le can define an operator * : 2'(R?) n'(R?) by defining *dx = dy and *dy = -dx, and extending nearly. If f: RR is a 0-form, show that d* (df) = 2 ) ds Ady.

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A: Let us consider f is continuous even function. Let f=x2 So, fcosx=cosx2=cos2x…

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A:

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A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

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A:

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A: The given integral is ∫sin23xcos53xdx. We have to evaluate the given integral.

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A: Given information is :

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A:

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A:

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A:

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

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A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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A:

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A:

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A: Given

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A:

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A:

Q: -f integration for

A:

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A: Given the query is to find the correct option of integral.

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A: Solution :∫cos6xcos3xdxNote…

Q: (2x) Sinx 2. Prove that (1) Jy₂ (x)=√√(x) =_ (11) J-y₂(x) = √(3/1²) Cosx

A:

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: See the detailed solution below.

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A: This is a question of Fourier Analysis.

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Q: only the limits of the integration

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A: Option 2 will be correct choice.

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Q: This is exercise 26 of Section 7.5 page 460. Find the integral æ* sin(æ²) dx-

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A:

Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

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A:

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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