If R is commutative ring then deg(ƒ(x) + g(x)) = max(deg(f(x)),deg(g(x). %3D False True

Q: What do you mean by cofactor and also define the same?

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Q: Evaluate V(4z + 12) – 6 lim 3z- 18 None

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Q: lim,-2 3x? – x – 7 |

A: Applying limit property

Q: Use Cramer's rule (by hand) to find the unique solution of x1 +3x3 = -1 -3x1 +2x3 = 1 2x2-x3=0

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Q: Show that the multiplicity of (x-1) is 1.

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Q: -1 Find the minors and cofactor of A given by 2 -1 1

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Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

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Q: x²-4 Find domain of and Vx2 – 3

A: Here, the given functions are  x2-4x and x2-3 We need find the domain of the given functions.

Q: Use Descartes’s Rule of Signs to determine the possiblenumber of positive and negative real zeros…

A: Given function is f(x)=3x^5-2x^4-2x^2+x-1Firstly,we count the number of changes in signs for the…

Q: Using Cramer's rule X1+ x2 + x3 = 20 X1 – x2 + x3 = 4 2x1 + x2 – x3 = 16

A: Cramer rule is used to for solving system of equations directly without undergoing multiple…

Q: Can you solve it using Cramer's Rule

A: Solution:

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: 2х1 + 3x2 — хҙ — 2 Зx1 — 2х2 + Xз — —1 -1 %3D -5x1 4x2 + 2x3 = 3

A: Consider the provided equations, 2x1+3x2-x3=23x1-2x2+x3=-1-5x1-4x2+2x3=3 Solve the above equation by…

Q: Write cos(2a) polynomial expression of cos(a). as a (a) -1+2 cos (a) (b)1+2cos²(@) (c)1-cos²(a) (d)…

A: Given cos(2α),

Q: what is the characteristic of Z6xZ9

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Q: Define the Newton form of the interpolating polynomial?

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Q: Use algebraic manipulation to prove that (x + y) · (x + ) = x

A: We need to prove that:Solving the Left Hand Side,Now, right Hand side,

Q: g(x)=-3/(x+17) + 29

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Q: Part J only

A: Note: Since the student has mentioned to solve only part (j), so we are solving accordingly to part…

Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: Which of the following is the domain of the inverse of b(x) = 3x-2. x+3 A) dom b1: {x ER} B dom b-1.…

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Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

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Q: A variable circle passes through the point A(a, b) and touches the x-axis. Show that the locus o the…

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Q: Construct the addition table for Zs. Using this table, or otherwise, determine the following x in…

A: Solution: