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Q: sin (t) -dt 3 (4+ cos (t))?

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Q: sin* (t) – cos*(t) – cos²(t) = 1 sin²(t)

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Q: d Find tan1 x + csc¯1 | dx

A: To find ddxtan-1x+csc-1x We know that ddxtan-1x=11+x2 ddxcsc-1x=-1xx2-1

Q: Evaluate (3x + cos 4x) dx

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Q: 1. (a) Construct the first Taylor approximant to f: (−1,1) → R, ƒ(x) = sin¯¹ x about a = 11. (b) Use…

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Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

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Q: Prove that Fourier cosine transform of f(x) = cos(x), 0<x<3 is: 1/27 (³ sin 3(p-1), sin 3(p+1) p-1 +…

A: Introduction: A Fourier remodel (FT) is a mathematical remodel that decomposes features relying on…

Q: by using mean value theorem prove |sin(x) – sin(y)I < ]x – y|

A: To prove sinx-siny≤x-y Let f(t)=sint ∀t∈(x,y) Then we have the mean value theorem f'(c)=f(x)-f(y)x-y…

Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

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Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…

Q: sin(3t)dt

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Q: Differentiate. f(0) = 0 cos(0) sin(0)

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Q: i) Find the Fourier sine transform of (sinx, 0 a f(x) %3D 0,

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Q: Evaluate

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Q: sin x sin (2x) simplifies to 2 cosx-f(x) where f(x) Submit Question

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Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A: Given: 0&lt;x-a&lt;δTo prove:sinx-sina=2cosx+a2sinx-a2≤2sinx-a2