Given the sets X={0}X={0}, A={−1,0,1}A={−1,0,1}, and B={4,5}B={4,5}, Find the following: n(X) n(A x B) n(X x B)

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

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Q: (2.1) Perform the indicated operations: a) (6 m² – 3 m³) (2m + n) b) (5x + 7y) + ( -5x + 2y) c) (2x…

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Q: Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B…

A: Cartesian product: The cartesian product of the sets A and B is defined as the set of all the…

Q: -3(w+1)+8(w-3)=-5w+9+6w

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Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

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Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: Find x, and x2- -52 28 -5 5 X2 40 X =

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Q: If v1 = and v2 = are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -4 and A2 =…

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Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: a (x + 4y) = ax + 4ay Select one: O True O False

A: Given here a function and asked to find whether it is true or false

Q: Given w= (-4, 12), s=(-6, -2), and r=(4, 11), %3D find 6r-(w+s). 6r-(w+s) =(| , O)

A: This is related to vector addition sub, and mul

Q: Find x, and x2.· - 5 - 4 X1 - 55 4 - 5 X2 3 X1 = %3D II

A: To find x1, x2

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

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Q: f A = (1 2)           (-4 5)   and B (-3   1)            (0  -2) calculate ATB

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Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Z4×Z6 has an element of order 24. true or false ?

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Q: f

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Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.