QUESTION 5 To derive finite difference formulas and compute their errors we usually use Taylor's expansions. The error in the finite difference approximation f'(x) = 14f(x + h) – 3f(x) – f(x +2h)]is Оа. 1 Ob. 1 Oc. Od.

Q: 0.3 Use a Taylor polynomial with 4 nonzero terms to estimate e-lV# dx. Estimate = Now estimate the…

A: Consider the provided question,

Q: Suppose that the Fourier series expansion for function { 2 cos x, if - Ħ< x < 0 f (x) = if 0 < x < T…

A: Given fx=2cosxif -π&lt;x&lt;0sinxif  0&lt;x&lt;π

Q: 3. Let f(x) = x sin(x) on [-7,7]. (a) Write a Fourier expansion of f(x) on this interval. (b) Use…

A: The given function is fx=xsinx on -π,π.   The Fourier series for a function fx defined on the…

Q: 9₁¹ = = Σ m=3,5,7.... (2) sin() a 2 ( 2² h ²2 (1-m²)) 2ma² 2 4maa 0 =√√√(4) (3 + a ħ² (sin (3x) +…

A: Consider the provided expression, φ11=∑m=3,5,7...2αasinmπ2π2h22ma21-m2φm0 In the given expanded form…

Q: f(x) = cosh(x); -T <x< T etch the function. Determine whether it is even or odd. Expand it in an…

A: Expand the given function in an appropriate Fourier series.

Q: [2 3] x [58][y] a) X 元 201 9 = [] 18013-81 ||

A: We have to find .

Q: k = B(k) + 1/2, k2 = B2(k) + B1(k)+ /3, k3 = B3(k) + /2B2(k) + B1(k) + ½, k = B4(k) + 2B3(k) +2B2(k)…

A: (Since the only specified information in the given question are some equations that are marked by…

Q: Find the coefficient of the term containing x' in the expansion of (2x-y)°.

A: Binomial theorem

Q: 2 ln (1+√√y) = 2 ln (1+√√x) + In C n{(1 + √y)²} = ln {C(1 + √@)²}

A: Given that 2 log 1+y=2log1+x+log C Here we need to explain the next steps.

Q: The principal at x=o of f(x) = √₂² +2² - x - x² (with respect to up(x) = x) is: (c) x8/7-x² (d)=x²…

A: To find the principal part of the given function  as with respect to g(x)=x, we will use the…

Q: 1) Find the Taylor Series for sin(x)

A: Since you have posted multiple questions, according to our guidelines we have done first question…

Q: 1. Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. a) f(x) = e²x, a = 0 b)…

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Q: At least one of the answers above is NOT correct. Find the Maclaurin polynomials of orders n = 0,…

A:

Q: 56. 6. -2/√3 dx -2 |x|√x²-1 [²

A: Solution is given below:

Q: 271/3 2. CSC 58. 1/3

A:

Q: 3x Forf (x) = − ³ + 1, ƒ(− 10) = 5

A: