transferom

Q: Perform the Laplace transform of the F(s) column then substitute the value t=O and select the…

A: Given - F(s)=2s+8s2+3s+2 We need to find Laplace transform and then substituting t=0. Here we will…

Q: If the Laplace Transform of F (t) = t sin(t) is 24s (s2-1) f (s) = what is the Laplace Transform of…

A: To solve given question we use the first shifting theorem and solve.

Q: Find the Laplace transform of f (t) = (t2 + 1)2 s4+4s2 +24 А. s4+2s2+1 С. s3 s3 s2+4s+24 В. s3…

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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: The inverse of Laplace transform of F(s) = S-4 is s2-4s+4 %3D e2t (1 – 2t) (1 – 2t) the above the…

A: Using Partial fractions method, F(s) can be decomposed into

Q: Find the Laplace transform of : F (t) = (e – 2tm) e-5t f (s) = 8n! s-5 (s–5)4n+1 8n! f (s) = le s+5…

A:

Q: Find the Laplace transform of g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) 4s 2s A G (s) = + s2+ 16 s2+ 16…

A: * We have to find the Laplace transform of the function g(t)=4cos(4t)-9sin(4t)+2cos(10t) . * We have…

Q: Find the inverse Laplace transform of 10 F(s) = s2 - 6s + 13 | 5e-3tsin2t 5e3tsin2t C 5e-3tcos2t D…

A:

Q: Find the Laplace transform of f(t) = 6e +e* + 5t² -9 16 4 F(s) = - +- S-5 9. A + S-4 5 F(s) = - S+6…

A:

Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

A:

Q: Find the Laplace transform for ( 2, 0<t<4 f(t) = } 5, 4St<7 7, t27 4+3e-35+2 e-7s A) F(s) 4+3e45 -55…

A: Given function is f(t)

Q: 3s Find the Inverse Laplace Transform of s2+4s+ 13 (А) -2° ( 3sin3t+2cos3t) B e" (3cos2t – 2sin2t)…

A:

Q: Find the Laplace Transform of the piecewise function. ,0 <t < 2; j(t) = 4+5(t – 2)e- t22. { 6. %3D…

A: We need to  find Laplace transform.

Q: Find the Laplace Transform of f(t) = [e-t+2t³] %3D 6 + s-1 1 F(s) = s4 12 + s-1 b. 1 ' F(s) s4 C.…

A:

Q: Find the Laplace transform of : F(t) = (e - 2ttn) e-5t %3D | Of(s) = e 8n! s+5 (s+5)8n+1 2(4n)! f…

A:

Q: Find the Laplace transform of f(t) = 4 + 3t – 5t2 – 2(t – 1) а. (6s2 -s - 10)/s3 b. ( 6s? + s -…

A:

Q: The inverse Laplace transform of F(s)= 5s+2 is Select the correct answer 3e -5-2t- -5+2r+ 7e 3e…

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Q: Determine the Laplace transform for L{t²e³t} 1- F(s) = O Option 1 2 (s-3)³ 3- F(s) = Option 3 (s-3)²…

A:

Q: Find the Laplace Transform of f(t) = sin2tcost (A) B 2 s+55² +4 2 E s² +3 s+10s² +9. +(57+55²+4) Ⓒ4…

A:

Q: Find the Laplace transform of f (t) = {5-1 O2 s2 e-2s s2

A: This question based on Laplace Transformation.

Q: The Laplace transform of f (t) = e-3t cos(2t) + 2te3t is: 5 1 F(s) s²-6s+34 s2+4s+4 This option s+3…

A: Last option is correct answer . Thankyou !

Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

A:

Q: Give the Laplace transform of 3x f(x): 0 <x and x < 3 -4 3 3x 3 2 + 2 -3s 4 F(s) = + e 3 -3s 15 3 10…

A: Option C is correct.

Q: Find the Inverse Laplace Transform 2s+11 (i) using the method of residues. (s+1)(s²-5s+6) (ii) 5…

A: To find the inverse Laplace Transform:

Q: Find the Laplace Transform of the piecewise function. 4 j(t) = { ,02. %3D 5se 2s +4s2 -8s+4 s2 -2s+1…

A:

Q: Find the laplace transform of f(t) = e-3t cos nt s+3 82 -6z+9+7? 8-3 s +6x+9+n 8+3 s2 +6s+9+7 8-3 g2…

A: Solution

Q: Find the Laplace Transform of f(t) = e2tu(t – 3) e3(s - 2) a. F(s) s-2 e3(2 - s) Ob. F(s) s-2 Oc.…

A:

Q: Find the Laplace Transform of f(t) = e2tu(t – 3) e3(s - 2) a. F(s) s-2 O b. F(s) : e-3s s-2 C. e3(2+…

A:

Q: Solve for the Laplace Transform of f(t) = t²sin 2t F(s) = F(s) = 16s² 4 (s²+4)³ (s²+4)² -45² (s²+4)³…

A:

Q: Find the inverse Laplace transform of 3s+2 F(s) = s2-3s+2 OA e+8e2t O B.-5e-t+8e2t OC.- Ste'+ 8e O…

A:

Q: The inverse Laplace transform of F (s) 5s+2 -is s2 (s² –1) %3D □-5-2t+ 특 + 7e 3e 2 3e t O -5 + 2t +…

A:

Q: Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) =…

A:

Q: 3s Find the Inverse Laplace Transform of s2+ 4s + 13 A) '(3sin3t+2cos3t) B e(2cos3t– 3sin3t) C…

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: Find the Laplace transform of the given function: St, Ost<2n f(t) 2ns t<0 1- (2as+1)e-2ns A. F(s) =…

A: We will find out the required value.

Q: * Find the Laplace transform -5 ado/3 -2t f(t) = te"sint S() 2s + 4 S S + 2S + 1 2 S + 1 s + 2 2s +…

A: This question is based on finding Laplace transform of f(t).

Q: Find the Laplace transform of the given function: 0<t<1 f(t) = {2 -t, 1<t<2 2< t<0 1- 2es +. A. F(S)…

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 inverse Laplace transform for F(s) = - is O a. 8e"(-9t)-6sinh3t O b. 8e"(-9t)-6cosh3t O c. 8e…

A: Consider the function: F(s)=8x+9-6x2-3. Find Inverse Laplace Transform. Apply Partial fraction on…

Q: Find the Laplace Transform of the piecewise function. 2 ,0<t< 4; w(t) = { 2 ,t2 4. 2s²+e-1$ (2+…

A:

Q: Use partial fractions to find the inverse Laplace transform of F(s) =  (2s3−s2) /(4s2−4s+5)2

A:

Q: What is the Laplace transform of the function F(1) =cos² 3t s2+ 18 s3+36s s2+4 В s3+36s s2+9 $3+18s…

A:

Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

A:

Q: Q1\ Find the Z-transform of A) cosh ( +a} B)는 u(k) pk = e" 00 where Lk=0 k! k!

A: We have to find the Z- transform of the given functions.

Q: Find the Laplace transform of the function: 0, f(t) = { e - 10t + 26, t2 5 t < 5 1 L(8) = e-5s 52 2…

A:

Q: Find the Laplace transform of the following function. (t+1)h(t – 2) + (t – 3)h(t – 4). F(s) 4 s2 O…

A: Solution: Given function is t+1ht-2+t-3ht-4   ......(1) We have to find the Laplace transform of…

Q: Find the Laplace transform for 2, 0<t <4 5, 4st <7 f(t) = } 7, t27 4+3e-35+2 e-7s A) F(s) =…

A: