Let f be the function defined by f (z)=√√√z. What is the approximation for the value of √3 obtained by using the second-degree Taylor polynomial for f about z = 4? A B (C) D 111 64 143 64 167 64

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

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Q: 3. For the function g(x) = x³ – 2x? – 11x + 12, use long division to determine whether each of the…

A: we devide the polynomial by given factor and if we get remainder zero then this given factor is…

Q: 1. Determine which of the following numbers is a “0” for the function f(x)= x^5+x^3+x^2+1 1+2i i -1…

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Q: Evaluate the following. Use long division first if the rational function is improper.

A: Evaluate the following. Use long division first if the rational function is improper.     ∫dxx-42x-1

Q: 5. Find a polynomial of degree 4 with the zeros 3i and-v6j

A: Explanation of the solution is given below...

Q: The first three Legendre polynomials are 1, x, and x2 - ½. Choose c so that the fourth polynomial x3…

A: The first three Legendre polynomials are 1,x,x2-12. The fourth polynomial is x3-cx which is…

Q: polynömial that passes through the three points (0, 1), (1, 2) and (2, 23). If the coefficient of x…

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Q: fales, no4, s

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Q: S x³ +1 x² + 1 - da

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Q: Given a function f (x). Suppose that, the Newton's interpolating polynomial P2(x) of f (x) at the…

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Q: 1. Let R(m) be the number of zeros of ² - 1 in Zm. Then R(p) = 2 for every prime p > 2. Compute R(m)…

A: To compute R(m) for m < 10, let's find the number of zeros of x^2 - 1 in Z_m for each m:1. For m…

Q: Let f, g = R[x] be polynomials, with deg g > 0. (a) The division rule for polynomials states that ƒ…

A: The objective is to solve the above question.

Q: Find Ao, A1, and Az in rewriting the function of f(x=2vx 0マx in terms of Lagure polynomial ョーの

A: Given: Let us consider the given function  fx=2x       x≥00             x<0 and the Lagure…

Q: 3D03519..s 文 Period: tracting Polynomials (4h² – 5) + (3m² – 2)

A: Given: The polynomial, 4m2-5+3m2-2.

Q: Use newton divided difference to solve the equivalent interpolation polynomial of the given below,…

A: Using Newton's Divided Difference formula to find solution x f(x) 10 227.04 15 362.78 20…

Q: Q4. Use Newton forward-difference formula and construct appropriate interpolating polynomial and…

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Q: Use Newton's Forward formula to find the interpolating polynomial of degree which interpolates the…

A: We will find out the required value.

Q: Data for a and y below are taken from one polynomial function with degree of n: 1. -2 0 1 3 S(x)…

A: The given problem is to find the interpolation polynomial for the given data using the Newton's…

Q: 1 (Ь) Now consider f(x) Find the error if we were to use the third degree Taylor V4 + x 1 Make your…

A: Given that, the function is fx=14+x, entered at 0. Find the value of f0 as follows, f0=14+0=14=12…

Q: [A] The following values are obtained from a certain fifth order polynomial. 9 37 243 1017 3109 7749…

A: The given values obtained from a fifth order polynomial is:

Q: 1. Sketch each polynomial function: a) y =(x-2)³-3 b) y=-2x²(x+3) c) y=(x+1)(x−2)² d) y=x²-13x² +36

A: Since the student has mentioned to solve more than questions (question no. 1, 2, 10, 21, and 22).…

Q: Use Hermite polynomial that agrees with the data listed below to find the approximation of f(1.5) k…

A: Hermite Polynomial: The formula for the Hermite Polynomial is: H2n+1x=fz0+∑k=12n+1fz0, . . .…

Q: The velocity (in m/s) of a moving particle is a function of time (in seconds). The table below…

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Q: Give an example of a polynomial of degree 4.

A: In Mathematics, a polynomial is an expression consisting of variables and coefficients that involves…

Q: Q.4: Use Lagrange interpolating polynomial of third order to find the general polynomial equation…

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Q: p(x) = (x – 1)°(x + 2)(x +3)² I. (-2, 1) is the only interval on which the function is negative. II.…

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Q: SW2: The potential across the hygrometer transducer is given as a function of resistance, R.…

A: Let us denote the resistance R by "x"  and the voltage reading by "y"  The given table is :

Q: [H] The following values are obtained from a certain fifth order polynomial. 9 37 243 1017 3109 7749…

A: The forward difference table is used to calculate the difference between the values in the table.…

Q: Let P(z) = z" +am-12"-1 + ... + a1z + ao be a polynomial of degree n 2 1 with a; # 0 for at %3D…

A: We will solve Q9 as mentioned. Given Pz=zn+an-1zn-1+…+a1z+a0 be a polynomial of degree n≥1 with ai≠0…

Q: . to · if √o =0, √T = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, ther…

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Q: Approximate f(1895) using an interpolating polynomial of degree 4 using Newton's forward-difference…

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