Compute A∪B, A∩B, B\C, and (A∩B)\C where A={2,3,5,7,11,13}, B={2,3,4,5,6,7,8,9,10,11,12}, and C={n∈N | (2|n) ∧ (3|n)}.

Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: Let S = {0, 1, 5, 4, 7}, number of subsets of S is 32Q, then find the value of Q.

A: S is a set with cardinality 5 and given he number of subsets of S is 32Q, then we have to find the…

Q: Find ({1, 2, 3} N {2, 3, 4, 5}) U {6, 7}. O {1, 2, 3, 4, 5, 6, 7} O {1, 2, 3, 6, 7} O {2, 3, 4, 5,…

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Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: Given A=[1,2,3,4,5,6,7,8,9,10], B=[1,3,5,7,9]. Find A∩B.

A: The objective of the question is determine          " A∩B".

Q: Let U={1,2,3,4,5,6,7,8,9,10}. Let A={1,3,6,8,10}. Let B={2,3,5,7,8}. Determine (A−B)′

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Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

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Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: 1 Let C = [c1, c2, c3] = -1 2 3 -1

A: Steps to find the projection of c1 : Find the orthonormal basis e1 of c2 and e1, e2 of {c2, c3}.…

Q: Plot the scatter plot defined by the points on the left. Then match it to the correct correlation…

A: 2,8,4,7,5,6,6,5,8,4 r=-0.83 1,1,3,3,5,5,7,7,9,9 r=-0.04 2,8,4,8,5,4,6,6,8,3 r=0.47…

Q: d = (a, b, c).

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Q: Let A = {1, 2, 3, 4, 5, 6} and B = {a, b, c}. Find: a. Card(A x B) b. Card(A x A) c. Card(AB) d.…

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Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: Find the sets A and B if A − B = {1, 4, 7, 11}, B − A ={2, 20}, and A ∩ B = {3, 5 ,19}

A: Set Question

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: A=[1 2 3 5, 9 13 26 15, 4 -1 0 3, 6 9 11 7] compute A-1

A: Given matrix is  A = 123591326154-10369117 find A-1

Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: 2. Let, A = { 1,2,3,4 }, B = { a,b,c,d }, C = { x,y,z }, R= { (1,a),(2,d),(3,d),(3,b),(3,d) },S = {…

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Q: The Human Resources office in a company observes the pattern of absences of employees by days of the…

A: Given: The company has 100 employees and over 10 weeks (5000 employee appearances) they notice that…

Q: Find u and if u-27= (1,3,3) and 37+7=(3, 2, 16).

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Q: U = {1, 2, 3, 4, 5, 6, 7, 8} A = {2, 4, 6} B = {1, 2, 5, 6} C = {2, 3, 4, 5, 8} Find the…

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Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find A n C. ||

A: Given, A = {0,2,4,6} B = {1,2,3,4,5} C = {1,3,5,7}

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

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Q: Evaluate for x = 1, 3, 5, 7 Σ 2 χ3

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Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

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Q: с. In(х + 2) +Inx —D In(x + 12)

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Q: Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2,…

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Q: Let S = {a, b, c, d, e, f} with P(b) = 0.13, P(c) = 0.19, P(d) = 0.3, P(e) = 0.12, and P(f) = 0.15.…

A: P(a) = 1 - {P(b)+P(c)+P(d)+P(e)+P(f)} = 1 - (0.13+0.19+0.3+0.12+0.15) = 1 - 0.89 = 0.11 So, P(a) =…