(xi) f(x)=sin( (xi) f(x) [r] on [0, a] f(x) = 0 for some x between n and n + 1. (ii) f(x)-5r4 +2r +1. 2. For cach of the following polynomial functions f, fi nd an integer n such that (iii) f(x) = x5 + x + 1. (iv) f(x) 4r24r + 1.

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A:

Q: 4. Consider the function f(x) = e-¤*/2. Suppose you approximate this function with a O for a value a…

A: Given the function  fx=e-x22centered at a=0 for a value x in the interval 1,3.

Q: Q-2. Determine the values of x for which the function J (X) =$in Xcan be replaced by the Taylor 3…

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A:

Q: 6. Find the nth degree polynomial that satisfies the given conditions. (R__S_ n = 4, and 2 + 3i are…

A: Given: - The conditions are, n=4, 13and 2+3i are zeros: f(1)=100 To find: - The nth degree…

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Q: Let g (x, y) = 9 sin(xy) – 11x² In(y) + 4. Find the degree 2 polynomial, p, which best approximates…

A:

Q: 4. Find the polynomial function f(x) of degree 4 with zeros 2 (multiplicity 2) and 3i, f(0) =36

A:

Q: 2#Find the the Taylor's polynomial P2(x)for the function f(x)-4x²e 2x about xo-and hence find…

A: The given question has been solved in step 2.

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

Q: (D) Since x + 7 is never 0, there is no vertical asymptote. Since f(x) – o as x –∞ and f(x) e 00 as…

A: The solution are next step

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Q: Let f(x) = x³ + x + 4 and g(x) = 3x + 2 in Zs[x]. Then, upon dividing %3D f(x) by g(x), we get None…

A: f(x)=x3+x+4 and g(x)=3x+2 in Z5[x].

Q: 1 f(x)= 1-x The third Taylor polynomial of the function f(x) at x = 2 is

A:

Q: Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply…

A: Our goal is to approximate the positive real number x that satisfies sinx=x3We will apply Newton's…

Q: 3. The polynomial f(x) = 0.0074x* - 0.284x + 3.355x - 12.183x +5 has a real root between 15 and 20.…

A: Let,  f(x)=0.0074x4-0.284x3+3.355x2-12.183x+5 Hence, f′(x)=0.0296x3-0.852x2+6.71x-12.183   The…

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Q: 1) Let f(x) = e2* Find 3rd Maclaurin Polynomial for f(x)

A: Given f(x)=e2x To find the third order maclaurins polynomial

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Q: 2 Jlju غير مجاب عليه بعد الدرجة من 0 3.0 علم هذا السؤال The Maclaurin polynomial of degree 5 for…

A: We have to check

Q: Let f(x) = x³ +x + 4 and g(x) = 3x + 2 in Zs[x). Then, upon dividing f(x) by g(x), we get None of…

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Q: 3/2 Construct the fourth degree Taylor polynomial at x= 0 for the function f(x) = 3(1 - x)2. P4(x) =

A: Solved below

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A:

Q: 2. Find the MacLaurin polynomial of degree 16 for the function F(x)= So sin (6xt²) dt.

A:

Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. n =…

A: Given that n = 3And  - 6 and i are zerosAnd f(-3) = 60To find an nth degree polynomial function with…

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A: To find the Taylor series polynomial and the error

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Q: The Taylor polynomial for the function f(x) = - co: (-1)* (2*+1)!' (-1)* (2 k +1)! None

A:

Q: 7. Let f(x) = x³ + 3x – 2. a In view of the fact that f(0) = -2 and f(1) = 2, why would you expect…

A: This is odd degree polynomial so it have range of a real number and.  Imaginary roots comes in .…

Q: 3. Find the Taylor polynomial of degree 3 centered at x = 4 for the function defined by f(x)=√x.…

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A: Given :- zero :- 5+9i and degree =2 To find:- A polynomial f(x) with real coefficients and leading…

Q: From the table find f(1) using interpolating of Lagrange polynomial -102 Y=f(x) 2 -1 5 1 O -1 O о о…

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Q: x – 2 - Let g(x) x +3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

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Q: The polynomial of degree 3 P(x), has a root of multiplicity 2 at x=5, and a root of multiplicity 1…

A: Root Multiplicity is the multiplicity of a member of a multiset is the number of times it appears in…

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Q: 3. Use a divided difference table to find the Hermite polynomial approximation of a sin(2x-3+1 which…

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Q: ve an expression for f(x) using only Real-valued coefficients, having degree 4, passing through the…

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Q: 17) Find P₁0 (x), the Taylor polynomial f(x)= tan¹ (x³) at a=0. P(x) = x²³ - ²¹ +² the function

A: To find the Taylor's polynomial

Q: Let g (x, y) = 9 sin(xy) – 11x² In(y) + 4. Find the degree 2 polynomial, p, which best approximates…

A: Given: g(x, y) = 9sin(xy) -11x²ln(y) +4 To find: Taylor Polynomial of 2nd degree   Dear student,…

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Q: A. Compute the bound B of the error when approximating f(x)=sin(x) with a polynomial of degree 1 in…

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Q: (a) The nth Maclaurin polynomial pn(x) -x* of a (n times differen- k! %3D k=0 tiable) function f(x)…

A: A Maclaurin polynomial (Taylor polynomial at 0) expansion is given by,