By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

Q: use direct Fourier transform formula to prove thès 8o -at t é ut ult)

A:

Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

A:

Q: Explain fermat's little theorem.

A:

Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

A:

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

A:

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: ) Integrate from 9 to 13 the function: ( 1/ (x^2 + 6x) ). Calculate a floating-point value. ans:1

A:

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: 5dv 7e +3

A: The given integral is 5/(7e-v+3).

Q: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

A: Sol:-  f(x)=x3-x-1Here x 0 1 2 f(x) -1 -1 5 1st iteration :f(1)=-1&lt;0 &amp; f(2)=5&gt;0∴…

Q: Determine the inverse Laplace transform of F(s) %3D O le^(9t)] - [5e^(4t)] O le^(9t)] + [5e^(4t)] O…

A:

Q: Determine the inverse Laplace transform of F(s) = ¹/₂- O [e^(-9t)] - [5e^(-4t)] [e^(9t)] - [5e^(4t)]…

A:

Q: The Z-Transform of X(z) =5 (2^n)(u-2) is 5z/(z-2) True False

A: We're going to solve

Q: solve with fourier serires

A:

Q: PC=2х7-5x6+4x4-3*3+2*-4

A: We can use the intermediate value theorem and the fact that polynomials are continuous functions to…

Q: f) = Vx?+4x+4 9=3 Find (f") (@)

A:

Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

A:

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

A:

Q: Find the orthogonal trajection of the family of y=ax

A: In mathematics an orthogonal trajectory is a curve, which intersects any curve of a given pencil of…

Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

A:

Q: What is the inverse Laplace transform of 4s/(s^2+16) - 36/(s^2+16)? 4s 36 s²+16 s²+16 4cos(4t) -…

A: Here we have to find the inverse Laplace transform of  4ss2+16-36s2+16

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 Laplace transform of the following, 6/(s^2+4)^2

A: Introduction: Through inverse Laplace transformation, one can transform a function that lies in a…

Q: On the funchion FEs)- -8S+5 s +81

A: Here, in this problem inverse laplace of the function is to be determined. 2 different formula has…

Q: Given: s (s + 3) / (s^2 + 4)(s^2 + 6s + 10) . Express the inverse transform as an integral.

A:

Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

Q: determine the inverse laplace transform of the funtions   1. 1/2 / s^2+9   2. 1/(s+2)^2

A: If L-1Fs=ft, then L-1Fs-a=eatft. It is known that: L-1as2+a2=sinat and L-1n!sn+1=tn.

Q: find 2d Fourier transform of e^(-4pi*(x^2+y^2)) the answer is e^(-pi(x^2+y^2)/2) why?

A: Find the 2d Fourier transform of the given function and the 2D transform of f is defined by the…

Q: Find the laplace transform of [ 2/(s +1)]- [ 4/(s + 3) ].

A: If L[f(t)]=F(s), then f(t) is called inverse Laplace transform of F(s); f(t)=L-1[F(s)] Where;…

Q: show the equation z^2-4ln(5z+2) = 0 has atleast one root in the interval ( 0,4)

A: