Fourier sine transform of f(x) = Ο 50(1 −sin(a)) α Ο 50(1 + cos(a)) α Ο 100(1 – cos(a)) α Ο 50(1 – cos(a)) α Ο 25(1 – cos(a)) 50, 01

Q: ſcos 3t sin 8t dt * 1/2 (-1/5 cos5t - 1/11 cos11t ) + C O 1/2 (1/5 cos5t - 1/11 cos11t) + C O None…

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Q: If the function of is odd function (i.e. f(-x) = - f cx)) then, the Fourier transform of f(x) is…

A: Introduction: The Fourier Transform may be used to deal with preliminary boundary cost problems at…

Q: (1+iV3)"+(1-i/3)" %3D 2n+1 Sin(- 3 2" Cos( ) 3. 2n+ Cos( 3. 2" Sin 3. (1-V3

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Q4) Find Fourier transform of the functions: 1)f(x)= nxl, x π 3)f(x)=xe-x1, x ER 2)f(x) = 4)f(x) =…

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Q: then prove that i) F, [ƒ (x) cos ax] = [f, (p + a) +f, (p a)] 1 ii) F.[f(x) sin ax] 2 [f. (p + a) –…

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Q: e> and deduce that Find Fourier sine transform of- ar e bx e | sin px dx = Tan2 - Tan a

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Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

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Q: Evaluate f 2х-5 dx x(х-1)3 O A) I DON'T KNOW B) 5 In|x/(x-1)|-5/(x-1)+3/(2(x-1)² )+C C) NONE OF…

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Q: - 34 as f(4)= ė" ult-1) Solve it in fourier transformation

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Q: (sin())= d.r

A: We apply chain rule here .

Q: 2) Find the Fourier transforms of: a) b) f(x) = cos(ax), where a > 0. f(x) = x² cos(ax) + x sin(ax),…

A: Since the given problem has multiple sub parts, as per our company guidelines we will solve only the…

Q: The best approximation of f(x) = cos(8 + x) by a Fourier polynomial of degree 1 is

A: The Fourier Polynomial of degree n is Fn(x)=a0 + ∑k=1nakcos(kx) +∑k=1nbksin(kx). Then, the Fourier…

Q: 1 Evaluate [ (x³ +cos(3x))dx 2

A: The given integral is ∫x3+12cos3xdx.

Q: Find f(x) = f a-1x1 0 the Fourier a-1x1, Hence prove transform Ixl <a , Ixla that 1 (sin t t 0 2 of…

A: Given f(x)=a-x,x&lt;a i.e., -a&lt;x&lt;a                   =0,         x&gt;a i.e., x&gt;a, x&lt;-a…

Q: Which of the following is true? cos(x) + cos(7x) A Scos(3x)cos(4x)dx = J 2 J sin(4x)cos(3x)dx = […

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Q: |(5e" + 5x4 =. + 9 cos x)dx 5et + x + 9 sin x + c 5ea + x + 9 cos x + c 5e + x³ – 9 sin x + c O et –…

A: Need to find integration

Q: 1. 3sin x = sin-' (3x – 4x³), xe 2 2.

A: Note- as per our guidelines we have to answer only first question if multiple questions are…

Q: Find L-1 {In (1 + s²) }

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Q: What is the first element of z?

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Q: 2 1.f(3x²+5) cos 2xdx 0

A: We need to perform integral. NOTE - As per Bartleby guidelines we can solve one question from…

Q: Find the divergence of U=r cos(0)a-sin(0)a+2r²sin (0) a r 2cos (0) 3 cos (0) - r 3 cos (0) - 2cos…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (9) If sin(A) = /2, sin(B) = - ½, "/½ < A < r, and n < B < 3*/2, find cos(A + B) (A) 0 (B) /2 (С) —…

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Q: 3e" + 3x + 10 cos x + 2)dx .2

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Q: (5е? + 9* — 8 sin x)dx - 8 sin æ) de O 5e* + x° – 8 cosx + c x° - 8 cos x + c О Бе + x —— 8 sin x +…

A: Solving the problem by doing the integration.

Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

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Q: (4e® + 4x° + 8 cos x)dx 3 O 4e" + x4 + 8 cos x + c et – x4 + cos x + c et + x4 – 8 sin x + c O 4e" +…

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Q: The Fourier integral of the function f(x) ={ x(x - 1) ,-n n) is given by f(x)~ " (A(a) cos(ax) +…

A: If integrand is odd function and range of integral -a to a, then value of integral will be zero.

Q: (ex, if 0 a 3 Represent the function f(x) = { as Fourier cosine integral.

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Q: sin(5x) dx 2+сos(5x) اخترأحد الخيارات х + tan(5x) + с.ао —In | 2 + сos(5ӕ) | +с.Ь 1 +c.c 2+сos(5ӕ)…

A: Since , in the given integration problem we have derivative of denominator in numerator so we will…

Q: 5s Evaluate J|2 sin s Jdtds 0 0 I[ 2 OA. 3 (1 – sin(125)) O B. 3 (1+ sin(125)) (1+ cos(125)) 3 OC. 2…

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Q: sin 5.x cos 5x ERCISE & Prove that: X (1) cos(A+B)+cos(A-B)=2 cos Acos B cosy+sin y cos.x+sinx *(3)…

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Q: Which of the following is a possible equation for the following trigonometric function?

A: To find which of the given equation is possible equation for the trigonometric function.

Q: The function (f) with a period of 2π is defined by: f(x) = cosh (x - 2π)  if x∈[π ; 3π] a)…

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Q: Question 19 Find y' if y = 3acos x - 3 cos-¹x1n3 COS y'= y'= y'= y'= 3 cosx1n3 /1-x² 3 cosx1n3 - 3…

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Q: If x(t) = 0.886 +3 cos (5wot) -sin(6wot) , then an , bn a0 5,-1, -6 O 0.886,-1,-6 O 5, -1,6 O…

A: To find the correct option