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

Q: Given the following table of data, X 6.6 6.8 7.0 7.2 7.4 f(x) 8.820 18.501 28.423 38.102 47.021 find…

A:

Q: 2. Determine the polynomial of degree 4 whose graph is shown in the figure. SLO 2 5 4 3

A: Given query is to find the polynomial for the graph.

Q: 2.1 Find the appropriate Lagrange interpolating polynomial using the following data table 2 0 0.5 1…

A:

Q: Using the given data, we see the largest change in Y is between X = -8 and X = -7. Determine the…

A: Given: A number of data points X,Y.   To determine: The value of Y at X=-7.5 using the direct method…

Q: 6. The following data are given for a polynomial P(x) of unknown degree. 0 12 3 P(x) 4 9 15 18…

A: Given all the fourth order difference are equal to 1 We have to find the coefficient of x3 Now make…

Q: 4. The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A:

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data(-1,2); (4,2) and (7,5). Then…

A:

Q: Given n+1 data pairs, a unique polynomial of degree passes through n +1 data points. Select one: a.…

A: This question is related to Numerical Analysis

Q: 2.1 Find the appropriate Lagrange interpolating polynomial using the following data table 0 0.5 1…

A:

Q: Fit a second-order polynomial to the data in the kollowing daha- 0|12/31415 yi 2.17.713.6|272 40.9…

A: The objective is to find a second order polynomial and to find the standard error.

Q: Let P(x) be the second degree Lagrange interpolating polynomial that fits the data (0,0), (1,2) and…

A:

Q: A third degree polynomial passes through the points (0,9), (1.14), (2,17), (3,24), (4,41), (5,74)…

A: The value of X1=∆y3=y4-y3=24-17⇒X1=7and value of ∆2y2=X2=∆y3-∆y2=7-3=4⇒X2=4

Q: 32. The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A: Newton's farword diffrence formula

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X0 1 4 6 -1 1 -1 1

A:

Q: Approximate  f′(2)f′(2) using the given data f(0)=−8,f(0)=−8, f(1)=−7,f(1)=−7, f(2)=0,f(2)=0,  and…

A:

Q: 1. Consider the following data points (0,3), (1,0), (2, 1), (3,0) (a) Derive the monomial…

A: Given data point is (0, 3), (1, 0), (2, 1), (3, 0) Solution a: For 4 data point, monomial basis,…

Q: 1. From the following data, perform the required fitting. i 1 2 4 6. 3 9 X 12 14 Y 15 21 27 36 42 a.…

A: a. Tabulate the given value as follows, x y 3 9 5 15 7 21 9 27 12 36 14 42

Q: 7. The following data is given: 3.4 3 2.2 4.8 2 2.8 3.2 4 5 (a) Write the polynomial in Lagrange…

A: Lagrange Interpolation formula f(x)=(x - x1) . . . (x - xn)(x0 - x1) . . . (x0 - xn)f0+(x - x0) . .…

Q: Q4) Fit a second order polynomial to the following data i 1 2 3 4 5 6. X 0.4 0.8 1.2 1.6 y 00.25 1…

A: In the given question we have to define a second order polynomial to a givendata  i 1 2 3 4 5 6…

Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: Given: x 0 1 2.5 3 4.5 5 6 y 2 5.4375 7.3516 7.5625 8.4453 9.1875 12 To find: Construct the…

Q: The following data of the velocity of a body is given as a function of time Time (s) 0. 15 18 22 24…

A:

Q: 6 +Y - -5 -3 -6-5 -4 -3 -2 -1.0/1\2 FF 394 5 6 +2 +3 4. 2.

A:

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (-2,3) (2,4) mnd (4, 3). Then…

A:

Q: b) The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A:

Q: Example 6.10. Assuming that the following values of y belong to a polynomial of degree 4, compute…

A: Given values of y are x 0 1 2 3 4 5 6 7 y 1 -1 1 -1 1                Let the value for x=5,…

Q: Given the following points (–1,1), (0, –3), (1, –1), and (2,19). Let x, = -1, x1 = 0, x2 = 1, and x3…

A: Given x f(x) -1 1 0 -3 1 -1 2 19

Q: Determine the 3rd degree polynomial for the given set of data(x.y). 1. 1.3 2.4 3.7 3.8 5.1 y -6.3…

A:

Q: Then by using "Newton's interpolating polynomial method", the scientist got the following polynomial…

A:

Q: Determine the 4th degree polynomial for the given set of data(x.y). 1. 1.3 2.4 3.7 3.8 5.1 y -6.3…

A:

Q: Let P(x) be the Lagrange interpolating polynomial that fits the data (-2,3); (2,4) and (4,3). Then…

A:

Q: Table 1 0.2 0.4 0.6 0.8 1.0 1.2 v(1) 25 38 55 73 88 102 The second order Lagrange interpolating…

A: For the given data xx0x1x2fxfx0fx1fx2 Lagrange second order polynomial is…

Q: b) The following data gives the melting points of an alloy of lead and zinc. Percentage of lead in…

A:

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: Q4) Fit a second order polynomial to the following data i 1 2 3 4 5 0.4 0.8 1.2 1.6 2 Ly 0 0.25 1…

A:

Q: (5) Use your graphing calculator to check your answers to (2) and (4) are correct. 7. (1.2 Ex45) (1)…

A: Hello. Since your question has multiple parts, we will solve the first parts for you. If you want…

Q: : The following data come from a table that was mea- sured with high precision. Use the best…

A:

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: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: A table with values x and y is given below, x 0 1 2.5 3 4.5 5 6 y 2 5.4375 7.3516 7.5625…

Q: Q4) Fit a second order polynomial to the following data 5 6 1.2 1.6 4 6.25 i 1 3 4 0 0.4 | 0.8 0…

A:

Q: The following x-y data is given 10 13 15 y 50 | 113 | 165 The Newton's divided difference second…

A:

Q: Q// Fit a second-order polynomial to the :following data Y 7 11 7 5 2 10 4 7 2 11 11 3 y = 8.440138…

A:

Q: Problem 1. Let be an arbitrary polynomial p(x) = anx" + an-1x"-+ . + a1x + ao. %3D (a) Find p(z)].…

A:

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X01 4 6 y 1 -1 1 -1

A: Newton's divided differences

Q: Fit a second order polynomial to the following data 1 2 4 0.5 1.0 1.5 2.0 2.5 0.25 1.0 2.25 4.0 6.25

A:

Q: 3. The following data come from a table that was measured with high precision. Use the best…

A: For this problem we use newton difference rule

Q: b) The following incomplete y versus x data is given. X 1 2 6 7 5 11 ??? ??? 32 15 The data is fit…

A: Concept: The data given presents the value of y when x values are given That is when x=1 y=5means…

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X01 4 6 -1 1 y 1 -1

A: This is a problem of Numerical Analysis.

Q: Q4) Fit a second order polynomial to the following data 1 2 3 4 5 X 0.4 0.8 1.2 1.6 Ly 0 0.25 1 2.25…

A: Equation of 2nd degree polynomial

Q: 2. (a) Suppose f (5) = 12.81750604, and f(6) = 9.914463077, use linear Lagrange interpolation to…

A: Suppose  fx1=y1,fx2=y2, fx3=y3, ···, fxn=yn. Then using n-1 degree Lagrange interpolation the…