Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 12 sin (x), a = (Express numbers in exact form. Use symbolic notation and fractions where needed.) T2(x) = T3(x) =

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A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

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Q: For the polynomial below, 1 is a zero. h (x) =x' + 3x- 7x + 3 = X

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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

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Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

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Q: Find the zeros of the polynomials f (x)=x'-5x² – 2x + 24, If it is given that the product of its two…

A: *to find:- roots of the given equation.

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

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A: find the polynomial f(x) for which  x fx-1=x-3 fx ∀x for x=0 x fx-1=x-3 fx ∀x

Q: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: For the polynomial below, 1 is a zero. h(x) =x- 7x + 10x- 4 x=(x)4 Express h (x) as a product of…

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Q: 4. Find The coefficient of the x’term in the Maclaurin polynomial for sin(2x)

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Q: 2. Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x=…

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Q: Find the interpolating polynomial of the following point and function using Newton's interpolation…

A: Please check step 2 for the solution.

Q: Find the Taylor expansion of the function, f(x) = ³√ sinx³ 3 around the point x = 0 up to the term X…

A: As per the question we are given the following function : f(x) = 3√(sin x3) And we have to find its…

Q: Using Newton's Divided Difference, the interpolating polynomial of the points (xo.Yo) = (- 2,1),…

A: We use Newton's Divided Difference interpolation formula. x      x0      x1      x2      x3y      y0…

Q: By using L(x)%3D1and L(x)= 1-x in Lagure polynomials, calculate the value of

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Q: The general polynomial of degreen has the form = a,x" + a,-1x"- + .. + azx? + ajx + ao, where a, +…

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

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