3. Given BF is F(x,y,z) = x ỹ z +ã y z + š ỹ ž+xỹž. Simplify the BF by k-map (i) (ii) Draw a circuit(using inverter, OR, AND gates) and make a truth table of simplified form of BF.

Q: 12) L. 92° 66°

A: Arc angle is twice of intercepted angle.

Q: Let P(x) be the statement "x^2−x−20⩽0". a. If the domain consists of −4,0,1 and 2, then "∀x,P(x)"…

A: Given: Here is the given statements, 1. Px=x2−x−20≤0 To find: Is it true or false that "∀x,P(x)" is…

Q: Q3. Prove by using logical equivalence method: (pr) V (q+r) = (p Aq) → r

A: Two propositions are referred to as logically equivalent if their truth value is always same. When…

Q: tind out Put ot the system if - 2< t <o X(4) = o<もく2 4(4) - u(t-1) %3D o ther wise X(+) hu)

A: Find the evaluation for the function h∘Xt for the different intervals.

Q: Show that (p+ 9) A-g = -(p V q) Clearly indicate which rule was applied at each step.

A: we have to solve given problem:

Q: In (IR, 7sorg), if A = T. sorg :n EN and B = (2, 3) then AUB=

A: A closure is the smallest closed set containing A.

Q: Create the logic circuit diagram for F= XY’ + XZ

A: Given problem Given that   F= XY’ + XZ

Q: 13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical…

A: Critical points are points where the derivative of the function is 0 or undefined. To find the…

Q: Let X = (1, 2, 3, 4, 5, 6) and let T1= (X, 4, {3}, (1,2,3), (2,3,4), {2}} and T2 = {X, 4, (2),…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5. Prove that the following equivalences are tautology. Show your work in detail. For each step, you…

A: The equivalence relation is : The main aim is to prove that the equivalences are tautology.Tautology…

Q: Suppose X~ Unif (a, b). Show Vark) = (b-a) ² 12

A: Solution-: Given: X→U(a,b) We want to show Var(X)=(b-a)212

Q: Compute the orders of: U(5), U(7), U(35)

A: Note that, U(n) represents a group consisting of non-negative integers which are less than n and are…

Q: II. Identify the main operators in the following statements. 1. (U• -P) > (Q v L) 2. -K = (L v -M)…

A:

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

A:

Q: [-1 2 Q5/ Let A = |-2 5 -3] 3 4 ,then the C33 is 0 1 -1 -10 -2

A:

Q: To show B(m,n)=+x²² -dx (1+x)"¹"

A:

Q: "Prove that the value of x for the 2 × 2 contingency table a b is given by N(ad-bc)?…

A:

Q: What is the output of the combinatorial circuit shown below? P 9 r pe (q^¬r) Opv (-q^r) O¬(p→ (q+r))…

A: Given is a combinatorial circuit.   To Find: The output of the given circuit.

Q: 2 -1 6 -3 4 2 -8 -8 -9 9 14 a. Find the solution to this system using LU decomposition.

A: Consider the given system.

Q: Show that if C and C'are two linear codes equivalent, then the duals Cand C are equivalent.

A: Here we have given that C and C' are two linear codes equivalent. We need to show that the duals C'⊥…

Q: select the description that characterizes the Boolean expression

A: A boolean expression is CNF (Conjunctive normal form) if it is a product of sums. And, a boolean…

Q: Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all…

A: Given Expression ∃x∃y∀z((x=y)∧(C(x,z)↔C(y,z)))

Q: y QI:: Let X₁, X₂ ~ N(0,1) 1) X1-X₂ X₁ + X2 2) (x1+x²)2 X₁-X2 what dist of 2X² 3) x² + x²

A:

Q: (7) For any nonzero a, b € Z, the gcd(a, b) divides the lem(a, b). (8) If r, y € Z and 3 divides ry,…

A:

Q: dw a) Draw a dependence tree for this situation, and find an expression for dr b) Use your…

A:

Q: Assume that M = N₁(h) + a₁h² + a₂hª + azh6 + ... Then using Richardson extrapolation N4 (h) is of…

A: Use Richardson's extrapolation formula for even power series, to obtain the solution.…

Q: 10. Let ā = (1,2) and b= (2,1). Find projz(ā). Then show that ā– projz(ā) is orthogonal to b…

A:

Q: Find the Linearspline inter polating C-190) (og-1) (3 l

A:

Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

A:

Q: Let X = {1, 2, 3, 4, 5} and Y = {7, 11, 13} %D are two sets. find R = {(x, y): x EX and * y EY and…

A:

Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3<…

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: ((²8 v ¹8) d) ((d) v (¹0d)) (Ⓡ)

A: As per our company's guidelines we are supposed to answer only first question. Kindly repost other…

Q: 41. Translate these specifications into English, where F(p) is "Printer p is out of service," B(p)…

A:

Q: Suppose (x1,x2) + (Y1,Y2) is defined to be (x1 + Y2 ,x2 + Y1). With the usual multiplication cx = (…

A: It is given that the addition is defined as x1, x2+y1, y2=x1+y2, x2+y1 and the multiplication is…

Q: Let u 7 and w compute -5 u + 9 v -4 w. %3D -5 u + 9 v -4 w Ouestion Help: M Message instructor O…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.