| Let A = P({1,{1}}}, B = P({0,1}), and C = P({0,1}) where P(S) is the power set of S. Find the result of each of the following set operations: a. B-C b. AU (B-C) c. d. An (B-C) Ax (1,(1}}

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: Determine integers x and y such that (а) gcd(51, 288) — 51х + 288у (b) gcd(357, 629) = 357x + 629y

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Q: find a if A=8a

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Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

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

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

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

A: Solution

Q: if c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs, use functional notation…

A: If c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs.We use functional…

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

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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: Let G = Z and H=3Z. Decide whether or not the following cosets of H a written in additive notation).…

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Q: Find the Domain of 1, if f(=) 0(s-6) %3D O Domain: y is all real numbers O Domain: y N0 O Domain: NO…

A: Given f(x)=6(x-6)2 To find f-1, assume y=f(x) then swap variables to find f-1

Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2.…

A: We have to find domain

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: Compute r2

A: Given the calculated values, t value, t = 2.17

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: For the numbers 1, 2, 4, 6, 8 Compute:  SX   SX2   (SX) 2

A: Given data is1, 2, 4, 6, 8

Q: make the following statement true x=-1 iff, if or only if x2+2x+1

A: Let's find.

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

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Q: Write the elements of the following in terms of powers of X: 1. Z₂ / 2.Z₂/ 3.Z3/

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Q: Add. x+1 X + 2 +52 x²+4x-5 x²-1 x(x-1) 2x+1 x(x-1) 2x²-1 x(x-1) x²+3x+1 x(x-1)

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Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.

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

A: