A polynomial of degree n is developed using the interpolation method which based on the n-1 number of discrete data points. * True False

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: What is the main condition in polynomial interpolation?

A: Interpolation polynomial: A polynomial Px is called an interpolating polynomial if the value of Px…

Q: A market research group conducted a survey of 1000 consumers andreported that 720 consumers like…

A:

Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

A: Given nodes are x0=2, x1=2.5, x2=4 and function is f(x)=1x Now table is x 2 2.5 4 f(x) 0.5 0.4…

Q: Find the greatest common divisor (GCD) and the least common multiple (LCM) of 1575 and 66. Hence…

A: Given number's 1575 & 66  Division algorithm: If m and n are integers and n is positive there…

Q: What are the advantages and disadvantages of piecewise polynomial interpolation?

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Q: 22/By using Newton's backward difference formula, construct an interpolating polynomial from the…

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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: xpress the polynomial in factored form p(x)=x^3-x^2-8x+12

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Q: Illustrate the Partition sum of squares Y into sum of squares predicted and sum of squares error?

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Q: Which of the following polynomials is a difference of​ squares? A.49x^2+64 B.7x^2-8…

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Q: If P, be a polynomial of degree n, i.e., P, = aok" + a;k"-1. + a, then A" P. = aon!.

A: We have to solve given problem:

Q: Use the substitution method to evaluate V1-22dx

A:

Q: Interpolation is a type of estimation, a method of constructing new data points within the range of…

A: Suppose that there are three points x1,y1,x2,y2,x3,y3. The given system is:…

Q: Obtain Newton's interpolation polynomial in divided differences considering the data (1,2), (3,3),…

A: We have: x x0=1 x1=3 x2=4 x3=8 y y0=2 y1=3 y2=2 y3=10 We first make the divided difference…

Q: What is Sum of Squares in f test?

A: In ANOVA, “SS” stands for “sum of squares”, “df” stands for degrees of freedom, F is for the test…

Q: A constant temperature, pressure-volume thermodynamic process has the following data: Pressure 420…

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Q: ans 1. %3 4x+ 2 9x-3°

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Q: Write a program to multiply two numbers without using MUL function (both numbers should be odd).…

A: Assembly language program to multiply two numbers- Lets identify variables needed for this…

Q: define polynomial .

A: Consider the given information as define polynomial

Q: Construct the highest degree Lagrange Interpolation Polynomial. Xi yi 1 3 -1 -2 3 100

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Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

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: Express as a polynomial.

A: Express as a polynomial.         9p4q3-6p2q4+5p3q23p2q2

Q: The maximum degree of interpolating polynomial can be built using four data points is Answer:

A: We will find out the required value.

Q: Find the remainder when dividing the polynomial x^3-4x^2-7x+2 by x-5

A: detailed solution is given below

Q: Perform Crout's method on 2x₁5x₂ + x3 = 12 -X₁ + 3x₂x3 = -8 3x₁4x2 + 2x3 = 16

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Q: Find iterpolation polynomial p2(x) = ax² + bx + c that passess through the points: (0,7), (1,12),…

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Q: Determine the coefficient of determination r^2,

A: The correlation coefficient is, r=n∑xy-∑x∑y∑x2-∑x2∑y2-∑y2  =143763-162×284142446-1622146180-2842…

Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

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