3. Find the Fourier transform of (a) f (x) = (b) f (x) = x|

Q: Find the inverse of the following functions (a) f :R +R, f(x) = 2, (b) f:R- {}→R - {}, f(x) = - 3-2z…

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Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: Q2. Find the Fourier transform of the function S2x e- 0<x <1 otherwise f(x) = %3D

A: The given problem is to find the Fourier transform of given function, we have to use Fourier…

Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

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Q: = + (-x² + xy 7) =

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Q: Show that (a) x(t) * 8(t) = x(t)

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Q: Transform f(x) = 0 to g(x) = X. Z1 Z2 f(x) = 0 k2+x k1+x +

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Q: J1(z) rove that J(x) = -J(z) and J{(r) = Jo(z)- %3D

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Q: For the function f(x,y)= (x² + y²) tan(ln(xy)) + e(x-y) which of the following is the value of…

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Q: 5 A clerk sold three pieces of one type of ribbon to different customers. One piece was 3 yards…

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Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: Given the equation of the hyperbola : 3x2-2y2+6x-8y=6.

Q: Show that the function f(x) =r³ – x² + 1, x > has an inverse. 3 If g is the inverse of f, find…

A: Part a:   In part a function f(x) is given and show that the function has an inverse for x&gt;2/3.…

Q: If g'(0) = 7 and f(x) = 2g(x) - 4ex - x² + 3x, what is f'(0) [A] 13 [B] 11 [C] 14 [E] 17-4e [D] 17-e

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Q: Find f′′(0) if f(x) = sinh−1(π2 + x2).

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Q: 29 x) = [42] (4), x(t) x(o)= [?]

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Q: the angle of rotation for the matrix transformation 2 2

A: Given the matrix of transformation is  f(xy)=32-121232xy To find the angle of rotation.

Q: Show that the function f(x) = (x – 1)e"² has an inverse, and find (f-1)' (0). %3D

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Q: Find the function f(x) such that  f ′(x) = f(x)(1 − f(x)) and f(0) = 1/5.

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Q: Let F(s)= [f(x-s)d. Find F(s) for the function f(x)= x", where n is a constant.

A: The power rule for integration is ∫x5dx=x66+C. Here, C is the constant and x is the integration…

Q: Let f(z) = z² +1, 9(z) = ! + 2, A(2) = Vz–2, and k(z) = V – I (a) Evaluate and simplify f(z+h) (b)…

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Q: Prove that v5 is irrational.

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Q: If the Fourier transform of f(x) is f(k): f(x) x (a) Find the Fourier transform of in terms of f(k).…

A: Given that the Fourier transform of  is .We need to find the Fourier transform of  in terms of .We…

Q: Let X - x? (s). Find (a) E (1+2X + X²) where E (g (x)) = 6° g (x) fx (x) dx. (b) the characteristic…

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Q: Use the definition of Fourier Transform, i.e. the equation f(t) = LF(@) elatdw to find the Fourier…

A: Using the given definition f(t) =12π∫-∞∞F(ω) e j ω tdω we have , F(ω) =12π∫-∞∞ f(t) e -j ω tdt…

Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

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