Find the Fourier Cosine Transform of the function -png f(x) = (ae-4x + be-3* + ce-2*) if x>0 -4х + се %| if a = 3, b = 7, and c = 5. Then, evaluate the transform if w = 15.

Q: Determine x[4] for the given Difference Equation 2x[k + 2]- x[k + 1]+ x[k]= k^2 x[0] = 1 x[1] = 3

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Q: /find the Fourier integral representation of the given function. x0 -x le

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Q: Find all functions y satisfying y" + y" = y' + y. You may use the factor- ization x + x² – x - 1 =…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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Q: page 3 16) write hix)= 91+x functions. camposition ftwo

A: I have defined to function f and g written h=g°f

Q: how was the annihlator 1/(D^2-a^2) found ?

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Q: FInd the implicity differentiate x^2- 4xy + y^2= 4

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Q: Find the inverse transformative of {s/(s^4+ 4s ^2)} without using parcial fractions

A: The objective of this question is to find the inverse Laplace transform of the function s/(s^4 +…

Q: #31 You have an 8 x 5 foot piece of cardboard. You are going to make it into a box by first slicing…

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Q: if T is inveriable and A is invertible then why do we denotate the inverse of A by A ^-1 ? can…

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Q: Evaluate W(1 + x, x, x^2

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Q: Use synthetic division to find 1"(-1) and f"(-1) where f(x)= 3x'-8x + 5x-2x' + 5x +13

A: To find the f'''-1 and f4-1 Given that the  fx=3x7-8x6+5x4-2x3+5x+13 f'x=21x6-48x5+20x3-6x2+5…

Q: Find B so that B^2 = A where A = 1 -1 0 -1 2 -1 0 -1 1

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Q: Q.3. Find the fourier expansion for the function whose definition 一T х, (x) = 0, くxく- 2 <x< -

A: Given that function we have to find the Fourier series of that function.

Q: Find the root of the following equation: f(x) = x^2-x-2=x with boundaries [1,2] Show Answer in the…

A: To find the root of the equation using the bisection method in a particular boundary, first find the…

Q: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

Q: find all pairs (m, n) of positive integers such that ϕ(ϕ(n^m)) = n, where ϕ(n) is Euler's totient…

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Q: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

A: xf(x), x and f(x) has the corresponding possible values = 1a, 2a^5, 3a^9. where a is constant…

Q: how does -1 transform into e^((2k+1)TTi)?

A: (.)  Euler's formula is,             we have to show that .

Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the…

A: Applied product rule and found f'(x).

Q: j(1+j3/1-j3)^2

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Q: find

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Q: Construct a polynomial from the data (1,4),(3,14)(5,19),(7,21),(4,23),(11,21) and also find…

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Q: function of xx if

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Q: HoW it aくく! -(メ)す |<X<2

A: We have given function ,  f(x) = 1 , 0 &lt; x &lt; 10 ,1 &lt; x &lt; 2 We know that Fourier series…

Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: Given: s (s + 3) / (s^2 + 4)(s^2 + 6s + 10) . Express the inverse transform as an integral.

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Q: Thanks, I don't know why ak does not contain z^K

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Q: F(x)=√(x^4-5) invertible or not.

A: The given function is: F(x)=x4-5 The function is invertible if it is one-one and onto.

Q: Find all residues of the function z (2-2) not including the residue at infinity. "

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Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: find |A^T| |A^2| |AA^T| |2A| |A^-1| A= [ 5. -10] [4, 6]

A: As we know that the properties of determinant: 1 A=AT2 A2=A23 AB=AB4 KA=KnA where n is the order of…

Q: Find f if ∇f = 4xy i + (2x^2 + 8y) j

A: Here I am attaching image so that you understand each and every step.