Fourier transform

Q: Fourier series

A: We want to approximate a periodic function f(t), with fundamental period T, with the Fourier Series:…

Q: Liebniz theorem

A:

Q: Preimage Image

A: Solution

Q: Fourier cosine transform of e^-2x + 4e^-3x

A: Solution: Definition The function Fcs is defined by Fcs=∫0∞fx·cossxdx is called Fourier cosine…

Q: Find the fourier transform of x*arctan(x) x*tan^-1(x)

A: Solution of the problem as follows

Q: invertible

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Q: differentiable and

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Q: Partial Differentiation. If u = In(x² + y²) and z = sin-1 *(÷), evaluat-

A: Differentiate the following

Q: angent method

A: Answer:  Tangent method

Q: DERIVATIVE OF A TRANS FORM 2t Lte sen6t

A: Use Laplace Transform table:   Ltkft=-1kdkdskLft

Q: Chi-Square test of Independence

A: Given Random variable X what type of car they Drive if they are student or staff. Here To test the…

Q: How can De Moivre's theorem be described?

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Q: an integrating factor for the

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Q: How can substitutions in single definite integrals be viewed as transformations of regions? What is…

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Q: Fourier series f(x)= x sinx 2 xe (7)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Fourier Integral Get a representation of the Fourier integral a)                f(x){…

A: Fourier Sine Integral: Fourier sine integral of is given by Fourier Cosine Integral: Fourier cosine…

Q: integrating factor

A: (D) is correct. We have to find out the integrating factor.

Q: Beta Function Prove that Vtan a do - 1//2.

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Q: dx

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Q: approximation to small error

A: we have to use linear approximation to to estimate 153. also we have to choose the value of a such…

Q: Divergent Theorem

A: We have to find out all the values of 'b' where It is given that  where

Q: Differentiation#29

A: Given,

Q: Empirical Rule.

A: Given that  The pair of kidneys weight normally distributed ( bell-shaped)  with  Mean (μ) = 325…

Q: Notation What does the notation za indicate?

A: Justification:The critical z values are denoted by zα and the values found by using the standard…

Q: Area under a curve

A: Let us consider the equation of curve be y = f(x).Let us consider two data points x = a and x = b,…

Q: Cramer's Rule.

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Q: The exponential map ex

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Q: nat value of th

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Q: arcsin x dr

A: Consider the integral  ∫arcsinxdx

Q: integral: 2² sin (-) dt du Evaluate the integral:

A: use substitution method and integration of parts for solving the integral

Q: LINEAR DIFFERENTIAL OPERATOR N FUNS TIO

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Q: ensor analys

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Q: Divergence Theorem.

A: We have to solve the given integral by divergence theorem. The given integral is ∫∫sdsa2x2+b2y2+c2z2…

Q: f(x) = x*exp(-ax²)

A: Given function is f(x)=xe-ax2 Since we know ℱe-ax2=12ae-ω24a

Q: honic function

A:

Q: Fourier series fixis = x sinx ,xe (…,7)

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: chain rule followed by product rule

A: Given: The function is h(t) = sin ( t5 ln (t) ).

Q: mobius function

A: Answar : - Let F and f be teo number the orceticfunctions related by the formula F(n) = ∑d/n…

Q: Fourier Transform of

A: Fourier Transform:- It is a mathematical transform which decomposes functions depending on space or…

Q: Fourier Transform

A: Fourier Transform is f(t)=F[ω]=[∫−∞∞f(t)e−jωtdt]

Q: Transformation Rule: (x ,y )-_

A: Reflection along line x=-2 will have follwing change :   Y coordinate will be same as earlier. X…

Q: omponen potential

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Q: x cos y+ y - xe" = 0

A: Given xcosy+y3-xey=0

Q: 5. 2х + Зу\ %3 х2

A: Given :  2 x + 3 y 4 = x 2  Find :   implicit differentiation

Q: Give a short description of integration

A: Topic = Integration

Q: Divergence Theorem to prove the identity

A: It is given that E is a closed region in ℝ3 and the boundary of E is given by the surface S.…

Q: Laplace transform of  sin 2t+et sin t

A: Given that: Let f(t)=sin 2t + et.sin t

Q: dentify the power function.

A: Given that : The function is f(x) = - 3x2 - 9x .

Q: derivatives power series

A: