1. Deduce the continuous function whose Laplace Transform is 10 F(p) P (p² + 9) 2.Find Р2—ЗР+10 (i) L-1 '\p+5)(p²+81)/ р-9 (ii) L-1 (p+1)(p-3). 9. (iii) Lp+0 (P+6)²+64

Q: Find the Laplace transform of f(t) = = = F(s) (3[e^(-9s)+e^(-8s)])/(s^(2)+pi^(2)) 0, 3 sin(at), 0, t…

A:

Q: The impulse response of a DT system is h[n] = 3^(n-1)u[n] . Calculate the input x[n] which generates…

A:

Q: f(t) = SO if 0 c where c> 0.

A: We have to solve given problem:

Q: (a) Suppose that k is an odd integer and w is a k-form. Show that w^w = 0. (b) Note: This question…

A:

Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

A:

Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 F(f) = = √e-i(+1) e-i(x,x) f(x) dx.…

A: Problem is solved using concept of Fourier Transform.

Q: Let f(x)=2 cos(5x)+3 sin(4x) and let q, be the Fourier polynomial of degree n for f. (a) Show that…

A: Given: fx=2cos5x+3sin4x The period is 2π as f2π+x=fx The fourier polynomial of degree n is:…

Q: Determine coefficients a and b such that p(x)=x^2+ax+b satisfies p(1)=6 and p′(1)=0

A: Since you have posted multiple question in this question which are nt interlinked so i have solved…

Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

A:

Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

A:

Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 {…

A: