10. De Morgan's law states that for any sets A and B a. (AU B)' = A'n B' c. (AUB)' = A' U B' b. (An B)' = A'N B' d. (A n B) = A' U B' %3! %3D

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: QUESTION 6 Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False. QUESTION 7

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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 Ax) = , find f"(-1). c. 0 d. -1 a. e b. 2e

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Q: fu)-c[xt]?, Ix+1] A =0,1,2.3, then C=

A: We know that the total probability is always 1.  ∑x=03f(x)=1

Q: Let a,b,c eZ. If a|b and a |c then a' |(b² =c² ). nsi2

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Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: : Jhat is he nodies onuegence

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Q: 3. (Va² +1)* dz. Evaluate

A: Write radical in the form of fractions.

Q: Find.: if dy æ*y+æz – yz² = 7. - -2y: 2yz-z C. E. None of the others. /Geen van die ander nie. 비 비…

A: Given; x4y+xz-yz2=7

Q: 3. Evaluate tan().

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Q: 4. (4 – e 3*)³dx

A: Here we use the formula  ∫eaxdx=eaxa+C (a-b)3=a3-b3-3a2b+3ab2

Q: If w(f.9) = , then w(s.S+9) = (A) (B) - (C) 22 (D) -22 (E) None

A: Ans:- If w(f,g)=x2, then we have to find the value of w(f,f+g).

Q: 14) kla) = -4* * 2; Find k(a – 2)

A: Given,k(a)=-43a+2Replace a by (a-2)k(a-2)=-43(a-2)+2k(a-2)=-43a-6+2k(a-2)=-43a-4

Q: 2.6.49 9- Use - o or 0o where appropriate = JO au pue ane uouny upeo pug (B)-20) (X u O) JAIR-10)

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Q: Which of the following statements are correct if y, = 2x, Vi = 1,2,.,n? A. -2x В. у - 4х C. s -2s…

A: 8. Given statement yi=2xi Consider, E(Y)=E(2x)        =2E(X)     y¯=2x¯ V(Y)=V(2x)        =4V(X)…

Q: Q3// Let x be a r.v having p.m.f X -2 -1 5 P(X) 20 3C 20 C 4C 1) Find the value of C? 2) Find C. d.…

A: The pmf is given as X -2 -1 0 2 3 5 P(X) C 2C 3C 2C C 4C 1. It is known fact that,  ∑ P(X)…

Q: 6. Let A and B be sets. Find the most general condition under which (1) AnB%3DВ. (2) AUB = A. (3)…

A: It is given that A and B are two sets.  The most general condition for the given conditions can be…

Q: If A+B=X and A-B=Y then...?

A: System of linear equations,

Q: A. Let U= { 1, 2. 3, 4. S. 6. 7, 8,9, 10, A-{3,5, 8, 113 B= {2,5.6. 7, 8} C = {3,4, G6,7, B,10 ,n} D…

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Q: De Morgan's law states that for any sets A and B a. (A U B)' = A' n B' c. (A U B)' = A' UB' b. (An…

A: We want to state Demorgan's Law

Q: 6. In each part find B - C, Bn C, and BU C: (a) B = Z, C = Q. (b) B = R, C = Q. %3D (c) B = {a, b,…

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Q: 2. If I'faclde- and S'fordx.

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Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: traluate O T* 2T

A: To evaluate: L∫0tπ4e2πdπ Here, π is a variable. Formulas used: ddxxn=nxn-1∫exdx=exIntegration by…

Q: 17. a, = 9, a, =17; S, =9, az 18. a, = 32, a, = 48; S, %3D 19. 4, =-8, a, , = 7; %3D 20. a, =6, a, =…

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Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: If ro)-3"6 then f'(1)= O a. 18In(6)+ 12 O b. 18ln(6)+12in(3) Oc 18ln(6)+24ln(3). Od. 18ln(6)+24 Oe…

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Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: 1. Find the GLB of the set: {x:|x - 4| < 1}. -1 b. 1 -3 d. 3 e. 0 а. с.

A: We need to solve the given inequality to find GLB

Q: 14 Které číslo se ukrývá v obálce? a) M. (5 + 1) = 36 %3D b) 8. (5 + = 56 c) 4. X+7) = 40 %3D d) 7.…

A: a)    __·5+1=36__·5+1=36__·6=36__=366__=6∴ 6·5+1=36

Q: If the sets A, are independent and P(U, A,)=1 then P[A i.o.] = 1. %3D

A: Let {An}n=1∞ be an infinite event satisfying P(An)&lt;1 for all n, then  P∪n=1∞An = 1 if and only if…

Q: H012.3.4,53 Find sets CandD such that A= CBUC)\ D.

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Q: 1Uedxix EN, n<15},A = Sreix is even'} Bz{M:n is the multipk of 37 , then a AOB Chow the reladion of…

A: Given: Universal set U=x:x∈ℕ, x&lt;15 and subset A=x:x is even, B=x: x is a multiple of 3.

Q: (3) (i) Determine the number of positive solutions of the equation x1+x2+x3+X4 = 14, where each x;…

A: Thank you for your question!! But according to the guidelines I will be answering one question only.…

Q: 2. Find the midpoint of Segment AB, where Point A is at (-5,1) and Point B is at (15,8). O (5, 3.5)…

A: Mid point of a line segment is a point which is equidistant from the two endpoints of the line…

Q: prove for n=l,2,3. e that +2+3+..+h = ncn+l) 2. %3D %3D

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Q: Find the number of elements in the following sets. 1. A 2. A intersect B intersect C 3. A intersect…

A: To Find the number of elements in the following sets. 1. A 2. A intersect B intersect C 3. A…