Fourier series

Q: Liebniz theorem

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Q: Mean Value Theorem | Suppose two cars start a race at the same time and end it at the same time.…

A: Mean Value Theorem: Let fx be a continuous over the interval a,b and differentiable over interval…

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: Stokes's theorem is a special case of the theorem of Green.

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Q: Proof Prove Property 1 of Theorem 1.2.

A: Given :                  The limit,                 limx→c f(x) = L Formula used :…

Q: Using differential method, find the cube root of 600 in 5 decimal places and fourth root of 5000 in…

A: Here we have to find cube root of 600 and fourth root of 5000.

Q: angent method

A: Answer:  Tangent method

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

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Q: sinA (1+cosA). prove that =2cosecA (1+cosA) sinA

A: Simplification

Q: sinA (1+cosA) prove that :=2cosecA (1+cosA) sinA

A: some important formulas required to solve this question1.) sin2A + cos2A = 12.) 1sinA= cosec A3.)…

Q: Complete solution:   half-range sine series

A: Given function f(t)=a1-tL   in 0<t<L

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: Singular Value Decomposition

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Q: integrable form of sin-cos-sine 2 2 | u²-1 du sinu du V 1-u2 du

A: We have to choose the correct option according to the given information

Q: sinA (1+cosA) prove that =2cosecA (1+cosA) sinA

A: sinA1+cosA+1+cosAsinA =sinA·sinA+1+cosA1+cosA1+cosAsinA =sin2A+1+cosA2sinA1+cosA…

Q: (X) dx

A: We have to find the integral of the product of the associated legendres.

Q: NTEGRAL CALCULUS: DEFINITE INTEGRALS Show complete solution.

A: the given definite integral is, ∫14x-1dx. first find the integral of x-1 by substituting x-1 as u.…

Q: Differentiation#29

A: Given,

Q: Newton's method to obtain the third approximation, x2, of the positive nird approximation of the…

A: Introduction: The formula of newton-Raphson method is given by, xn+1=xn-f(xn)f'(xn)

Q: sin x + 1 dx. cos-x Rewrite the integrand Evaluate

A: Given: The integral, ∫sin x+1cos2xdx.

Q: ntegral of arcsin((1/2)x)

A: Given: ∫sin-1x2dx

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: Fourier transform

A: This question is related to fourier transform, We will solve it using given information.

Q: directional deriva

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Q: Cramer's Rule.

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Q: DIGITSL FORMAT wing double integrals and draw th xdy

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Q: Linear approximation Find the linear approximation to ƒ(x) = cosh x at a = ln 3 and then use it to…

A: Our Aim is to find the linear approximation to f(x) = cosh x at a= ln 3and then by carrying forward…

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: Mean Value Theorem (

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Q: f(x) = x*exp(-ax²)

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

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: Fourier Series: f(x)= -x^2 + 5 , [-2,2]

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

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: QI. Find the Fourier integral of the given function and discuss it at the discontinuity points…

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Q: calculus

A: Please refer to the image below

Q: omponen potential

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Q: Approximate sin 49º by Taylor series

A: We know that,  49°  = 45° + 4°  = (π/4 + π/45) rad = (45+4)*π/180 =  49π/180 rad

Q: QI/ Locate the first nontrivial root of sin(x) =x where x is in radians. Use a bisection with the…

A: Given function is sinx=x2 with the initial from 0.5 to 1 The bisection method to locate the first…

Q: Give a short description of integration

A: Topic = Integration

Q: derivatives power series

A: