Let A = {c, d, f, g} B = {f, j} C= { d, g} True or False: C C A? True False

Q: D2) Let A= Fid ABud BA al B.

A:

Q: Given B={c, o, d} C={c, d, o} Which of the following is FALSE? OBCC OCCB OC B B = C

A: Solution:-

Q: Let X={a,b,c} and Y=∅. What is X∪Y?

A:

Q: 2. Let A, B, and C be as in Exercise 1, let D = {3,2}, and let E: Determine which of the following…

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

Q: [L,,2] - [D,C]

A: Since all are  represent  unit vector .

Q: 8. Let A = {Al, Beth}and B = {up, down, left, right}. Fine %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: If v = w, then ||v|| = ||w||- O True O False

A: If v=w, then v=w.

Q: Let c d -4, then d c

A: Topic = Determinants

Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

A: Solution...

Q: Let A, BC X. Is Bd(A) C Bd(B)?

A: We want to check for A, B ⊂ X Is Bd(A) ⊂ Bd(B) true or false.

Q: 1. which is notareal A? mLZ =23deg, y-30,x-19 mZZ= 23deg,g-30, x-20 mLZ= 23deg,y=33, x= 20 m/Z= 23…

A: In this question we have to find Angle z and Side b and c. NOTE: As per our policy we are suppose to…

Q: 8. Show that if a, b, c, d ∈ R, a^2 + b^2 = 1 and c^2 + d^2 = 1, then ac + bd ≤ 1.

A: Consider the given information. a2+b2=1 and c2+d2=1 As, the square of two number is always positive…

Q: Assume that u v = 6, ||u|| = 3, and ||v|| = 2. What is the value of 6u· (4u – 4v)? -

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Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Re(z,€,) = Re(*,)R (z,) O True O False

A:

Q: If u = (3,0), v = (1,2), and w = (1, –1), find a and b such that u= av + bw b = (enter numerical…

A:

Q: O Determine rand s so that, 3.

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Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: 2. Prove the following statement directly. V a, b, c e Z, if a | b and a c, then a | (7b + 4c)

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Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

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Q: Is the statement true or false? (Va, b, c E Z, (ab | c) (a | c) ^ (b | c)) → (Va, b, c E Z, (a | bc)…

A: False

Q: let d= gedlab) then prone d C and C=ab

A:

Q: If P(A/B) = 0, then A &B are: Select one: a. Mutually exclusive b. ACB с. ВС А d. Independent

A: There are two events A and B such that PA|B=0 PA|B=PA∩BPB=0 Therefore it follows that PA∩B=0

Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: (2n)! Let a, = then 'n n!n* 1 а) а, > e 2 b) а, > e 4 с) а, > c) an e d) а, > о

A: To find -  Let an = 2n!n! nn1n, then ?

Q: 43 If uzzt+y+z , u?v =y+z,u³w=z, Show that a (x,4,z)

A: Q3. Here, u=x+y+zand,u2v=y+z⇒v=y+zu2=y+z(x+y+z)2and,u3w=z⇒w=zu3=z(x+y+z)3

Q: Given u = (5,0, 0) and v = (5, 5, 0), which of the following represents u x v?

A:

Q: Let a, b, c € Z. If c divides a+b, then e divides both a and b.

A:

Q: (d) How many subsets V of A are there so that 1 € V or VOB= Ø? Explain.

A: This question related to set theory . Solution is given below.

Q: b) Solue Subject to :o(0, t) = 1 -e oCa, t) =0,t>o.

A:

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: Which of the following is equal to C(200, 50) C(150, 50) О С(200,100) O C(200, 150) O C(150,100)

A: The formula for C(n,r) is evaluated as C(n,r) =n!n-r!·r! C200,50 = 200!200-50!·50! = 200!150!·50!

Q: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: 2. Let A, B, and C be as in Exercise 1, let D = {3,2}, and let E = {2,3, 2}. Determine which of the…

A: See solution below. Properties of sets have been used.

Q: 3. Let A = {x,y, {x, y}}. a. Is {x, y} CA ? b. Is {x, y} € A ? Is {y} C A ? C. d. Is {y} € A ?

A: By Bartleby policy I have to solve only first one. Post separately remaining questions.

Q: Let a, b,c € R4. Prove that c+a a+b b+c c+b a +c b+a Al

A: a,b,c∈ℝ+ab+bc+ca≥c+ac+b+a+ba+c+b+cb+a

Q: - If p(A) = 0, p(B) = and p(A and B) = 19 100, are A and B independent?

A:

Q: Given that p(A)=.87, p(B)=.71, and p(A| B) =.87, are A and B (a) independent? (b) exclusive?

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Q: Le Let n=Layb,e, E, h, IJr B=(a,C,e,g)and b) BnC gAnc d AnBnc le)auB. Buc 9 AUC B.

A:

Q: Prove/Disprove: (¬A → ¬B) ® (¬C ^ A) = ¬(A v ¬B) → ¬(B –→ C)

A: Any two propositions are said to be equivalent if the truth value in each row of the truth table is…

Q: 5. Are the following implications correct? (A = B) = (A VC= B v C) (A = B ^ C) = (A = C) (A + B) =…

A: HERE , WE CAN USE TRUTH TABLE TO POROVE THE GIVEN IMPLICATION

Q: 3. Prove or disprove: If a | (b + c), then either a |b or a | c. h of the follo

A: Since you have asked for question number 3 , we have solved it for you.

Q: Write a proof for: "If a = b and c = a -c = b - d" d, then

A: Consider the given equations, a=b and c=d now, by the subtraction law of Equality, a-c=b-c

Q: fA is smilar bo A" then all e isenualues oPA mush

A:

Q: Prove rem (a+b,c) = [rem(a,c) + rem(b,c)] , c

A: Note: rema,b=the remainder when a is divided by b. Then, by the quotient remainder theorem, there…

Q: Prove ¬¬A := ¬(¬A) = A ¬(A ^ B) = (¬A) V (¬B) ¬(AV B) = (-A) ^ (¬B)

A: As per the policy of bartleby the provisions is to solve only 3 subparts of questions questions

Q: Let A = {James, Dave, Cliff, Lars} and B {James, Kirk, Jason, Lars}. What is %3D n(P(A n B))

A: