Solve the problem. Let V be in P, involving evaluation of polynomials at -5, -3, 0, 3, and 5, and view P2 by applying the Gram-Schmidt process to the polynomials 1, t, and t2. O Palt-1²-10 Op-²-15 Opa-1²

Q: Q.5: For the given data; x f(x) 1 3 2 6 3 19 5 99 7 291 8 444 Calculate f(4) and f (2.5) using third…

A: Let the given data be x0,y0, x1,y1, ..., xn,yn. To obtain the n-th order Lagrange interpolating…

Q: polynömial that passes through the three points (0, 1), (1, 2) and (2, 23). If the coefficient of x…

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Q: Which polynomial lists the powers in descending order? OA. 3x6+10x² + x³ + 8x³ - 2 OB. x+3x6 +8x³ +…

A: To find which of the given polynomial has powers in descending order that the x has powers in…

Q: Why do -5 and 20 (in the finally result) not further reduce?

A: Given:

Q: 17. What is the second term of (m - 5n)° when expanded? a. 15m?n b.- 15m?n с. 125m?n d. -125m'n…

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Q: Is 6 a factor of 54y + 42z? yes no

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Q: The interpolating polynomial p(x) of degree 8 of f(a)=624-22³+9 is p(x) = 624 - 2x³ +9. Select one:…

A: The answer is false .

Q: to Snuer x cdn.studentuae.examus.netridbon= 18sessinid-235252kueverOngn-p/poganumut swer. 0910c0 ch…

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Q: 2 Find explicit formula ao = 1, 9₁ = 2, an = an-₁ + 2 an-2, ti untumemial meth

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Q: 5 Q. Rationalize the denominator of (J2–3)

A: As per the guidelines I can solve only first question

Q: Let j(a) = 9x + 2x+2x2 +4 and k(x) = 2+ 2x +4x + 6x°. If we were to create a new function m(a) =…

A: We know that, for a function hx in form of hx=fx·gx having degree of fx as m and gx as n is m+n. The…

Q: Let P₂(x) be the Lagrange interpolating polynomial for the data (1,0), (1.5,y) and (2,3). Suppose…

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Q: 8 (x)= 1 centered at a =0 1+x

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Q: x + 1, then find the value of a. The polynomials ax - 3x² +4 and 2x - 5x+awhen divided by (x – 2)…

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Q: Suppose a 3rd degree polynomial with real coefficients hasx = -4 and x =1+ y3 as two of its zeros.…

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Q: 2) Consider the following table; The polynomial x 0 1 2 3 4 56 1 -1 3 P3(x) = 1 − 2x + 3x(x − 1) —…

A: P3(x) is a polynomial of 3rd degree.

Q: I Use the bisection method to find p3 for f(x) = r - 16 2 on [0, 1]. 0 0100 نت | حظر 3 ده | د |- 4 د…

A: To reach the exact root halving the interval in each step. P3 is the third approximate step.

Q: Give an interpolating polynomial for f(x) = ²x at x = 0, 1 and 3. Evaluate it at x = 2 and give the…

A: The given function is: fx=e2x. The points are: x=0,1,3. Find the Lagrange polynomials.…

Q: Change the following data, such that the data follows a certain fourth-degree polynomial. X: -2 -1 0…

A: Newton's divided difference formula can be defined as:…

Q: [A] The following values are obtained from a certain fifth order polynomial. 9 37 243 1017 3109 7749…

A: The given values obtained from a fifth order polynomial is:

Q: We applied the Polynomial Lagrange Interpolation method to obtain the second degree interpolating…

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Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: Given the following points (–1,1), (0, –3), (1, –1), and (2,19). Let x, = -1, x1 = 0, x2 = 1, and x3…

A: Given x f(x) -1 1 0 -3 1 -1 2 19

Q: Take the digit in the tens place as b, the digit in the hundreds place as c, and the digit in the…

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Q: Let f(x) = , find L, (x) of the second Lagrange interpolating polynomial, if x, =2, x, =2.5 , x, =4…

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Q: Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0),…

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Q: Apply householder reflectors to find QR-factorization tt of A = [ 23 -1 ] such that A= QR when Qis…

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Q: Find the Lagrange interpolating polynomial for this table 2 2.5 34 -1/3 3/32 4/3 25 I Y

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Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.

Q: Find constants A, B for which Answer: -1+t t22t-3 where f, g are linear polynomials with leading…

A: We have to compute the values of A and B such that . Wehave to use the partial fraction…

Q: Find the Taylor polynomials p3 and p4 centered at a = 1 for f(x) = 8/x

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Q: (a) Table 1 shows the COVID-19 data in Malaysia. Compute using Lagrange Interpolating Polynomial: i.…

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Q: 1. Find the Lagrange form of the interpolating polynomial for the following table of values: *| 1/3…

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