Show that (p → q) → r and p - ( r) are not equivalent. What can be concluded from this question?

Q: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: Verify that (AB)T = BTAT.

A:

Q: 3. prove that: det (AB) = det (A) det (B) If a - (;). » - ( :) 2 -1 7 A = 3 2 4

A:

Q: Show that =- 5)" /31 + 6. 1 = 2 ) /7! + () /9! – ... %3D | -- IN

A: We know that, from the Taylor's formula for power series expansion of sinx is given as…

Q: Give a natural deduction proof of ¬(A V B) from hypothesis ¬A A¬B.

A: Please find the answer in next step

Q: 4. Use rule of inference to show that if Vx(P9x) → (Q(x) ^ S(x))) and Vx(P(x) ^ R(x)) are true, then…

A: Given: Lets determine∀xPx→Qx∧Sx and ∀xPx∧Rx is true and ∀xRx∧Sx is true using rule of interference.

Q: 2. Is * commutative? If it is commutative, show it. Otherwise, give a counterexample.

A: Given, * a b c d e a a b c d e b b c a e c c c a b b a d b e b e d e d b a d c

Q: Is the equation Ax = b consistent for all b in R^3? Explain.

A:

Q: Prove that in Q(/-5) we have (3,1+ 2v-5)(3, 1 – 2-5) = (3).

A: To show the equality, first we take an element of the product and show that it is in (3) and then we…

Q: prove using the IVT. √c +√c + 2 = 3 has a solution.

A:

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: Prove using the IVT. 2x = bx has a solution if b &gt; 2.

A:

Q: Show that SU2(C) is simply connected and SO3(R) = RP³.

A: Consider SU2C group  SU2=α-β¯βα: α,β∈ℂ,α2+β2=1 To show it is simply connected we will show its…

Q: If ZH and LJ are supplementary in HJKL, are a) ZK and ZL necessarily supplementary also? b) ZH and…

A: Given :∠H and ∠J are supplementary…

Q: α Let V₁ = {(₁)|a € R}. V₁ with standard V4 operations will fail both axiom "close under addition"…

A: Let A be a set and ∘ binary operation on A then 1. We say A is closed under the binary operation ∘…

Q: 2. Show that p q is congruent to (p - 4)A .

A:

Q: z equals 1 If 1, then וא

A:

Q: 1 Show that n2 + 1 IN V

A:

Q: 2 Let A = then det(3AT) - 18 -6 -2 II

A:

Q: Give a natural deduction proof of V x B(x) from hypotheses 1. Vx (A(x) V B(x)) and 2. V y (- A(y))

A:

Q: *prove that for . P+2+3+... +n° = 2 n=!,2,3,

A:

Q: (16) Show that AB=BA for 0 0 0 3 0 0 0 1 A = and B = 0 3 1 2

A: A=-100030001 and B=500030002

Q: 11.32 question attached. Thank you for answering my question!

A: It is given that X and Y are independent normal random variables.The required probability is:

Q: Compute P2.

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost second…

Q: Prove A by Contradiction

A: Solution :-

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Show that 3n2+8nlogn is big-Oh (n²)

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

Q: Prove that if A is similar to B and B is similar to C, then A is similar to C.

A:

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: 2. Verify that det(AB)= det(A)det(B) and determine whether the equality det(A+B) = det(A) + det (B)…

A: Note : As per the authoring guidelines, when multiple questions are posted, then only first question…

Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?

A:

Q: 6. Prove that, if a, b e Z, then 3a? – 4b – 5 0. - -

A: Answer

Q: Suppose X~N(113,18), and Z~N(0,1). Then x = 94, is equivalent to z = ______.

A: Given that, Suppose X~N(113,18), and Z~N(0,1). Here, mean μ=113 and standard deviation σ=18

Q: B increases as µ approaches from µo, when Ho is false True or False

A: Given problem Given that   B ( β )  increases as μ approaches from μ0, when Ho is false . Ans)…

Q: "(2) is also analytic, and hence its

A:

Q: rk together then we will succeed." tatement: Contrapositive:

A: In this question, the concept of Predicate Logic is applied. Predicate Logic The study of Predicate…

Q: In a study of pain relievers, 50 people were given product A, and 33 experienced relief. In the same…

A: According to the given information in this question We need to fill in the blanks

Q: In a study of pain relievers, 25 people were given product A, and 16 experienced relief. In the same…

A: According to the study of pain relievers 25 people were given product A, and 16 were relieved.  So…

Q: D. Let Find 2,-

A: We will find out the required value.

Q: Prove that R (D-1 and R)%=(-)

A: The objective is to prove that  Pn1=1Pn-1=-1n

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: (2). By Contrapositive: “V n e Z, if 3| (n² + 1), then 3 ł (2n² + 1)."

A: Solution:

Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: Prove that if C is equivalent to B and B is equivalent to A, then C is equivalent to A.

A: The relation 'R' = 'is equivalent to' is transitive. Therefore if x R y and y R z then x R z.

Q: Show for Re(z) > 1 -dr = r(2) ((2). %3D et - 1

A: