Find the inverse Laplace transform e-2s L-1 s2 – 4 O 1 zuz sinh(t – 2) sinh2(t – 2) 1 z42 cosh2(t – 2) O 1 z42 sinh2(t – 2) O uz2(t – 2)

Q: 1- Find the Laplace transform for these functions (a)f(t) = e3t + 8 (b) f(t) = cos(6t) + 7sin(2t)…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: e-2t cos 3t cOS

A: The given question is related to Laplace Transform. The solution is explained below.

Q: 5- Which of the following is the inverse Laplace transform of the function X (s) = s+ 4s +8 -2t cost…

A:

Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

A:

Q: 2. L. |s +6s + 13 3s +1

A:

Q: 0. O hlt)= if t< 4 Find laplace transform for + cos(st) if +Z¢ 'a) e-4s e 40 s cos(20) + 5 sen(20)…

A:

Q: Find the Laplace transform of f (t) = e2t(3 sin 4t – 4 cos 4t) 3-4s 3-4s A. s2-4s+20 C. s2-4s+16…

A:

Q: 13. ) Find the Laplace transform of a) f) = 3e-t + 2 cos(t) – 5t3/2

A:

Q: 2s + 3 Find the Inverse Laplace Transform of F (8) s2+ 4s + 13 A f(1) = e2 2sin3t – -cos3t B f(1) =…

A:

Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

A:

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: 2 Determine the Laplace transform of f(t)-te"sin(3t) s-4 a. (s²-3s+5)² 6s-12 b. (s²-2s-6)² s-4 C.…

A: Given function is f(t) = te2tsin(3t)

Q: Find the Laplace transform for -4 f(t) = e'sin2t + e¯'cost 2 s + 1 2 s + 1 + s + 2s + 5 s - 2s + 2 2…

A:

Q: (A) Find Laplace transform of the function : f(t)=1 sin(2t+) cos(21-7)

A:

Q: 2s2 +13s+6 Find the inverse Laplace transform of H(s) = (s+2)2(s-1) assuming that a) h(t) is causal…

A: We will find out the required inverse Laplace transform of H(s)

Q: * Find the Laplace transform -5 -21 sint f(t) = te' -21 s + 2 2s + 4 (s² + 4s + 5)- (s² + 4s + 5)? 0…

A:

Q: (A)Find Laplace transform of the functions : ) S(x)= 4e" sin 3rsin Sx (1) /()-6 sinh 6 (i) (B) What…

A: Laplace Transform  Given a function F(t) defined for all real t≥ 0, the Laplace transform of F(t) is…

Q: Find the inverse Laplace transform for - 3t . ft) = %e* 7 (a)) F(s): %3D (s +3)3 , fGt) -e(2 cos 3t…

A: Inverse laplace transform

Q: 1 The inverse Laplace transform: a{, is: Is²– 36) - (A) 6sin(61 ) (B) -cosh(6t) 1 -sinh(6t) (D) None

A: It is given    Gs=1s2-36=1s2-62         =1·66s2-62=16·6s2-62   The inverse transform is then…

Q: Obtain the inverse Laplace transform: 4s+4 s2 (s-2) O exp(2t) -3 - 2 cos t O 5exp(2t) -3 - 2 sin t O…

A: Let f(t) be a function of t defined for all positive values of t. Then the Laplace transform of…

Q: Consider the IVP: y" - y' + 2y = 8sin(2t) - 8, with y(0) = -2, y'(0) = -4. Solve the IVP by using…

A: Given IVP is y''-y'+2y=8sin2t-8              (i) With y0=-2, y'0=-4 Taking Laplace transformation of…

Q: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

A:

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

A:

Q: Determine the Inverse Laplace Transform of 13s² + 46s + 133 H(s) = (s + 1)² (s² + 6s+25)

A:

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: 2. Use the Laplace Transform table to find Laplace Transform of a) f(t) = sin 2t b) f(t) = e-2t cos…

A: Solution-

Q: The inverse laplace transform of 3s2+4/s(s2+4) is A. 1+cos 2t B. 1+3cos 2t C. 1+2cos 2t D.1+3cos t

A:

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: 1. Prove that a. a L{sin at} = a²+s² b. Find Laplace transforms of the followings i. sin 3t + e2t…

A:

Q: * Find the inverse Laplace transform for-5 1 F(S) S + 25 5 sin(5t) 1 sin(5t) 1 s O 0 خیار 3 sin(5t)…

A:

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: 3s-10 Find the inverse Laplace transform of F (s) = s2+4 O f (t) = 3 cos(21) – 5 sin(2t) O f (t) = 2…

A:

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: Find Laplace transform of R) =-t+1#0st<1 OA 1 es OB 1 1 es OC. 1 1 OD Non of the above. OE 1 1 e-s…

A:

Q: Q6) A-Show that: a) X(f)=X*(-f) 4 To/2 b) if x(t) is even, then b=0, ano/²x(t) cos(2πnfot) dt…

A: Solution : A) a) X(f)=∫-∞∞x(t)e-jftdt X*(f)=∫-∞∞x(t)e-jftdt* X*(f)=∫-∞∞x*(t)ejftdt…

Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 13 re A 8(1) = - 3e -'cosh(V51) +…

A:

Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

A:

Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 -4i sinh (/51) 13 8 (t) = – 3e…

A:

Q: 1. Find the Laplace transform of f(t) = (t-3)u,(t)-(-2)u,(t). (s-3)e2 s +6s +13 2. Find inverse…

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: 4. Find the Laplace transforms of a) Sinh 3t cos²t | cos (t-2n/3), b) t > 2t/3 14, c) t'e'sin6t. t <…

A:

Q: * Find the Laplace transform for -4 f(t) = e'sin2t + e'cost S s + 1 + 2 s¯ + 1 s* + 2s + 5 s - 2s +…

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: 134 Second Year Dr. Atheer Alaa Sabri Mathematics Electrical & Electronic Engineering Department…

A:

Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: Find the Laplace Transform ofe 2 cos3t + 5e21 sin3t s+2 15 A g2+9 s2+9 (s+ 2) + 15 в (s2+4s) + 13 15…

A:

Q: Q9. (a) i. Find Fourier transform off (x) = x e¯*,0< x < ∞. ii. Find the inverse Fourier sine…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.