f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108) D. (s2+36)3

Q: f(t) = t5e4t 120 А. (s-4)6 24 С. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

A:

Q: Find the Laplace transform of the function

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: TT f (t) = e-3t cos (at + cos ( 2at + 3. 2

A: Consider the function

Q: (a) f(t) = cosh² t (b) f(t) = 2 sinh? 2t 2

A: To find the Laplace transforms of the given functions we will use the following table of Laplace…

Q: (증) log| (s – 8) (s+8)

A:

Q: 4. f(t) = teatcosbt %3D

A:

Q: s+ 3 s2 – 2s + 5

A:

Q: 1. 3_ f(t) = 4 f(t) 0 1 -3 2 t4

A: 1. The given function can be mathematically represented as f(t)=2t,   0≤t≤∞ Hence the laplace…

Q: 3. tse-5t + tcost

A: Properties of lapalace transform Leat=1s-a Ltkft=-1kdkdskLftLa·ft+b·gt=a·Lft+b·Lgt

Q: f (t) = sin? 4t + cos? 4t 4+s А. s2 +16 С. s2 +32 В. s(s2 +16) D. s2+16

A:

Q: h(t) 8t - 7t³, ²+3t-4, 0st <2 122

A:

Q: 2. x(t) = e5t + cos 3t %3D

A:

Q: Find the Laplace transform of the following function:

A: The Laplace transform of the function is represented as or , it is defined as , since the…

Q: e at -e bt

A:

Q: Find the Laplace transform

A: Given,

Q: DIVISION BY t cos at-cos bt 1. g(t) = t

A: Given, gt=cosat-cosbtt

Q: 6S- 5 4s+7 2.

A:

Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: . f(t) = -2cos6t + 5sin6t %3D

A: Solution

Q: 3. x(t) = 3t7 + 8

A:

Q: 1 (e-v5t – evZt V2t )

A: To find the Laplace transform of the below function.1te−5t−e−2t

Q: d. L[3x7/2] L[6t10/3] e. f. £[x3 sinh 4x] -O

A:

Q: †3 – 12 +5t + 2

A: Laplace transformation of polynomial

Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

A:

Q: 1. f(1)=ru,(t) 2. f (t)=t e"sin (31)

A: (1) Given that f(t)=t2u3(t) The formula for laplace transform is, F(t)=∫0∞t2u3(t) e-as dt

Q: f(t) = 2t2 + 4t – 3 4+2s-3s? А. 4+4s-3s? С. s3 s3 2+2s-3s2 В. 2+4s-3s2 D. s3 s3

A:

Q: F(t) = 2T, 0 < t <3; F(t+ 3)u(t – -

A:

Q: y" - y' - 6y=t²e³t — 4t², y(0) = 0, y' (0) = -1

A:

Q: Find the Laplace Transform of the following functions

A: Complete solution is given below.

Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…