Let set A = {4, 5, 6, 7, 8}, B = {4, 6, 8, 9}, and C = {4, 9, 10}. Find the following. (Enter your answers in roster notation.) (a) An (BUC) (b) AU (B n C)

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: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red}. Find the number indicated. n(A x C x C)

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Q: et A = {m, 4, 2, 13}, B = {1, 2, 4, 13, -2} and C = {1,3,5,7,9} Find AUB. Find ANC. Find (AUC)NB.

A: From the given data we should find  A∪B,A∩C   and (A∪C)∩B1) AUB Means all the elements written…

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

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Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = n(A x A x C) T {red, green, blue}. Find the number…

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Q: Let A = -4 2 [33] - 3 - 4 Find - 2A. - 2A =

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Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

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

A: Solution

Q: = Let A = 9 -6-1 Find 4A + 3B. 4A + 3B = 7 and B = -2-5 7 8 (...

A: We will find the required.

Q: -4 c4x Evaluate . So S dydx.

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Q: 5 a. Evaluate 2cos4t 3

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Q: Find, if possible, (a) AB and (b) BA.

A: We know the order of a matrix is defined as  ---->  m x n where, m = number of rows…

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

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Q: Pivot once as indicated in the given simplex tableau. Read the solution from the result. Pivot…

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Q: Find, if possible, (a) AB and (b) BA.

A: (a) Consider the given matrices A and B. As the number of the rows is equal to the number of columns…

Q: Let A = 0 5 8 - 3A + 2B = -9 Find -3A+2B. and B = -93 92 C...

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Q: The order of (3, 4) in Z4 × Z10 is  a. 4 b. 12 c. 40 d. 5 e. 20

A: The objective is to find the order of 3,4 in Z4×Z10 First find the order of 3 in Z4, then find the…

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: Let u= (-2, – 1) and v= (-8, -5). Find u+ v.

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Q: Find (- 3)BA + (6)CD, if possible. 3 - 5 5 4 -5 1 - 3 D= -2 1 - 1 2 2 3 6 9 - 4 1 Select the correct…

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Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

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Q: Find, if possible, (a) AB and (b) BA.

A: A is a 3x3 matrix and B is a 3x1 matrix So the product AB will be possible. Because the number of…

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: If a = (3, –3, –10) and b = (-8, –4, –10) find a · b =

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Q: Find BA. A = BA= -1 - 1 -6-2 B = -2 - 3 -4 -1

A: Given:     A = -1-1   -6-2    B = -2-3  -4-1

Q: d. (7, -5) h. (0, 1) c.(-8, 7) g. (7,-1) b. (-6, 6) a. (3, 8) f. (-4,-8) e. (5,-4) Part 1 out of 8…

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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”.