Data for a and y below are taken from one polynomial function withdegree of n:1.-2 01 3f(x) 21 -10Find the interpolation polynomial for the above data by using the4-4-21Newton divided difference and write it in form ofA,z" + An-1a"n-1+ A1r + Ao.

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

Data for a and y below are taken from one polynomial function with degree of n: 1. -2 0 1 3 S(x) 21-10-4-21 Find the interpolation polynomial for the above data by using the 4 Newton divided difference and write it in form of A,r" + An-1a"-+ . + Ajr + Ao.

Data for a and y below are taken from one polynomial function with degree of n: 1. -2 0 1 3 S(x) 21-10-4-21 Find the interpolation polynomial for the above data by using the 4 Newton divided difference and write it in form of A,r" + An-1a"-+ . + Ajr + Ao.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...

See similar textbooks

Related questions

Q: The Lagrange polynomial passes through three data points (15, 24), (18, 37), (22, 25). Find Lo(x) at…

Q: The Lagrange polynomial passes through three data points (3, 11), (9, 10), (26, 21). Find p2(x) at x…

Q: Q) Approximate f (0.3) using Divided difference method to construct polynomial of degree one, two,…

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

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

Q: Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, =1,x2…

A: Firstly make the divided difference table x P(x) Pxi , xj Pxi , xj , xk Pxi , xj , xk , xl Pxi ,…

Q: If the Newton's Divided Difference second order polynomial for the coresponding x, y data is…

Q: Q4 Table Q4 contains dataset of a robotic arm during a force measurement on a thigh phantom.…

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

Q: True or False: If T E L(C³) and (T – 21)(T – 31)(T – 41) = 0, then the charac- teristic polynomial…

Q: Using Newton's interpolating polynomial of order 2, namely, bo +b,(x-x)+b,(x-x)(*-x) where x, = 0,…

A: Given: Newton’s method for polynomial interpolation of order two is given as:…

Q: 69) A local coffee shop models the number of customers in its shop according to the time of day (t-0…

A: Given :The coffee shop uses polynomial regression N(t)=0.07t3-0.04t2+5.2t+30 and with coefficientof…

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

Q: If the Newton's Divided Difference second order polynomial for the coresponding x, y data is…

Q: 2. A) Create the user-defined function LinearRegression and CubicRegression find and plot (same…

Q: (c) Determine the natural cubic spline that interpolates the data f(0) = 2, f(3) = 3, f(8) = 1 and…

A: We have to find the value of f(1.2)

Q: [C] Obtain the interpolating polynomial of the form ax³ + bx² + cx + d (where a, b, c, d are…

Q: 3. The Lagrange polynomial that passes through the 3 data points is given by x| 15 | 18 | 22 y 24 37…

Q: 10. For the polynomial function f(x) = x + 3x³x²-3x we have f(-3) = 0, f(-2)=-6, f(-1) = 0 .f(0) =…

A: topic - polynomials

Q: Find a polynomial of degree two interpolating the three data points (0, 1), (a + 2, 5) and (B + 12,…

A: Note:- In this problem you don't mention about α, β. So, i'm assuming them as constant. If it is…

Q: xi=Q-debi-(m^3/sn) 2 yi=P•(kW)¤ 4x 6R 1.5 3 4.5 6 8 8 10

Q: 3 4 6. 0. f(x) 7 11 28 63 89 (a) Complete a Divided Difference Table for this data. (b) Construct a…

Q: If the Newton's Divided Difference second order polynomial for the coresponding x, y data is…

A: Suppose a second degree polynomial passes through three data points . x x0 x1 x2 y=f(x) fx0…

Q: Time, t (sec) 10 15 20 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the…

A: Step:-1 Lagrange Third order polynomial is vt=∑i=03Lit vivt=L0t v0 +L1t v1+L2t v2+L3t v3 ---(1)…

Q: -1 1 3 f(x) 1 -7 10 Find the following forms of interpolating polynomial for the points in the table…

Q: . a) Estimate the value of f (3.34) by approximating Lagrange interpolating polynomial for f(1) =…

A: Let us consider the value of x and y as given x x1 x2 .... ..... xn y y1 y2 ..... ..... yn…

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6. y 1 -1 1 -1

A: For the given data points,we have to find out the third degree polynomial satisfying the given data.

Q: Time, t (sec) 10 15 22.5 30 Velocity, v(m/s) 227.04 362.78 517.35 602.97 901.67 (a) Determine the…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The polynomial that passes through the following x-y data (18, y,), (22,25), (24,123) is given by…

Q: (a) Construct a second degree Lagrange interpolating polynomial for f(x) = ! at the nodes x1 = 2, at…

A: The Langrange's interpolation method can be used to calculate the polynomial approximation for the…

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6. 1 -1 1 -1 I

A: We have to find the satisfying third degree polynomial.

Q: a) Find a second degree polynomial approximating the function f(x)= Inx , and passing from the…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 2. The voltage drop V across a resistor for a number of different values of current i is shown in…

A: (1) Given i V Vi , Vj Vi , Vj , Vk 0.75 -0.6 0.7-(-0.6)1.25-0.75 = 2.6 1.25 0.7…

Q: [C] Obtain the interpolating polynomial of the form a³ + bx² + cx + d (where a, b, c, d are…

Q: th integral coefficients tha D4, 3+i

A: The integer coefficient property is stated as If the polynomial with real coefficients , has a root…

Q: (Linear interpolation) Calculate the linear Lagrange polynomial for In(x) on 9.0 s x s 9.5, and from…

A: We have to calculate the lagrange's polynomial for the function fx=lnx on 9.0≤x≤9.5. First we have…

Q: 4. a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 1 -1 1 -1 I

Q: For a function f, the Newton's interpolatory divided-difference formula gives the interpolating…

A: The general Newton's divided-difference interpolation polynomial can be defined as:…

Q: The polynomial that passes through the following x.y data x18 22 24 ? 25123 is given by…

A: Given that the polynomial passes through the x, y data x 18 22 24…

Q: 12n+1) x Pa (x) : (n +1) Prte tx) +n Pane (x) a) Get the Le gendre reconnection polynomials using…

Q: 1- The Newton's divided interpolating polynomial on x, = x,-1 + 0.25, Vi=1,2,3 , xo = 0 given by…

A: Given: P3x=fx=1+4xx-0.25+163xx-0.25x-0.5, xi=xi-1+0.25 ∀i=1,2,3, x0=0

Q: a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

A: Since you have asked multiple questions, we will solve first one for you. If you want other question…

Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros.…

Q: Q.3: Determine the Lagrange interpolating polynomial by using second order form for the given data…

Q: Q4 Table Q4 contains dataset of a robotic arm during a force measurement on a thigh phantom.…

Q: a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if…

Q: 1 2 5 7 8 f(x) 3 6 19 99 291 444 Calculate f(4) using Newton's interpolating polynomials of order 1…

Q: 4. Let f (x) be a polynomial of unknown degree taking the values 0 1 2 3 f (x) 2|7 | 13 |16 All the…

Question

Data for a and y below are taken from one polynomial function with
degree of n:
1.
-2 01 3
f(x) 21 -10
Find the interpolation polynomial for the above data by using the
4
-4
-21
Newton divided difference and write it in form of
A,z" + An-1a"
n-1
+ A1r + Ao.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Answer

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
Which of the following statements couldn't possibly be true about the polynomial function P? (a) P has degree 3, two local maxima, and two local minima. (b) P has degree 3 and no local maxima or minima. (c) P has degree 4, one local maximum, and no local minima.
Find the quartic (fourth-degree) polynomial function f with real coefficients that has 1,2and2i, as zeros, and f(1)=10.
Find a fourth-degree polynomial function f with real coefficients that has 2,2and7i,as zeros.
In Exercises 11 and 12, find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.) 0,2,3i