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

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X 0 1 4 6 -1 1 y -1

A: We have,

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

A:

Q: In the given question as follows , find the nth Maclaurin polynomial for the function:- f (x) =…

A: Maclaurin series is a special case of Taylor's series where the specific point on which the series…

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

A:

Q: ● Find the best fit equation for the second-degree polynomial of the form y = ao + a₁x + a₂x² given…

A: We need to fit the polynomial y=a0+a1x+a2x2 for the data x y 1 -9 3 3 4 16 5 29 7 70…

Q: Find the nth Maclaurin polynomial for the function. 2x - 5 f(x) n = 4 %D x + 1

A:

Q: Given that f(0) = 1, f(1) = 3, f(3) = 55, find the unique polynomial of degree 2 or less, which fits…

A: Solution is given:

Q: 1. Identify which of the following are polynomial functions and, for those that are, specify the…

A:

Q: . Find the polynomial of degree three for the following data using excel. Also find P(-2). X 0 1 |4…

A: We will find out the required value.

Q: Q6) Fit a second order polynomial to the following data. Also estimate the value of y at x=1.25,…

A:

Q: Find the critical points, A and B, of the following polynomial (with A < B). f(x) = 4x° – 588x – 6 -…

A:

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: Q1/ Fit a second order polynomial to the data in the following table : 4 8. 9. 10 Y 4 9. 11 13 9. 11…

A: A regression equation is used to predict the value of response variable using the explanatory…

Q: Find the equation of the curve that passes through the following points using the negative Factorial…

A: In the above ques- We have to find y at x = 8 Y (8) = ? We can easily see from table that x = 8 will…

Q: Using the second degree Lagrange interpolating polynomial, P2(x), for the data 0 1 3 4 f(x;) 11 9 13…

A: Legranges interpolation formulae.

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

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: The following table presents the temperature in different minutes that were taken from'a cup of…

A:

Q: Q2/ Fit a second - order polynomial to the data in the following table: 6 1 4 9 7 Y 2 8 3 4 -1 8 4

A:

Q: Q9 Find the polynomial interpolating the points f(3) by using Lagrange method 2.5 4 F(x) 0.33 0.38…

A: Formula for Lagrange's interpolating polynomial is :…

Q: In the given equation as follows , find the nth Maclaurin polynomial for the function. f (x) =…

A: Given: f (x)=x2e-x for n=4

Q: Using the given data, we see the largest change in Y is between X = -8 and X = -7. Y X 19.1 0 19.1…

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: [Q1] The following table shows the distance measured for a given time seconds in a car race Time (t)…

A: 1. We must find polynomial of the form S(t) = a + bt + ct2   Where, S represents the distance, a, b,…

Q: Fit a cubic polynomial to the following data: X y 3 1.6 4 3.6 5 4.4 Determine the coefficients, r²…

A: Given data: let us start using cubic polynomial    X Y 3 1.6 4 3.6 5 4.4 7 3.4 8 2.2…

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: : 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: Find the nth Maclaurin polynomial for the function. f(x) = ex, n = 5 P5(x) =

A:

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: Find the nth Maclaurin 3x - 5 f(x) = x + 1 P4(x) = polynomial for the function. n = 4

A: Given function f(x) =3x-5x+1

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

A:

Q: Given the following table of values, use Lagrange Interpolation to find the 2nd degree polynomial of…

A:

Q: Q// Fit a second-order polynomial to the following data: Y 9 8 3 7 9 11 9 6 1 7 1 3 10 9. 1 a. y =…

A: Given x y 9 8 0 3 7 9 11 9 6 1 0 0 0 7 1 3 8 10 9 1

Q: Given these data X 1 2 7 f(x) 3 19 99 291 Estimate f(2.5) and f(4), (a) using an interpolating…

A: NOTE: According to guideline answer of first method can be given, for other please ask in a…

Q: If R₂(x) is the second degree Lagrange interpolating polynomial for the data Xi Yi where the…

A:

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 7 Y 2 8 3 4 -1 8 4

A:

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

A: Percentage  of lead in the alloy (p) 50 60 70 80 Melting Point (Q0 C) 205 225 248 274 to find…

Q: ind the critical points, A and B, of the following polynomial (with A < B). f(x) = 6x³ + 18x² – 630x…

A:

Q: Find the critical points, A and B, of the following polynomial (with A&lt;B). f(x)=2x^3−24x^2+5 A=B=

A:

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

A:

Q: For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1, x₁…

A: The second order Lagrange's interpolating polynomial for 3 points can be defined as:…

Q: Fit a second order polynomial to the following data i 1 2 0 0.4 0.8 0 0.25 1 5 6 1.6 2 4 6.25 3 4 X…

A: Let a second degree polynomial that needed to be fitted to the given data be a0+a1x+a2x2=y-----(1)…

Q: Q2/ Fit a second – order polynomial to the data in the following table: X 1 4 2 7 Y 2 8 3 4 -1 8

A: