Find the third degree Taylor polynomial centered at c = 1 for the function. f(x) = √√x Select one: O a. O b. O c. O d. O e. 7 1 + 1 = √(x + 1) + 3/27 (x − 1)² - 128 1 + (x − 1) + 32 (x − 1)² - 1 + 1 = (x + 1) - 3/2 -(x-1)²+ 1+ (x-1)-3(x-1)² + 32 7 128 7 128 7 128 -(x − 1)³ (x+1)³ 7 1+ (x-1) - 32(x - 1)²³-128 (x+1)³ (x-1)³ -(x-1)³

Q: B each have x = 0. Taylor polynomials of degree 2 approximating these functions near x = 0 are as…

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Q: For n = 4 , Legendre polynomial is 94 (x) = (35x – 30a? + 3)/8 %3D Find all its four roots.

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Q: Assume that sin(x) equals its Maclaurin series for all x. Use the Maclaurin series for sin (2x²) to…

A: As per policy, we are allowed to solve only one question at a time. So I am answering first…

Q: ving polynomials for x = 2 and x = -2, ree of each polynomial. %3D %D -10 + 3

A: The degree of a polynomial is the highest power of the variable in a polynomial expression.

Q: 3. Let p(x) = 6xª – 13x³ + 13x² – 2. - (a) Find q(x) such that p(x) = (2x – 1)q(x) using synthetic…

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Q: Write the polynomial p(x) = x³ - 3x²+x-9 as a Taylor polynomial centered at 20 = 1.

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Q: Find the Maclaurin polynomial of degree 3 for the function. f(x) = e-x

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Q: A monic cubic polynomial has zeros 2 and (-1)/2±√11/2 i. Find the polynomial.

A: Given zeros are 2, -12±112i let a=-2, b=-12+112i, c=-12-112i let x be the variable of the…

Q: Also, our definition of the first 4 Legendre polynomials is: 1 Po(x) V2 P1 (x) = V5/2 (1 – 312)…

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Q: -25 – 5x4 + 5x³ – 11æ² – 21x – 40

A: Given: f(x)=-x5-5x4+5x3-11x2-21x-40 To find: f'(x) and f''(x).

Q: Find all the possible rational zeros of the following polynomial: f(x) = 2x4 - 5x³+2x+2 EC O +1, +2…

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Q: Find the second-degree Taylor polynomial T₂(x) for the function f(x) = √√8 + x² at the number x = 1.

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Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph…

A: We need to compare the two graphs.

Q: Use synthetic division to divide f(x) by x- c, and then write f(x) in the form f(x) = (x – c)q(x)…

A: f(x)=x5+x3-2, x+3 Write the coefficients of the dividend inside the box and zero of x + 3 which is…

Q: Find all the possible rational zeros of the following polynomial: f(x) = x³ – 5x² − 3x+14 O ±1, ±2,…

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Q: Find the Maclaurin polynomial of degree two for the function /(x) = sec (9x). Select one: O a. O b.…

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Q: L Find for the quotient of the following polynomials using long division. 1. (x - 6x + 8) + (x-2)

A: Perform a long division method

Q: For the polynomial below, -1 is a zero of multiplicity two. 4 f(x)=x"+4x+10x+12x+5 Express f (x) as…

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Q: Determine Q(x) when P(x)=x³-5x2-3x+2 is divided by x-1 and then expressed in the form Select one: O…

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Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…