If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {2, 3, 4, 5}, and D = {1, 6, 7}, (a) A ∪ C = (b) C' = (c) (C'∩ D) ∪ B = (d) (S ∩ C)' = (e) A ∩ C ∩ D' =

Q: Suppose u =(4,-5, 3). Then (-1,1,5) makes ? (4, 5, -4) makes ? (3, -3,5) makes ? (-6,0, 8) makes?…

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Q: Let A={1,2,3,4,5,6), B=(2,3),C={4,6} Answer Choices: a) C\(AB)=(C\A)~(C\B) C\(AUB)=(C\A)(C\B)…

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Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e³x/2 - 4x sin…

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: 11) y=7x-21 y = 8x - 24 A) (-5, 0) B) (0, –5) C) (5, 0) D) (3, 0)

A: Consider the system  y=7x-21                            ..............(1)  y=8x-24…

Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

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Q: 2. 6,44_12-3y- 3z

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Q: 7. Show that

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Q: 2.1y*. 4x'y* . 3x 3xy 5) 2y'. 3xy -32 6) 7) 4x 3.x*y 8) 2.x.4yx 9) (2:)? 10) (2m *)

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4. (A' U B)' n C A B

A: The objective is to draw the Venn Diagram for A'∪B'∩C Venn Diagram for A' is,

Q: 3. If A = {1, 2} and B = {x, y}, then AXB = O {1,x), (1,y), (2,x), (2,y)} O {1,x), (2.y)} none of…

A: We have to solve given problem:

Q: . What number will you pick and why?

A: Here given you and your friend both putted in different room   .where you are individually asked to…

Q: If A={2,3,5,7}, B={2,4,6,8,10}, and C={1,2,3,4,5}, then what is (A∪C)∩(B∩C)?

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Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

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Q: A = {5, 10, 14, -3, 11, a, b, y, z} B = {1, 3, 5, 7, 9, 11, u, v, w, x, y, z}…

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Q: If det(A) = 1, det(B) = 2 and det(C) = 5 then det (C²B¯'A-!B") =

A: Given that detA=1,detB=2 and detC=5 We have to evaluate detC2B−1A−1BT Use the following property…

Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

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Q: Given i [2, – 5Jand i = [-7,2] find %3D b. ủ •

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Q: -4-5-10-7 LE]=-4-1-6 -9 [FI=10 3 45 9 le 7 81 M 6-3 2l IEI %3D -51-7-10 니LEJ+aLF. %3D

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Q: 4. Consider A={m,a,t,h}; C={x:x=3n,1šns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n 56,nEN} What is CUD? *

A: Here given that                         A={m, a, t, h}                         C={x:x=3n, 1≤n≤4,…

Q: If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 },C = { 2, 4, 6, 8, 10, 12, 14, 16 }, D =…

A: Since you have asked multiple sub parts in a single request, we will be answering only the first…

Q: * Q1 X1 x27 -图 If 3 2 4 X1 +x2 %3D 4x4. [x3 3 +x4 1. x1 = -2, x2 = 2, x3 = -2, x4 -3. 2. x1 = 2, x2…

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Q: 12) A(2, 1), B(-1,0), C(5, -3), DI-2, -1) ➜ -AR-3CD = 2

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Q: 4 If y then = 2_ and y

A: We have 4y=79 Taking cross multiplication 7×y=4×9 Divide both side by 7, we get y=4×97y=367

Q: What is (4, 11) n (8, 12]? What is (4, 11) U (8, 12]?

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Q: Find A-1 where AB=C and C2 C3 b, b, bz C1 B= b, b, b, & C= C1 C2 C3) а, а, аз

A: Given matrix is B=a1a2a3b1b2b3c1c2c3 and C=c1c2c3b1b2b3a1a2a3. We have to find the A-1 where AB=C.…

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: (()* 2 2) y = 5. 20 18 16 14 12 10 y

A: We need to draw the curve.

Q: 19) If A = {p, m} and B= {3, 6, 4} %3D Find B XA (Use proper notation)

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Q: Club A has 20 computer science majors and Club B has 17 engineering majors. For questions a) and b)…

A: Given- Club A has 20 computer science majors and Club B has 17 engineering majors. To find-  Club A…

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: 2. mzR+ mS+ mzT= 105° +x= +x = 42 X =

A: We have the given figure as

Q: wla) = a + 3; Find w(a + 4) %3D

A: