press the improper rational transform: 3 X(z) + 1 + z 8 ms of a polynomial and a proper function N

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: f(x) = 1/(1-x) f'(x) =  1/(1-x)² f''(x) = 2/(1-x)³ a = 0 so  f(0) = 1/(1-0)=1 f'(0) =  1/(1-0)²=1…

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: 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: press the improper rational transform: 3 4 X(z) = 1+ + + 1 3 ms of a polynomial and a proper…

A:

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: -25 – 5x4 + 5x³ – 11æ² – 21x – 40

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

Q: S x³ +1 x² + 1 - da

A:

Q: Determine the pole of the functions and residue at each pole for f(z) =Z2-2z (2²+4) (z+1)²

A: Step 1: Given the function f(z)=((z2+4)(z+1)2)(z2−2z)​ =>f(z)=(z+1)2)(z2+4)(z2−2z)​…

Q: Inverse Laplace Transforms Find the Inverse Laplace Transforms of the followin Linearity F(s) f(t)…

A: Solution:   find the inverse  laplace  transform- 1  Given   Fs=4s-3 Apply  inverse  laplace…

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: 8) Determine the formula for the 4th degree polynomial f(x) shown below: -2 0 2 --6- 2

A: To determine the formula for the 4th degree polynomial  shown below.

Q: Find the Maclaurin polynomial P, to f(x) = ncosnx.

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Q: Define = -ĤI ( ¹ - -¦ ) = (¹ - ¹) · (¹ – ¦ ) · (¹ - -) --- (¹ ---), 1=2 where ne Z+ and n > 2. Here,…

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Q: (b) Construct the Lagrange polynomial. y=sir interpolation. the for function y=sinak taking points…

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Q: Determine the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12)…

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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: The following polynomial relates the specific heat to constant pressure of dry air Cp (in KJ/KgK),…

A: Given: Cp=1.2 KJ/KgK. Substitute the value of Cp in…

Q: 3. Let P(x) be a polynomial of degree n. If n is even, prove P(x) cannot have an inverse function.

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Q: For the polynomial Ax) = 13(x – 6)(66 – 37x²) (a) Report the exact values of the zeros. 66 66 -6 37'…

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Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: When calculating the first Lagrange polynomial using xo, X1 we obtain L,(x) = x – 3, then xo and x1…

A: Lagrange's polynomial can be used to obtain the interpolation for the data. The polynomial is…

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: Expand the following function in terms of Legendre polynomial: 35(cos(theta))^4

A: Given the function,                           35cos4θ.