Let A- (1,2 ,3}. Give P(A)

Q: Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find a) AUB. b) ANB. d) В — А. с) А — В.

A: A∪B is the collection of elements of both A and BThus, A∪B={1,2,3,4,5,0,6}

Q: construct 2 graph: such that k(G) = k'(G) = 8(G).

A: κ ( G ) means vertex connectivity of a graph. This is defined as minimum number of vertices required…

Q: Let A,B andc. Show À U(Bnc) = c CUB )n Ã

A: Answer to the above question is in step2.

Q: Find the symmetric closure of R.

A: Given To know symmetric closure of R.

Q: Let U = {x e N:1<x< 12} A = {3, 7, 9, 10} B = {2, 3, 7, 8, 11} C= {4, 5, 6, 7, 10} %3D Find

A:

Q: Prove that A → B E (Vx)A → (Vy)B, if y is not free in B.

A:

Q: Let A, B be any two sets. Prove that if A S B, then A n B = p.

A:

Q: Find the sets A and B if A - B = {1, 5, 7, 8}, B - A = {2, 10}, and A NB= {3, 6, 9}.

A: let us see the answer:-

Q: Let U = {x e N:1<x<12} A = {3, 7, 9, 10} B = {2, 3, 7, 8, 11} C = {4, 5, 6, 7, 10} Find a) (An B) UC…

A: Given U={X∈N: 1&lt;=x&lt;12}           A= {3,7,9,10}           B={2,3,7,8,11}…

Q: / implify using K- map for the Y(A,B,C,D)= E(6,14,4,12,9,11,1,3)

A: K-map is also called karnaugh-map and it is a process of solving the boolean expression in tabular…

Q: Reduce the following functions using Karnaugh Map method. F(A, B, C, D) = n (4, 5, 6, 7, 8, 12, 13).…

A: The Answer is

Q: Let U = {1,2, 3, 4, ..., 10}, A = {2,4, 6}, B = {6,7,9}, and C = {6,9} %3D %3| a. Let X = (B - A) U…

A:

Q: Given that h(p)=p2−3p+5, Find;h(x-3)

A: Given: h(p)=p2 + 3p + 5 then, by putting p=x-3 h(x-3) = (x-3)2 + 3(x-3) + 5           = x2 + 32…

Q: Minimize the function using Karnaugh map method. F(A, B, C, D) = E(1, 2, 3, 8, 9, 10, 11, 14) +…

A: The Answer is in Below Steps:-

Q: E. - Consider finding the root of f(x) = e(3.2 sin(x) 0.5 cos(x)) on the interval [3, 4], this time…

A: The solution to the given question is: Bisection method applied to given f(x) a b f(a) f(b) c =…

Q: lim メーやO Find this limit メ+H -2

A:

Q: log 2 (x +3) x2 +3x + 2 Find the domain of definition of f (x)=

A: Solution :-_

Q: Show by membership that for all sets A, B and C: A – (AnB) CA – B

A: We've done so. A−(A∩B) =A∩(A∩B)c [ Because we have XY=XYc for any two non-empty sets X and Y, where…

Q: Let U = {2,3,4}. Find the power set P(U).

A: Let U = {2,3,4}. Find the power set P(U).

Q: Question 1: Let U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 6, 8, 10}, and B = {1, 3, 5, 7,…

A: Here in this question we have given three set and U ={1 ,2 ,3, 4, 5, 6, 7, 8, 9, 10} A={1, 2 ,3, 4,…

Q: 4- if q=[1 5 6 8 3 2 459 10 11,x=[ 357 8 31 2 4 11 5 91, then: a) find elements of (q) that are…

A: Please find the answer below

Q: Let U={1,2,3,4,5,6,7,8,9}, A={2,4,6,8}, then

A: I Have answered this question in step 2.

Q: Show by membership that for all sets A, B and C: A - (AnB) CA-B

A: We are given a relation in sets and we have to prove whether given relation is true or not. We will…

Q: For the two chains of number sets given here, derive a rule for moving along an arrow, and a rule…

A: Given two chains are, {57,36}→{21,36}→{21,15}→{6,15}→{6,9}→{6,3}→{3,3}={3} stop…

Q: Show by membership that for all sets A, B and C: А - (AnB) CA - В

A: Given: We have to show that for all sets A , B and C:  A - (A ∩ B) ⊆ A - B

Q: If A ⊆ B, and A=B, then we say A is a ________of B.

A: Given: If A ⊆ B, and A=B, then we say A is a ________of B.

Q: 3. Let A = {1, 2, 3} and B = {4,5}. %3D a) Find A x B b) Find B x A

A: A = {1, 2, 3} B = {4, 5} A*B = {1, 2, 3} * {4, 5} A*B = {(1, 4),  (1,5), (2, 4), (2,5), (3, 4),(3,…

Q: c,d 00 01 11 10 a,b 00 1 1 1 01 11 10 1 1 1

A: Layout : Groups : d` = (0,2,4,6,8,10,12,14) b`.c` = (0,1,8,9) Expression : F= d` + b`.c`

Q: Let G = ({S, C}. (a, b), P, S), where P consists of SaCa, CaCab. Find L(G).

A: solution for L(G):

Q: Let f(x) = [x²/3]. Find f(S) if а) S3D {-2, — 1, 0, 1, 2, 3}.

A: The given set is S = [-2, -2, 0, 1, 2, 3] And the function if f(x) = x2/3 so calculating the values…

Q: -Example:H.W Let G,S are two finite group and G S IN show that G nilpotent 24 iff S nilpotent

A: SolutionLet  G  be a nilpotent  group since G≈S∴∃ is mapping ϕ:  G→S…

Q: Is A a subset of B if; A = { 9, 8, 7, 6, 5}   B ={ 5,6, 7, 8, 9}

A: Overview : A collection of elements is known as a subset if all the elements of the set are…

Q: Draw a Karnaugh map for the following function; X= [m(0, 2, 3, 6, 7, 8, 10, 11, 14, 15) Then…

A:

Q: Construct R.e from given OFA

A: Given Data:- To  Construct RE from given DFA

Q: Let A %3D (с, n, b), В%3 (х, у) and C %3 (0, 1). Find a) AXBXC b) СХВХА с) ВХСХ

A: The cartesian product of 3 sets produces another set such that, the new set has tuples of 3 elements…

Q: Determine whether f : Z × Z → Z is onto for the following cases if a) f (m, n) = |m| + |n|

A: Given  f(m,n)=|m|+|n| Onto function Consider a function f such that f from set A to  setB consist of…

Q: Use the pumping lemma to show that the following set is NOT regular: {ww | w =&gt; {a,b}*}

A: Pumping Lemma:We can prove this by using pumping lemma which states that L is a regular language if…

Q: Let S= { 6, a, {a}}. Determine whether each of these is an element of S, subset of S, neither, or…

A: Given set S={ϕ, a, {a}}   The subsets are constructed by considering or leaving an element in set…

Q: Prove the following problem is NPC: Given n sets S1,...,Sn, can we find a set A with size at most k,…

A: Before entering into problem we have to understand the following : Hitting set : Let C be a…

Q: Q2) Simplify the following function for F using a K-map. F(A,B,C,D) = E m(0, 2, 8, 10, 12, 14)

A: solution of the given function is-

Q: Consider the following E-NFA. (a) Compute E-closure of each state (b ) Convert the automaton to DFA…

A: Given ∈ - NFA:   ∈ a b c p θ {p} {q} {r} q {p} {q} {r} θ *r {q} {r} θ {p}

Q: 1- Show that Ramp(t) u(t) dt = t * u(t)

A:

Q: 2. Let C Ç RE be such that Ø E C. Prove that Lc = {{M): M is a TM and L(M) e C} ¢ RE.

A: According to the question ,  we have given that Regular expression belongs to C and we have to prove…

Q: Let P = NP. Let A C {0,1}* such that A ± ¢ and A + {0,1}*. Prove that A is NP-hard.

A:

Q: Show using induction that for every x € {a, b}* such that x begins with a and ends with b, x…

A: As per our guidelines we are supposed to answer  only one question. Kindly repost other questions as…

Fundamentals of Input and Output Performance

The I/O subsystem is a component of computer system design that uses buses to assist communication between the Central Processing Unit, Computer Memory/Storage, and Input and Output Devices (that is known as peripheral devices). The I/O subsystem includes disc controllers, tape drives, discs, system buses, and other devices. The I/O database application reads and writes drives using the operating system windows I/O.