Find the interpolating polynomial for the following data by Newton's Divided Difference Fonmula. - 2 012 1- 3 |-1 3

Q: Q2/ Fit a second - order polynomial to the data in the following table: X 5 1 4 Y 2 3 4 -1 4 76 O 00…

A: When a equation has one degree then it is known as linear equation. If the equation has two degree…

Q: Employ inverse interpolation using a cubic interpolating polynomial and bisection to determine the…

A: The data given is as follows: x fx 2 0.5 3 0.3333 4 0.25 5 0.2 6 0.1667 7 0.1429…

Q: Which of the following is not a factor of the polynomial f(x) = x³ + 2x + 3 ir %3D x +1 x + 2 Option…

A: Factors

Q: The polynomial p(x) = 2-(x+1)+x(x+1)- 2x(x+1)(x–1) interpolates the first four points in the table:…

A: Given, the polynomial p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-1)   interpolates the first four points in the…

Q: p(x)= x^3-2x^2-4x+5 Select all intervals for which the above polynomial is negative

A: Given The polynomial px = x3-2x2-4x+5  We have to find the intervals in which the polynomial is…

Q: given the function f(x) = 6x^2 + 2x - 1 from [1,9] find the upper sum  using four rectangles.

A: given the function f(x) = 6x^2 + 2x - 1 from [1,9] find the upper sum  using four rectangles.

Q: If t(x)=0.08exx2 and a=5, what is t′(a) to the nearest tenth?

A:

Q: Q- using a 3 point(second order) interpolating polynomial, the value at x=1.6 is (Use 4 digits ) |Xi…

A: We need to find the value of F(1.6) using second order polynomial so we need three points closest to…

Q: On what intervals is the polynomial p(x)= 2x –15x² +36x+50.concave down? Concave up?

A:

Q: s the following statement true or false? f(x)=e^x−9  is not a polynomial. a) True b) False

A: Given:                f(x)=ex-9   To determine:                               f(x) is a polynomial…

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 7 Y 2 8 3 4 -1 4 6 00

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: Consider the following polynomial. q(x) = 7x² – 8x Step 2 of 2: Describe the behavior of the graph…

A:

Q: Based on the data set below, find the interpolation value for x=2.5 from a fourth degree…

A: Given,   x 0 1 2 3 4 y 1 1 9 61 205

Q: Which of the following is a factor of the polynomial function P (x) = x – x4 – 50x3 – 49x2 + 36?…

A: We need to find factor of given polynomial.

Q: Use appropriate Lagrange interpolating polynomial to approximate f(8.2) , if f(8.3) = 17.56,f(8.1) =…

A: The value of the table for x and y: x 8.3 8.1 8.6 y 17.56 16.94 18.51 We will approximate…

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: 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: Determine for which polynomial(s) (x + 2) is a factor. P(x) = x* - 3x – 16x – 12 Q(x) = x³ – 3x2 –…

A:

Q: Show that the polynomial interpolating the following data has degree 3. 비 f(x) 1 4 11 16 13 X -2 0 1…

A: using the dummy equation ax3+bx2+cx+d =0 and finding the value of a,b,c,d.

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: The ________ Theorem states that if a polynomial f(x) is divided by x − k, then the remainder is r =…

A: The ________ Theorem states that if a polynomial f(x) is divided by x − k, then the remainder is r =…

Q: a) Find the values a, b and c of the upward velocity of rocket approximated by polynomial as v(t) =…

A: The word polynomial comes from two words poly meaning "many" and nomial meaning "terms". Therefore,…

Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 9 Y 8. 4 -1 8 4 6 6…

A:

Q: 2. Evaluate the polynomial: y = x° – 7x + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with…

A: Explanation Given polynomial is  y = x3-7x2+8x-0.35 we have to evaluate the given polynomial at…

Q: Find m so that x– 5 is a factor of f (x)= 4x² – 21x² +mx–15.

A: Consider the given polynomial fx=4x3-21x2+mx-15

Q: se the given factor or factors to completely factor the polynomial. f(x)=x'-x-x-2; x-2 f(x)=x'-x-11x…

A:

Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n = 5 P5(x) = %3D

A: Given:      fx=e-x, n=5 Maclaurin series is given by fx=∑k=0∞fkak!xk In our case fx≈Px=∑k=05fkak!xk…

Q: Find the least common multiple of the following pair of polynomials:x(x - 1) 2 ( x + 1)  and 4( x -…

A: The least common multiple (LCM) is the smallest quantity which is multiple of more than one…

Q: 1. For each of the following polynomials, determine its degree, leading term, and leading…

A: Determine the degree, leading term, and leading coefficient  a) 7x5 +5x4 -3x6 +2x-17  b)25x5 +x8-6x2…

Q: find of the f llowing 2. 2 -5x*

A: Solution of question is written in below steps.

Q: Given (xi , xi2022 i ) ∀i = 0, ..., n, where x0 = −1, x1 = 0, x2 = 1, x3 = 2, ..., xn = n − 1. Write…

A: Given xi,xi2022∀i=0,1,2,...,n  Where x0=-1, x1=0, x2=1, x3=2,..., xn=n-1

Q: Which polynomial function has 5 + 2 i and − 6 as zeros?

A: Given,           Polynomial function has 5+2i and −6 as zeros.

Q: Find f) af lia fallowbngi G-7) (x?- 3x' + 24). 5) a) 2. 4) for - 6) Im Cx -3) In 5x -5%

A: Hello! thank you for the question since the exact one is not defined, we'll able to solve only three…

Q: (b) Determine the value for x such that P(-x < X < x) = 0.90.

A: Solution-: Given: a=-1, b=1 We find x such that,  P(-x&lt;X&lt;x)=0.90

Q: Use Lagrange interpolation formula to find a polynomial to the following data and determine f (3)…

A:

Q: Find the nth Maclaurin polynomial for the function f(x) = xex , n = 4

A: Given: The function fx=xex To find: The nth Maclaurin Polynomial for the given function for n=4,

Q: The interpolating polynomial p(x) of degree 3 of f(x) = 6x4 – 2a3 + 9 is p(x) = -23 + 9. Select one:…

A: From interpolation formula we know that every polynomial f(x)of order n is approximated by a…

Q: Using the nodes (xo=2, x;=2.5 and x; =4), to find the second interpolation polynomial for f(x) =

A: According to the given information, it is required to find the second interpolation polynomial for…

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: Find the polynomial that fits the set of points given below 66 10 А) X3 — 0.5х2+ 6 B) X3 + 2 С) X —…

A:

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

A:

Q: i Yi -2 3. -1 x2-9x+8 3. 1. 1, 2.

A: Solution is uploaded here

Q: Express f (x)) =2x+5 in term of legendres polynomials . P1 (x) +P,(x)., 2p, (x) +5p,(x) » .b O 2p,…

A: Given,  f(x) = 2x +5

Q: 2. If f(x) = (x + 13)² +(x - 5)° + (x +5) , find f(3)- If necessary, use the Math Editor x to write…

A: our objective is to find f(3)

Q: Apply Lagrange's interpolation formula to find the interpolating polynomial for the following data:…

A: Given data: x 1 2 3 5 f(x) 0 7 26 124 x0=1;  f(x0)=0x1=2;  f(x1)=7x2=3;  f(x2)=26x3=5;…

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:

Q: For what values ​​of the parameters a, b and c is the polynomial f(x) divisible by the polynomial…

A: