Delta function in r Delta function in k 1 Exponential in 8(2) 1 2πδ(k) 2a a²+k² (a>0)

Q: lim Max Ax Ef xi Ax, , is equivalent to lim Efa+iAx)Ax with Ax = 5 _b-a 1. The Riemann sum, AX, n00…

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Q: Use complex logarithms to find all points z such that e+2-2i = 0. In 2/2+ i 37T + 2kn where k E Z. 2…

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Q: Consider the function f of period 4 defined on one period as 0, -2 < x≤-1 x+1, -1 < x≤0 1-x, 0<x< 1…

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Q: Infinite ransforms: 21. If Fourier transform of f(x) is F(o), prove that the Fourier transform of…

A: Fourier transform of the function

Q: Expand the function into its Fourier series the evaluate f(1) at n=1 f (x) = 1-x for the interval…

A: I am attaching image so that you understand each and every step.

Q: (a) Over what interval(s) taken between 0 and 2, noninclusive, is the graph of y= cos.x increasing?…

A: Increasing function: For a function y=fx, if the value of y is increasing, when the value of x is…

Q: sin α=3/5, 0<α<π2​; cosβ=(2√85)/85, −π2<β<0   ​(a)   sin(α+β)         ​(b)   cos(α+β)         ​(c)…

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Q: 5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

A: Solve the given

Q: x2-2x х3 - 3х2 A - In Ix-3x² | + C C In Ix - 3x2 |+C BIn Ix - 3x2 I + C D In I x 3x² | + C A B.

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Q: Advance Engineering Mathematics Determine the Fourier series for the periodic function: which is…

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Q: Question 7 Integrate the function. x + 6 dx *+3Xx +5) (A (x+3)3 X +5 +C x+5 X+3 (x+3 X+5 x+ 3)3 In X…

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Q: Find Fourier integral representation of the following function f(x) = 1 0 -∞ < x < 0 0 < x < 2 2<x<∞

A: The given problem is to find the Fourier integral representation for the given function. Given…

Q: Let f: RR be a continuous 27-periodic function whose Fourier series is +∞ 1 1/2 + + /20 cos(nx). n=1…

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Q: Which of the integrals below represents the length of the curve y = log₂ between the points (1, 0)…

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Q: Does Taylor's Theorem with Remainder guarantee that the fourth Taylor polynomial of f(x) = 5 cos (x)…

A: According to question,Given Function,fx = 5 cosx

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub find the fourier…

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Q: Using an appropriate substitution, (cos-1(x)) e the integral f dx equals: V1-x2

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Q: B. FOURIER SERIES OF PERIODIC FUNCTIONS 3. Interval – 1<x<1; function f(x) = 0, = 1, -1<x<0 0<x<½ =…

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Q: If f and g are polynomial functions in one variable, then 8/ tan (g(x))dydx = tan (g(x))dx %3D

A: We are given an expression: ∫-21∫038f(y) tan-1g(x) dy dx=∫308f(y)dy∫1-2tan-1g(x)dx We need to tell…

Q: (2) x+4 as much as possible we get When we expand In O In(x) + In(4) – In(x) – 2 In(y) O None of the…

A: By using property of algorithm 1) log(a/b) = log(a) -log(b) 2) log(a*b) = log(a) +log(b) 3) log(a^m)…

Q: Consider the taylor expansion of f(xo-Ax) in the neighborhood of Xo, the coefficient of Əx is

A: Consider the Taylor expansion of fx0-∆x in the neighborhood of x0, the coefficient of ∂f∂x. Here we…

Q: f(x) = -1 - x/2 if -2 < x < 0, f(x) = 1 - x/2 if 0 < x < 2, f(x) integral 0 otherwise, by a Fourier…

A: We are given the following function.       f(x)=-1-x2   if -2&lt;x&lt;01-x2      if 0&lt;x&lt;20,…

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is…

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Q: 2 Use properties of integrals to evaluate S [(e2") – (e*)] dæ, 1 2 2 if S (e2") dæ = $ – : dz = $ –…

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Q: f(t) = {;. 0 1 lo,

A: Given function is, ft=t,   0&lt;t&lt;10,  t&lt;0, t&gt;1  To find: Fourier Integral of ft Formula…