eat (A cos t + B sin t) + t²

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: 1 F(s) = s(s² +2s + 2)

A:

Q: s2-2s 4. F(s) = s4+5s2+4

A:

Q: Use the step function to calculate the transforms of the functions below. Evaluate at s = 1.

A: The transform of the function f(t) is represented as F(s), and it is defined as ∫0∞e-stf(t)dt, where…

Q: F(s)= (s +1)es» s²(s + 2) -5s

A:

Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: Problem 3. Which gives the inverse transforms of the given s-domain function?…

A: Given problem:-

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

A:

Q: e at -e bt

A:

Q: Find the Laplace transform

A: Given,

Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

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

A:

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

A: Laplace transform of the function

Q: f(t) = cos(-6t)U(t – n)

A:

Q: 5: F(s) = (+2s+1) +7

A:

Q: 1. x(t) = 3t5

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

Q: f(t) = e“U(t – 3)

A: The given function: f(t)=e4tU(t-3) To find the transforms of the function above at s=-4: Apply…

Q: t, f(t) = 2t - 1, 0, 0 < t < 1 0<t<2 otherwise

A: