The following x-y data is given 10 13 15 y 50 | 113 | 165 The Newton's divided difference second order polynomial for the above data is given by P2(x)=b0+(x-10) bị +(x-10)(x-13) b2 The value of b2 is 1/10 8/21 1 -22/21

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

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

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Q: (10) 3 f(-1) = 1, f(1) = f(0) = 4, and f(r2) = f(1) = 1, to construct interpolating polynomials of…

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

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Q: HW 2.2 Module 2 GED102-1 Submit your excel solutions for each of the following problems. 1. Find the…

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

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Q: From the given data, identify f(4) using Newton's polynomial. (2,10), (3,15), (5,25), (8,40)

A: Explanation of the solution is given below....

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

A: Note: Since you have posted multiple questions, according to our policy, we are only supposed to…

Q: tion 10 Jsing Newton's backward difference polynomial of degree 2, for the below data, approximation…

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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: 2. (a) Using Lagrange Inverse Interpolation method, find the value of x when y= 29 for the following…

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

A: x 0 1.8 5 6 8.2 9.2 12 y 26 16.415 5.375 3.5 2.015 2.54 8…

Q: The divided difference table above is for the data: X are: f(x) (4) ao = -0.2 0.0 0.1 a) Do not…

A: The divided difference table is used to determine the interpolating polynomial using the divided…

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

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

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Q: The divided difference table above is for the data: are: (3) x a -0.2 a) Do not apply any rounding.…

A: The divided difference table is used to determine the interpolating polynomial using the divided…

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: The Newton's forward difference polynomial of degree 2, for the below data is -3 -2 -1 f(x) 4 4.…

A: Data for Newton's Forward Difference formula x f(x) -3 4 -2 5 -1 4

Q: 1. Use the data given below to estimate f(3) by X 1 4 f(x) 62 Constructing: a. Linear polynomial b.…

A: Please find attachment below

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

A: We have given Newton divided interpolating polynomial for f(x) In P3(x) we just need to put x=0.75…

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…

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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: 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…

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Q: For a function  f , the Newton divided-difference formula gives the interpolating polynomial P3(x)…

A: Given data: The given interpolating polynomial is P3(x)=1+4x+4x(x-0.25)+(16/3)x(x-0.25)(x-0.5). On…

Q: 4) The following data are given. Firstly, write the general formula of the third-order Newton's…

A: First, write the general formula in terms of x0 , x1 , x2 , x3 . Then make the divided difference…

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

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Q: 1) The following data come from a table that was measured with high precision Use the best mumerical…

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

A: A Logistic regression is one type of regression which is used to predict the categorical dependent…

Q: The observed data are given below -10 -5.2 5.4 15 30 20 45 f(3 12.6 50.2 60 a)Use the divided…

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

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

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Q: 4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1,…

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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: 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: Example 7.4. Using Newton's backward difference formula, construct an interpolating polynomial of…

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

A: Given, Table with high precision. To find: Value of y at x=3.5

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

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Q: If the data was used to create a Newton divided differences Interpolating polynomial resulted in the…

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Q: 8. In Newton-cotes formula, if f(x) is interpolated at equally spaced nodes by a polynomial of…

A: To find- In Newton-Cotes formula, if fx is interpolated at equally spaced nodes by a polynomial of…

Q: Consider the interpolation data given below: x|1|1/2|3 y 3-10 2 The interpolating polynomial…

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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

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