Prove that 1 (c) 2F₁ (a, b; c; z)

Q: 4. Find the product AB, where a) A= 0 -1 -1 --1.B= -3 2 - 2 -1 03 -1 -3 -2 0 b) A=1 0 -1 B = 2 4 -1…

A: AB=1010-1-1-11001-11-10-101     =-11001-11-11 (b)AB=1-3012221-11-123-103-1-3-202…

Q: 9. Evaluate W(1 +a, r, r?) (a) -2 (b) -2r (c) 2r (d) 2

A:

Q: 2. (Chapter 2, p.82) In computing Var(yoyo), where yo = Bo Bico and yo = Bo + Bixo + €0, we used…

A: The data given in the problem is as follows:It is required to express  as a linear combination of…

Q: What is C(4.0)-C(4.1)+C(4.2)-C(4.3)+

A: The given expression is C4,0-C4,1+C4,2-C4,3+C4,4 Use the formula for the combination  Cn,r=n!r!n-r!…

Q: Let M(x) = V3x – 6 and N(x) 2 Find the following: 2 - c) (N o M)(5) d) (No M)(홍) e) (No M)()

A:

Q: C. Prove that B,(f)² < Bn(f²). HINT: Expand B,((f – a²).

A: Given: Let's prove the given Bnf2≤Bnf2.

Q: Obtain the KMAP to get minterms and maxterms. (ex. minterms: m0, m1, maxterms: M2, M3)

A:

Q: Assume that P(A₁ N A₂ NA3) > 0. Prove that P(A₁ NA₂ NÃ3 Ñ A4) = P(A1)P(A2|A1₁)P(A3|A1 N A₂)P(A4|A₁…

A: We have conditional probabilitiesP() =       (i)P( =                       (ii)P( =…

Q: Produce by hand a proof of  ((A→B)→C) → (A→(B→C)) How many lines does the most natural box proof…

A: Let us first find the truth table of (A→B)→C and A→(B→C). For (A→B)→C:   A bB cC a \rightarrow…

Q: ○A. T(A) = 3A from R6×4 to R6×4 -9 9 B.T(A) = A [72] [173] 4 5 ASA-¹ from R2×2 to R²×2, where S A…

A:

Q: O show that 2. I| a+ V 1= 11 + 1i if and only if ū. ů =0 %3D

A:

Q: (а b)с + (а - с)b + (с b)a 3 ve that v belongs to B.

A:

Q: Let Z[V2] = { a+bv2 la,b e Z}. Define addition and multiplication on Z[V2] (a + bv 2) + (c + d/2) =…

A:

Q: B. Can the proposition (Vx, y, P (x = y) → (P(x) → P(y))) be proven using the equality axioms?

A: Look at the following equality axiom. ∀x,y, and any function f,x=y⇒fx=fy

Q: Let S1= {1, 5, 10, 15, 20} and let S2 = {1, 2, 3, 4, 5}. What is: (a) S1 ∪ S2 (b) S1 ∩ S2 (c) S1 –…

A: Given: The given sets are S1=1, 5, 10, 15, 20 and S2=1, 2, 3, 4, 5. To find: The main aim is to find…

Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: If I (F14)- s²+1 SO is given by? a) V(s? + 1)³

A:

Q: d14y ise =? (y(14) =?) dæ 14 13 Y =

A: y=x13

Q: Show that (c + V² – x \c – V² - x. + V² – x²) – In = 2 In(c 2 In x

A:

Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

A:

Q: Show that 1 1 1 a² y? 2 = (y? – x²)(z² – a²)(z² – y²) -

A:

Q: Q2/ Prove that : A. (B.C+ BC). (A + B + C) + (B.T + B.C+A.C+A).C+ (A. B.T + Ā.B.C + A) + A = 1

A: In the question it is asked to solve Boolean expression given below.

Q: Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case,…

A:

Q: ● Let A = [0, 1) and B = [1,2] U [1,2], then (2 pts) Find sup (An B), sup (A), and sup B

A: Given that and Now, recall  the fact  the definition of Supremum.Let (1) (2) For any there exists  a…

Q: Find S T(1– a²)+ 5* + 5m(1+ a²)| dæ.

A:

Q: ·/ / √₂ (²2² +2² (x² + y² + z²) dV, where E is the ball x² + y² + z² ≤ 16 Evaluate

A:

Q: (5) {1,2} C P({1, 2}).

A: Given  set is {1,2},  we knew that power set of a given set is set of all subsets of the given set.…

Q: Let a,b E R with a # 0, b # 0. Prove that (ab)¯1 = a°1b´1. %3D

A:

Q: Prove, without using any results from the chapter notes, that for all z = C, z² = 2².

A:

Q: Find P(C/A) and P(C) if p(A1) = 0.6 B1 0.8 0.7 C1 A1 C2 A2 0.7 B2 0.8 %3D [Hint: P(C/A) =…

A: Probability mass function P(X=xi) Simple facts about pmf  ∑(X=xi) =1iP(X=xi ∩ X=xj)=0 if i≠jP(X=xi ∪…

Q: Determine whether (p → r) V (q → r) (p V q) → r

A: Calculation:Use truth table to determine whether the given statement is true of false.Construct the…

Q: Which of the following statements is correct? a) P(X | Y) = P (X) if X and Y are independent.

A: Our aim is to find the correct statement.

Q: IF| = r r) = -i = 5xi + 2yj – 2zk so be it where div() , grad(f find all of

A: Solution: