3 A polynomial in x of degree nd x=-2, and has the values 4 and 28 TI

Q: For n = 4 , Legendre polynomial is 94 (x) = (35x – 30a? + 3)/8 %3D Find all its four roots.

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Q: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α…

Q: Form the interpolating polynomial of degree k that satisfies pG) (xo) = f(G) (xo) for 0<j< k.

A: To form: The interpolating polynomial of degree k that satisfies pjx0=fjx0 for 0≤j≤k

Q: Which of the following is a polynomial f(x) of degree 3 with real coefficients which

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Q: (a) Determine the missing values in the divided difference table provided below. xo = ? ƒ[x] = 1 x₁…

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Find the deniva tive of the given Fimction log 4 (x) +16

A: Fx=log4x+16x⇒Fx=lnxln4+16x

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3,…

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Q: 8) Determine the formula for the 4th degree polynomial f(x) shown below: -2 0 2 --6- 2

A: To determine the formula for the 4th degree polynomial  shown below.

Q: The polynomial that passes through the following (x, f(x)) data 18 22 24 f(x) ? 50 246 is given by…

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Q: Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, = 1,x2…

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Q: Let q represent the degree of the following polynomial 5xym -43y'z'+21. Find the value of q- 2. 19…

A: If a polynomial contains more than one variables then we must add the powers of each variables of…

Q: The following polynomial relates the specific heat to constant pressure of dry air Cp (in KJ/KgK),…

A: Given: Cp=1.2 KJ/KgK. Substitute the value of Cp in…

Q: Give an example of a polynomial of degree 4.

A: In Mathematics, a polynomial is an expression consisting of variables and coefficients that involves…

Q: Fra) = Sin (2t) Find the 7h taylor Polynomial of

A: Given function is  Fx=∫1xsin2tdt

Q: Q4) Fit a second order polynomial to the following data i 1 2 3 4 5 0.4 0.8 1.2 1.6 2 Ly 0 0.25 1…

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Q: (i) Consider the polynomial f(x)= x³8x² + x +52. Please accept as a given that the polynomial f(x)…

A: Given polynomial: fx=x3-8x2+x+52 It has three real roots in the interval -10,10. To find: a) The…

Q: 3. Consider the polynomial p(z) = 2³ +2²+z+1. (a) Verify that i is a root of p. (b) [ACS] Find the…

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Q: Using Newton's backward difference formula, construct an interpolat- ing polynomial of degree 3 for…

A: Newton's backward difference interpolation formula for four points can be defined…

Q: 16. La(z) = -7 + 57z - 134z + 78 is the degree (at most) 3 interpolating polynomial for the dala in…

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Q: Now, from the definition of k(m), given by equation (1.135), we find on setting n = 0, 1, 2, ...,…

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