B. Simplify the following compound statements using the laws of equivalence Statements Reason: (bAd) (bA d) (bad), [(b) (d_)] = c [(p v q)^(pv)1 [p v ) )) (b.A d.), (b. A d), (bad) (ba d) q d. [(p^ p) v q] (p^ p) v e (Fv q)^(Fvq) f.q^a & F

Q: 7. (13x - 21) (5x + 75) m

A: 7. Given figure is: To find the value of x.

Q: Choose the statement that is not true. Assume b ≠ 0, c ≠ 0, and d ≠ 0 as necessary.(a) ac/bc = a/b…

A: a) acbc = ab Taking the L.H.S of the above equation acbc Cancel the common terms, we get ⇒acbc ⇒ab…

Q: Evaluate the commutators of the operators (a) d/dx and 1/x, (b)d/dx and x2.

A: Given:  a)  ddx and 1x b) ddxand x2 To Find: Commutator of the operators

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: Hello! Thank you for the question but as per our honor code we'll able to solve only three sub -…

Q: Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

A: There are three events. These are E, F, G. The objective is to show that,

Q: What's the result of translating the point (9, -5) using the rule (x, y) → (x + 7, y - 2)? O A) (2,…

A:

Q: 6.- Evaluate T(au + bữ), considering the following 1 T(ī) = 2, T(5) = , T(ī) 2, a = -1 and b = 2 3…

A: T(au+bv)=T(au)+T(bv)

Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: 8. flx) =3=x*, glx)=x² 4 d) Domain A domain Domain

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Q: 5. Evaluate f(x) = 3x²-3x + 1 for f(-1). a) 13 b) 7 c) 0 d) 4

A:

Q: What’s (E∩F)×(F∪G)

A: We are given that E = {1, 2}, F = {2, 3} and G = {3, 4}.Now, E∩F = {2} and F∪G = {2, 3, 4}.

Q: Determine whether or not the following pairs of statements are logically equivalent: (Be sure to…

A:

Q: Provide an interpretation which is true and one that is false. (∃ x)(P(x,b))

A:

Q: If f(x-2) =-2x + 5, what is f(-3) equal to? A) 7 В) 11 C) -1 D) not exist

A: Convert the function in single variable x only.

Q: Show validity: Vxр (х, f (x)). Vx3yp(x, y)

A: Please check the answer in next step