Find the Fourier coefficient a, to the function f(x)=x2,0

Q: 6 Rectangle QRST has coordinates Q (-1, 1), R (3, 1), S (3,-2), (Inv. 5) T(-1,-2). a. Sketch the…

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Q: Use transformations to graph the function. 34) y = sin (x – T) Ismatals adi enon ( TC 2n 3T -2+ -4-

A: Solution: Given data, y = sin(x-π)

Q: N= 20 , a= 6 a. Find the Fourier Transform of the constant function f for f(x) = N, 0<x < N (Note: N…

A: Given N=20 and a=6 Since Fourier transform of f(x), -∞&lt;x&lt;∞, denoted by F(ω) where ω∈N, is…

Q: Which of the following is NOT an even function? O y = (x - 5)* O y = |a| Oy = 4 - a O y = 3x?

A: For an even function f(-x) = f(x). Check the each options.

Q: Using the tables write down the transforms of the following functions/ (i) t² – 3t + 4 (ii) 2 cost…

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Q: What're the residues of the function z/(z + 1)? а. 0.25i and 0.75i b. -0.25 and -0.75 С. others d.…

A: The given problem is to find the residues of the given complex function.

Q: QUESTION 1 (n) be solutions of the homogeneous nth-order differential equation a (x) y n Let y ₁₂ k…

A: Given: If y1,y2,...,yk are solutions of an(x)yn+an-1xyn-1+...+a1xy'+a0(x)y=0 then…

Q: 1.0 0.5 g -2 -1 1 2 h -0.5

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Q: Let the following fourier representation of a function be given: f(x) = 2 · E Σ 1-cos (km) sin(kx)…

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Q: Evaluate (a) r(-7/2). (b) r(-1/3). Ans. (a) (16 J)/ 105. (b) - 3r(2/3)

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Q: Ət A. Use the chain rule to find and as functions of x, y, s and t. Ət = მა Suppose z = = B. Find…

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Q: -5 -4 -3 -2 -1 1 2 3 4 5 At the point shown on the function above, which of the following is true?…

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Q: Sketch a graph of a function f with the following properties. f' 0, for -70 and f''>0, for -50 and…

A: f'&lt;0 and f''&lt;0 for x&lt;-7 f'&lt;0 and f''&gt;0 for -7&lt;x&lt;-5 f'&gt;0 and f''&gt;0 for…

Q: line segments and a semicircle,

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Q: Let F(x, y) = (x¹7e², 7) and C be the path along the right half of the circle (r - 3)² + (y – 5)² =…

A: 28.2) To evaluate the line integral ∫CF.dr for the function F(x,y)=(x17ex2,7) where C is the right…

Q: Given 30<t ₹2 10 elsewhere find Fw), the Fourier transform of ƒ(t). Compute the values of F(0), F(1)…

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Q: 4. Determine the Fourier transform of the given function: 1 (t) = {2t - t, 2t - 1, 0 < t < 1 0<t<2…

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Q: (d) Using the method of characteristics, or otherwise, find the general solution to yu, – x*u, = 0,…

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Q: Let P(s) be the function - 1. Find the following: | s+1 P(7) = %3D P(- 9) = %3D P() - %3D 8. In each…

A: Since, you have posted question with multiparts. As per guidelines we"ll solve only first three…

Q: QUESTION 8 If then the value of y' is 3cosx - 10 3sinx - 10 3cosx + 10

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Q: es. there 7. Let f(x) = x4. a) Determine f-¹(x) b) Determine f(f-¹(x)) c) Determine f-¹(ƒ(ƒ˜¹(x)))…

A: According to bartleby guidelines I can answer only first three subparts of a question.  If you want…

Q: f is a function with the following Fourier coefficients on the interval [-, π] ao= - a₁ = b₁ === a₂=…

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Q: 4. у %3D х6 - 3x + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x…

A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

Q: + q on At the point shown on the function above, which of the following is true? Of'>0, f" 0 Of' 0,…

A: Given query is to find the correct option for the function.

Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: QUESTION 11 Find y" of y = X-1 y" = (x- 1)3 y" = -2 (x- 1)3 2 y": (x- 1)2 1 y" = (x-1)3 | %3D

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Q: Question 2 Let f(x, y) = 8√x - y²e-4xy + ] Find fx and fy. Evaluate fxxy(4, -1). a) [ b)

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Q: Question A. Find the domain for the given functions.. 1 f(x, y) = x + y 1 2 Зху f(x, y) =

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Q: Let r(x) = f(g(x)) and s(x) = g( f(x)), where f and g are shown in the figure. Find (a) r′(1) and…

A: Given: r(x)=f(g(x)) and s(x)=g(f(x)) And the graph, To find: a) r'1 b) s'4

Q: f is a function with the following Fourier coefficients on the interval [-] Jag=0 a₁ = 0b₁ = | 0b₂ =…

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Q: Write the following function as a subset of the Cartesian product of the domain and codomain. 2. 3.…

A: Given,