B. {[J → (K → L)] ^ [K → (¬L → M)]^ [(L V M) → N]} → (J → N) Answers: J = K = L = M = N =

Q: (1) F = B.C+A.C.D+A.C+E.B+E.(A+C).(A+D)

A:

Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: In general, b O True O False m n = m n b

A:

Q: 1+ 8(t-2) = Select one: O uz(t) o 5(t - 2) O 1 2u2(t) none

A:

Q: • G= *-3 ) • G = , det (G) = 10 %3D 4] Then x=12 O A) TRUE O B) FALSE

A:

Q: L-1{1} = Select one: O a. d(t) O b. Zero O c.u(t) O d. 1 ||

A:

Q: Let h is the difference between two successive arguments then E2 is identify as

A:

Q: Given Q(x, y) means "x and y are real numbers such that x + 2y = 5", evaluate Vx3y Q(x, y) O True O…

A: Given that, Q(x, y) means "x and y are real numbers such that x+2y=5",

Q: The evaluation of SiS 3y e*ydxdy is

A: The solution is given as

Q: [T 2] 13) Did you know that the word "facetious" is the only word in the English language with all 5…

A: word= "facetious"

Q: Evaluate the following expressions given x = 3 and y = 6 : 28х — 6у а. 0.00 8 b. x3 + 6x + 19 = 0.00…

A: To evaluate the below expression at x = 3 and y = 6. 28x−6y8 x3+6x+19 6x3×5y8y −5x2+12x+15y

Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

A:

Q: d ха H at saxa dxJo *²² +4

A:

Q: b) -5 Y 5 4 3 2 + -4 -3 -2 -1 -] -5+ 2 3 4 5 व

A: A graph of the function is given.We have to find the equation of the graph.

Q: Simplify the following expressions using Boolean theorems: F = B.C+A.C.D+ĀC+E.B+E.(A+C).Ã+D) (1)

A:

Q: Coloca la expresión despejada en términos de x. y = -2x + 5 → 6 y = 2 x – 4 | y = 2x(1 – x) → 7 ||

A: Solution: The objective is to write the given equations interms of x

Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

Q: (p v q) → r = O (p v r)^(¬q v r) O (-p v r)v(q v r) O (-p v r)v(¬q v r) O (-p v r)^(¬q v r)

A: We will find out the required value.

Q: Find the dual of the Boolean expression I +1.0+ Fyz O z. (z+1). (7+ y+z) O T. (7 +0). (7 + y+z) O z.…

A:

Q: Consider o = (12)(45), then o =4. Select one: O True OFalse

A: The given cycle is: δ=1 24 5 The cycle δ is the product of two disjoint cycles.

Q: (a) Vx(x² > 4 →x>-2). (b) Vx3y (2x + y² = 0). (c) Vxy(x² + y = 25). (d) 3xy(x² + y² = -1).

A: a False b False c True d False

Q: if it was A j +2k and B= so 4R + 20 -太2 21 +9d+ 221 6- + 9 j -k 6. 9 not of the above

A:

Q: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…

A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

A:

Q: |1 a a2 1 b b2 11 с с2 Show that: (ь — а)(с — а)(с — b).

A: The prove is done.

Q: 2. If p = 41+2j – k, q = 6i+ 6j– 2k and 7 = -3i – 4j– 3k, evaluate a) q• (p- 2r) b) (r +g• p) c)…

A: Here we use formula of dot product of two vector, and addition, subtraction, multiplication of…

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

A:

Q: Suppose that Pr[A|B] = 4/5, Pr[B|A] = 8/21, and Pr[A Compliment] = 2/5. Find Pr[A ∩ B Compliment].

A: Given, PrA|B=45PrB|A=821PrA'=25

Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

A:

Q: Let det(A) = 5 and det(A + B) = 20. We conclude that det(/+A¬}B) = 15 O True False

A: Given det(A) = 5  det(A+B) = 20  Now by multiplying det(A-1) on both sides  (det(A-1)) (det(A+B)) =…

Q: 26. Create truth table for: (-p V -q) A (q→r V -p) ^ (-p V r)

A: Let,       T represents true       F represents false.