) A polynomial f(x) of low degree is tabulated as follows: -3 -2 -1 1 3 4 6. f(x)-30 -12 0. 3 4 9. 19 38 69 Two errors in the values of f(x) are suspected.Find the product of the corrected values.

Q: 29. Write a third-degree polynomial f(x) with integer coefficients and zeros of i, -3, and 3.

A: Given  zeros of a third degree polynomial 14,−12 and 3

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A: Find: Maclaurin polynomial for √(1-x) and express the error with Landau's big O notation.

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Q: 8. Find a polynomial of degree 4 with integer coefficients and zeroes 3i and 4, with 4 a double…

A:

Q: The general polynomial of degree n has the form P(x) = an xn + an-1 xn-1 + ........ + a2 x2 + a1 x +…

A: Consider the general form polynomial of degree n which is shown below,

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A: Given the figure,

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Q: find the equtions f(x) of a polynomial having following zeros: x=-1 with multiplicity 3 x=2 with…

A: equation of polynomial:-

Q: 3.8 (a) Evaluate the polynomial y = x' – 7x2 + 8x – 0.35 - - at x = 1.37. Use 3-digit arithmetic…

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Q: 10) Find the cost of evaluating p2(x), for a specific x, where p2(x) is the Lagrange interpolating…

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A:

Q: There is an inaccuracy in the following table of a low degree polynomial p(x). x p(x) 0.0 0.000 0.1…

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Q: 4. Consider the polynomial f(x) = 4.x – 3x + 2. Note that f(-1) 1, and f(1) = 3. Determine if there…

A:

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = -4 and x = 11.

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Q: Given the polynomial f(x)=x^2−3x, what is the smallest positive integer a such that the Intermediate…

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Q: A basic fact of algebra states that c is a root of a polynomial f if and only if f(x) = (x -…

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Q: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

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Q: Find a polynomial f(x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: To find a polynomial f(x) with degree 4. Given zeroes : 8,-1 (multiplicity 2) ,0 Here, multiplicity…

Q: A polynomial f(x) of low degree is tabulated as follows: -3 -2 1 3 4 6. f(x) -30 -12 3 45 19 38 69…

A: Given that x -3 -2 -1 0 1 2 3 4 5 6 f(x) -30 -12 0 3 4 5 9 19 38 69 Newton's forward…

Q: Suppose that R(x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose…

A: Suppose that R(x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose…

Q: Find a polynomial f (x) of degree 5 that has the following zeros. 3, -4 (multiplicity 2), 7, -2…

A: Find a polynomial F(x) of degree 5that has the following Zeros3,-4 (multiplicity 2) , 7,-2

Q: #44

A: If x=1 is a zero then (x-1) is a factor. It has multiplicity = 4 so (x-1)4 is a factor.  x=-2 is a…

Q: 2. Evaluate the polynomial: y = x° – 7x + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with…

A: Explanation Given polynomial is  y = x3-7x2+8x-0.35 we have to evaluate the given polynomial at…

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A: Solution by using Newton's forward difference interpolation method .

Q: Find a polynomial of degree 3 such that f(0) = 2, f'(0) = 4, f''(0) = 11, and f'''(0) = 22. P3(x) =D

A: To find a polynomial of degree 3.

Q: 7. find a polynomial function with real coefficients that has the given zeros: 0, 3, 2+i

A:

Q: (() A polynomial f(x) of low degree is tabulated as follows: -3 -2 |-1|0|1 23 4 5 6 f(x) – 30 | –12…

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: Find the polynomial of degree 3 with leading coefficient -2 and zeros at 2, 4, and -3. a) O-2- 10²…

A: The polynomial will bekx-αx-βx-γwhere 'k' is leading coefficient α,β,γ are zerossubstitute…

Q: find n∈ℕ is the polynomial f(x)=x2n +xn+1 divisible by g(x)=x2 +x+1?​

A: Given:            f(x)=x2n+xn+1             gx=x2+x+1

Q: What is the fermat value, in polynomial form, of integer 'a', if a=x^4 + 1; p=x^2 + 1?

A: We have to find the Fermat value 'a' which is given in the following form, a=x4+1p=x2+1

Q: 8. Construct a polynomial with Z coefficents with a root of the given C 3+ V5 (a) (b) 2+ 3і (c) 1-…

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Q: Suppose that R (x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose…

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Q: = -5. Let p2(x) be the interpolating polynomial of f(x) at xo = Then, the error term in…

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Q: 8. Find the sum of all the zeros of the polynomial f(x) = x + 2x2-5x-6 O -5 -2 0. 2 6

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and…

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Q: 17. Find the solution to the interpolation problem of finding a polynomial q (x) with deg(q) < 2 and…

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Q: Find the critical points, A and B, of the following polynomial (with A<B) f(x) = 6x3 - 45x2 - 432x…

A: A = -3.04 B = 8.04

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Q: 1. (a) Evaluate the polynomial y = x³ 5x2 + 6x + 0.55 at x = 1.37. Use 3-digit arithmetic with…

A: Solution a: Given polynomial is y=x3-5x2+6x+0.55 at x=1.37…

Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 1 zeros at -6, 4, and 7…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.