0,5 -0,65 1,5 6,65 X= 1 Y= 1,2 17,5 a.) What is the maximum degree of interpolation polynomial passing through the given points? c. Find the y-value for x = 0.8 by the stirling interpolation polynomial.

0,5 -0,65 1,5 6,65 X= 1 Y= 1,2 17,5 a.) What is the maximum degree of interpolation polynomial passing through the given points? c. Find the y-value for x = 0.8 by the stirling interpolation polynomial.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Using the data in the table, with the help of Lagrange Interpolation Polynomials, 3.Obtain a polynomial of degrees P (0.75) =? , P (1.25) =? , P (1.5) =? valuesFind.
Q1-Using the nodes (x=2, x=2.5 and x; =4), to find the second interpolation polynomial for f(x) =- O O D
Give the degree and leading coefficient of the following polynomial function. Aa²) .2 f (x) = x³ (3 – 7æ² – 4æ²' - Degree: Number Leading Coefficient: Number
TH-124 X m wVU Math 124 - Quiz #6 Desmos | Graphing Calculator //kh-wvu.mobius.cloud/13/42/assignments/497/0 MReading Mode: Soc... Select all the following that ARE polynomial functions O y = 5 a2 +4 -8 +5 a8 O,- 5 V7 - 6 28 O y = 3 a3 +4 a8 – 3 x3 +3/8 O y = T+ V5 a + 8 - 1 „2 O y = 3 a3/8 + 5 a – a+4 O y = 3 x +8 O y = 3 O y = V7 3 -5 a3 +2 z O y = 5 28 5 23 O y = 2 23.4 - 4 x8 +x Submit Assignmen
Q3 Fit a second-order polynomial to the data in the following table. 0.25 0.5 1.2840 1.6487 Xi Yi 0 1 0.75 2.1170 1 2.7183
3. Determine the Newton's Divided-Difference Interpolating Polynomial P,(x) written in Newton's Divided-Difference form for the polynomial interpolating the data points (-3, 9), (0, -5), and (3, 2). You must show your work.
Consider the experimental data below from a chemical reaction. xi | 1.435 | 2.235 | 3.035 f(xi) |4.35 |2.97 | 2.2 (a) Construct a divided difference table of the data and approximate f(2.5) using the Newton’s second degree (10) interpolating polynomial. Explain the comparison of this and the answer in (a) above.
For the following data x: 1, 2, 3, 4, 5 y: 3, 11, 15, 14, 27 Find the 3rd order polynomial that best fits the data set. Oy=0.54x4 +5.4x³-18x² +26x - 10 Oy=1.5x³-13.14x² + 38.36-24 Oy 0.00033x³-13.14x² + 38.36-24 Oy 1.08x3+1.89x²-18x + 10.4
VoWiFi 2 ll N 36 I 6:11 SUMMATIVE ASSESSMENT Multiple Choice. Choose the letter of the best answer. 1. What should be the value of n in f(x) = x" if f(x) is a polynomial function? A. an integer B. a non-negative integer C. any number except 0 D. any rational number 2. Which of the following is not a polynomial function? A. f(x) = V7x В. f(x) —D —х3 — х +1 C. f(x) = 4x³ +x D. f(x) — 4x - 2х-5 3. What is the leading coefficient of g(x) = 8x – 5x7 + x4? А. -5 %3D В. -3 С. 4 D. 8 4. How should the polynomial function f(x) = -x + 2x³ + 3x5 – 6 be written in standard form? А. f(x) 3D 2x3 —х + 3x5 — 6 B. f(x) = -x + 2x3 + 3x5 – 6 С. f (x) 3 Зх5 + 2x3 — х — 6 D. f(x) — Зx5 + 2х3 + х — 6 5. What are the x-intercepts in the given graph (Figure 1)? А. X%3D-1, 1 В. х%3D-1, -1 C. x = 1 Figure 1 D. x = -1 :1 2 6. In Figure 1, which of the following is the y- intercept? А. -2 В. О С. 1 D. 2 -2 7. Which of the following could be the graph of g(x) = x³ + 2x² + 1? A. C. D. 25 City of Good Character…
max.: ssegna cedente The polynomial x4 + 3x³8x24 is divisible with O (A) (x - 2) O (B) (x - 1) O (C) (x-2)(x - 1) O (D)(x - 2)² O (E) (x + 1)² Successivo CELE ASSESMEN ndf Ma 09.
f(x) 1 1,5709 4 1,5727 1,5751 a. Complete the divided difference table for the data and costract the interpolating polynomial that uses all data. b. Using forward-divided differences , Find f(3,5)=? 3.