nsform of f(t) = et-T sin 2rdr. %3D

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: s+7 s2-3s-10

A: If the Laplace transformation of the function: y(t) is Y(s), then it can be written that Ly(t)=Y(s)…

Q: 1 F(s) = (s - 2)(s - 4)(s -8)

A: Given the expression of the inverse Laplace expression is: F(s)=1(s-2)(s-4)(s-8) Use partial…

Q: dt (te-¹u (t))?

A:

Q: 25 s3(s2 +4s+5)

A:

Q: s2 +s - 2 X(s) : (s2 + 8s + 15)

A: According to the given information, it is required to find the inverse laplace transform.

Q: F(s)= (s +1)es» s²(s + 2) -5s

A:

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

A:

Q: e at -e bt

A:

Q: Find the Laplace transform

A: Given,

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: if 0 2 t Let f(t) 1

A:

Q: 1 s(s² +4)

A:

Q: trigonometric identities to find the Laplace Transform of the given function

A: We know the the identity, cos(2x)=1-sin2(x) so we have,            sin2(4x)=1-cos(8x) now we can use…

Q: .2 TX e cos(x)

A: Given, fx=e-πx2cosx ∴ℱfx=f~p=12π∫-∞∞eipxfxdx⇒ℱe-πx2cosx=12π∫-∞∞eipxe-πx2cosxdx…

Q: N (z−2)²

A: Follow the steps.

Q: How do you write the Laplace transform of this translated Heaviside function?

A: Given - ft = 0x < π1x ≥ π To find - Write the Laplace transform of given translated Heaviside…

Q: 2un + 1 NI n

A: Solution : Ƶ(2u(n)+0.5n)=? Ƶ(u(n))=zz-1     ROC=z>1   Ƶ(n)=∑n=0nz-n=zz-12     ROC=z>1…

Q: F(s) = L {e& cos(4t)} II

A:

Q: ssent, if 0n

A:

Q: 6s + 15 s >0 s2 + 25

A: The given function is    9s+15s2+25        s>0     we have to find inverse Laplace Transform of…

Q: 1. x(t) = 3t5

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