1 (a - b) In K2 = | (a − x) (b - x) After solving this expression we get, 1 t(a - b) 31 = K₂ ti t] ln b(a - x) a(b − x) (201

Q: Which of the following series converges? 3n A n + 2 n=1 3n В n2 + 2 n=1 Зп n2 + 2n n=1 3n? D n3 + 2n…

A:

Q: State the Remainder Theorem.

A: Statement: If f(x) is divided by (x-a) then the remainder will be f(a).

Q: Write down a simple script to divide fi (x)=2x + 9x2 + 7x - 6byx + 3 USE THE MATLAB AND SOLVE THE…

A: script

Q: Write p(x) = 375 -7³+57²-1 in the form of nested multiplication. Compare the computational cost…

A:

Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Our Aim is to find two positive real numbers a and b such that they add to 40 and their product is…

Q: Find minor and cofactor of the first row and then use them to find 3 -7 -1 0 -8 8 2 3 -7 -1 = Choose…

A:

Q: In linear algebra, the column space and the row space have the same dimension.   (True or False)

A: The given statement, "The column space and the row space have the same dimension".The objective is…

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A:

Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: Generate the 2nd and 3rd degree Legendre polynomials.

A: Since we know the Rodrigue's formula of Legendre polynomial is Pn(x)=12nn!dndxnx2-1n For second…

Q: Generate the 6th degree Legendre polynomial.

A: Solution

Q: Find the dimension for M3,2

A:

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Find Doma'n raye -3 x2-s x x 7-5

A:

Q: Explain Runge - Kutta 2-order method.

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Q: Find the first 3 Maclaurin polynomials?

A:

Q: The number of polynomials having zeroes as -2 and 5 is

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Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

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Q: Choose at least 5 among the properties of the Real Number and give them an example in real life…

A: Solution is given as below:

Q: Find the zero-divisors of Z6.

A: To find The zero divisors of z_6.

Q: Multiply the polynomials (x-1)(x* +x³ + down an identity for (x - 1)(x" +x"-1 +..+x² +x + 1) for n a…

A: Multiply the given polynomials using table (x-1)(x4+x3+x2+x+1)   x4 x3 x2 x 1 x x5 x4 x3 x2 x…

Q: Define the Newton form of the interpolating polynomial?

A:

Q: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: How do you go about figuring out the upper and lower bounds for a polynomial? Is it just random…

A:

Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.

Q: Find sub spaces row (A), column (A) and null (A). Find rank 103 A=015

A: first we shall find rank of the matrix then find row space, column space and null space

Q: Q2/sit a second order Polynominal to the data X 2 3 3 9. 1 2 4 y 4 7 -1 6. 2 4 3

A: we have to find the second order polynomial from the given data.