Find the Fourier series of the function if -4

Q: Find the coefficient on x^10 in each of the generating functions below. (h) (1-x^14)/(1-x)

A: Find coefficient of x^10

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: if f(x)=16x+3 find f prime of zero

A: The objective of the question is to find the derivative of the function f(x) = 16x + 3 at the point…

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: if f(1)=2 and f(n)=f(n-1)^2-3 then find the value of f(3)

A: Given  f1=2fn=fn-12-3 To find f(3) substitute n=3 in f(n) fn=fn-12-3f3=f3-12-3      =f22-3

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: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,…

Q: Use Taylor's polynomial of degree 2 of the function f(x) = tan 1(x+1) + x² %3D about c = - 1 to…

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Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

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Q: Determine y'of (3x + 1)*(2x – 1)³

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Q: x^2=Axy+By

A: Simple value put

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

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Q: Find the function f if it is known that f prime of x= 3x^2 +6x-7 and f(-1)=10.

A: Given: f'x = 3x2 + 6x - 7 and f-1 = 10 To find: fx

Q: Using Fixed Point Iteration Method manually, Given: f(x) = x^3 + 3x^2 - 1 and its new function as…

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Q: If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number,…

A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: Find the LCD of [(3/x + 1)and (5/x - 1)]

A: Given:               3(x+1) and 5(x-1)   To determine:            LCD of the given expression=?…

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

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Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(1a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: Find a root of the function f(x) = csc(3x-4) + In(x-2) - 3 from x = 5.7 to 6 using any bracketing…

A: This question can be solved by the help of bisection method.

Q: 2. Determine the complex Fourier coefficients co and c, of the function simulating the periodic…

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Q: Q5) Find (x) a) log,(27) + log,(x) = 3.5 b) 2log,(x) – log,(x + 6) = 1 c) log,(x) + log.(x+ 5) = 2…

A: Given: logx(27) + log9(x) =3.5 2log3(x) - log3(x+6)=1 log6(x) +log6(x+5)=2

Q: Solve for the Wronskian of the given functions: f₁(x) = x^2, f2(x) = 3x, f3(x) = 2x+1. 3 O x^2 6 -X

A: Given f1( x ) = x2f2( x ) =3xf3( x ) =2x + 1

Q: Express f(v) 4 + 6 x² + Z x + 2 in terms of Legendre Polynomials.

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