approximate the solution to:   y' = x2 + y;  y(1)=1. y1(x) ______________     a) y= 1-x+1/6 x3  b) y=-1/2+x+1/2 x2 c) y=-1/3+2x+1/6 x2   d) y=-1+x+1/3 x3  y1(2) ______

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A:

Q: Find a polynomial function of degree 4 whose zeros: 3+2i; 4 (multiplicity 2)

A: A polynomial is a function in variable x of the form anxn+an-1xn-1+···+a1x+a0. This polynomial has…

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Q: 1. (a) Let f(x) be a function which is infinitely differentiable in the neighborhood of a point x =…

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A: Question is related to polynomial.

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Q: Using MOSA find the polynomials that will approximate the solution to: y = x + y; y(1)=1. y1(x). a)…

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A: topic - polynomial

Q: Degree: 4 ; Roots: x=0, x=i

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Q: Find the Maclaurin’s polynomial of degree 3 for  ( a ) f ( x ) = (1 + x ) e 2 x ( b ) f (x) = ln(3…

A: Given, f(x)=1+xe2xf(x)=ln(3+ex) To find: Maclaurin's polynomial of degree 3

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A: Given: Let us consider the given Pnx=∑m=0M-1m2n-2m!2nm!n-m!n-2m!xn-2m where M=n2 or M=n-12

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Q: x - 2 2. Let g(x) = %3D x+3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate…

A: Power seriese expansion

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A: Since you have asked multiple questions in single request,   So we will be answering only first…

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A: We have to check

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A:

Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

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Q: A 6th degree polynomial with roots at: x=1, x+1= 2  Square root 3, X=3+i

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Q: Using MOSA find the polynomials that will approximate the solution to: y' = x + y; y(1)=1. y1(x) a)…

A: It is given that y'=x+y; y(1)=1 Compare the above IVP with f(x,y); y(x0)=y0 We obtained f(x,y)=x+y…

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A: The zeros for polynomial functions are 0, 3i and 2+i.

Q: 4 - According to table 1 values which one is the approximation of f(1.7) (just degree 1, P1 (1.7))…

A: To find the approximation of f(1.7) we will use the formula of Lagrange's Interpolation. Then we put…

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A: We have f(x)=x3-x2-3x-3 iteration formula for secant method is: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the…

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Q: 4. Aquadric surface A. must have either x², y², or z² or a combination of those, on its general…

A: To Determinewhich of the following  is correct.A quadric surfaceA) Must have either x2, y2 or z2 or…

Q: 8. Find a polynomial of degree 4 that has integer coefficients and zeros: 1, -1, 2, ½. Q(x) : %3D

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Q: 3 and x = 1 – 4i and a lead Find a degree 3 polynomial with real coefficients having zeros x =…

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Q: 1. Find a polynomial of degree 6 with real coefficients and having zerós -3, 0, 2, 5, and 1+2i.…

A: We can use the concept of roots of polynomial and congugat roots of polynomial.

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Q: using tbe bairstow Method to find a complex root for f(x)=50-8x^3-62x+x^4,where (x^2) is…

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Q: 8. Form a polynomial function with real coefficients having a degree of 4 and the zeros: -3, 1, 2i.…

A: Given,            A polynomial function with real coefficients having a degree of 4 and the zeros:…

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A: given  fx=1x claim- to find the approximation of 12.1 using a taylor polynomial using the function…

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Q: A scientist has executed one experiment to identify the values of an unknown function f(x). The…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Approximate the value of 1/ 2.1 using a Taylor polynomial using the function k(x) = 1/x centered at…

A: Given - Approximate the value of 12.1 using a Taylor polynomial using the function kx = 1x centered…

Q: 5. A third degree polynomial passes through the points (0, – 1), (1, 1), (2, 1) and (3, – 2).…

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Q: c. Find a polynomial of degree 4 with real coefficients that has a root 3 (multiplicity 2), a root 1…

A: see below the answer

Q: A polynomial f (x) with real coefficients and leading coefficient 1 has the given zero(s) and…

A: Given Zeroes= 4+3i, -2+i therefore conjugate of above zeroes are also zeroes of f(x) Therefore 4-3i,…

Q: 1- Using Newton's backward difference formula, construct an interpolating polynomial of degree 3 for…

A: When the value of function at certain equally spaced points is known then the Newton's backward…