Use finite differences to determine the degree of the polynomial that best describes the data: y. -428 -5 -228 -104 -3 -38 -2 -12 -1 -8 -8 6 3. 52 4 148 312

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: Classify the given polynomial by degree and number of terms. -2y+5y

A: Types of Polynomials Monomial = The polynomial with only one term is called monomial. ... Binomial…

Q: Find y(4.5) if a second-degree polynomial is fitted to the following data: (1, 1.1), (1.5, 1.3), (2,…

A: x y 1 1.1 1.5 1.3 2 1.6 2.5 2 3 2.7 3.5 3.4 4 4.1 We need to find the second degree…

Q: After constructing a divided difference table, what is the order of the polynomial that can be used…

A: Ans a

Q: Write the polynomial as the product of linear factors and list all the zeros of the function.f(z) =…

A: Our Aim is to write the polynomial f(z)=z2-2z+2 as the productof linear factors and to list all the…

Q: Write a possible function for the polynomial shown: y 67 4. 2- -2 2 3 4. 1.

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Q: Graph the polynomial P(x) = -(x + 3)3 + 8, showing clearly all x- and y-intercepts. y y 20 50- 10 40…

A: x - intercept , where the graph cut the x - axis . And y - intercept , where the graph cut the y -…

Q: (a) determine the polynomial function whose graph passes through the points, and (b) sketch the…

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Q: The number of U.S. travelers to other countries during the period from 1990 through 2009 can be…

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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

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Q: find the  t-intercepts of the polynomial functions: C(t)=3(t+2)(t−3)(t+5)

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Q: The upward velocity of a rocket is given as a function of time in Velocity as a function of time. t…

A: Consider a set of n+1 data points. For those data points fit a polynomial of order n as…

Q: Write the expanded form of the polynomial function with real integer coefficients, a lead…

A: Solve the following

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: Use finite differences to determine the degree of the polynomial that best describes the data: y…

A: In such questions, we check the differences of x and y. Here, x is increasing by 1. Now, we check…

Q: Find a polynomial function that has the given zeros.0, 1, 6

A: Given:          x=0, 1, 6 If x=a is a zero of a polynomial f(x), then (x-a) is a factor of f(x). So,…

Q: Consider the polynomial f (x) = 3-5x - x3. Using the forward-divided difference

A: Given, the polynomial                         f(x)=3-5x-x3

Q: Graph the polynomial function using a calculator. f(x) = x(x – 4)(x + 4) y 6아 60 4아 4아 2아 2아 -8 -6…

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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: Write a polynomial function with the given zeros and their corresponding multiplicities  zero…

A: To find the polynomial function

Q: 3. Use finite differences to determine the type of polynomial function that could model each…

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Q: Use finite differences to determine the degree of the polynomial that best describes the data: -5 37…

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Q: Determine the least possible degree of the polynomial function shown. y 3- 2 -5 4 -3 -2 -1 1 2 3 -3-…

A: Graphically, number of real roots of the equation is equal to the number of places where graph cuts…

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

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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…

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Q: Find y(5) if a second-degree polynomial is fitted to the data points (1, 4), (2, 6), (3, 9), (4,…

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Q: Describe the properties of the graph of the given polynomial functions as to the following * Leading…

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Q: 5. Find the best fit by a first degree polynomial for the following data: x -3 -1 0 2 y 8 5 4 1

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Q: 4. Describe the left-hand and right-hand behavior of the polynomial function f(x) = 2x² +6x² Left…

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Q: Use differences to determine the polynomial function for the given data: f(x) -5 -6 -1 3. 10 27 4)

A: First find the differences D1 between the points in fx and check whether it is a constant. If yes,…

Q: The ____ term of a polynomial is the term of highest degree

A: Given: The _____ term of a polynomial is the term of highest degree

Q: For the given data in the table below, find the polynomial of minimum degree which fits the data? -3…

A: By using excel we will fit the best polynomial which can give best r^2 value. Answer : 4th degree…

Q: Q4. Find the interpolating polynomial of least degree that interpolates these sets of data: 3 7 a)…

A: The objective is to find the interpolating polynomial of the least degree. (a)Given data is x 3 7…

Q: Find y(4.5) if a second-degree polynomial is fitted to the following data: (0, 3), (1, 6), (2, 8),…

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Q: [A] In the following table, locate and correct the error, by using the difference table, in which y…

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Q: Evaluate the polynomial by finding the value of y when x = 2. If decimals, use 8 decimal places. xdy…

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Q: 1 2 y| 7.25 8.17 6.54 7.89 3 4

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Q: Find y(5) if a second-degree polynomial is fitted to the data points (1, 4), (2, 6), (3, 9), (4,…

A: The given problem is to find the second degree polynomial and find the value of polynomial at x=5…

Q: y 5- 4+ 3- 1- -4 -3 -2 -1 о 12 3. 4 -2- -3+

A: We observe that the derivative of the given function is zero at three distinct points.

Q: Construct the difference table and find the polynomial that fits the set of points (0, 5), (1, 6),…

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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

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Q: 2. Use differences to determine what type of polynomial function best represents the given data.…

A: By use of newton forward difference you can solve

Q: What is the formula for w(x), the node polynomial?

A: Node Polynomial: Let f (X) be a function on the interval [a, b] and n nodes are chosen on the…

Q: Graph the polynomial P(x) = -(x + 2)3 + 27, showing clearly all x- and y-intercepts. y y 50 50아 40…

A: In this question we will use basic of calculus i.e concept of graphing of polynomial function. We…

Q: Use finite differences to determine the degree of the polynomial that best describes the data: y -5…

A: We will check the finite differences which are constant.

Q: Use finite differences to determine the degree of the polynomial that best describes the data: y -5…

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Q: What is a polynomial?

A: A polynomial is an expression consisting of variables and coefficients, involving the operations of…

Q: Determine the third order polynomial below which has the following cartesian confitates (-1,-16),…

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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

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