Prove the following tautologies by starting with the left side and finding a series of equivalent wffs that will convert the left side into the right side. You may use any of the equivalencies in the list on page 9 or the equivalencies from Exercise 26. a. (A ^B') ^ C+ (A ^ C) ^ B' b. (A V B) ^ (A V B') →A c. AV (B ^ A') +AVB

Q: pmf of x 12-X P(x-x)=√12) (0-75)* (0-25 )¹²-X =X(12) a) P(x>2) = 1- P(x<z) = 1- [P(x=0] + P(x = 1)]…

A: Basic concepts of probability are used

Q: Which of the following gives /₁ O 5tanh-¹ (5x) + C Otanh-¹ (5x) + C Ocoth ¹(5x) + C 5coth-¹(5x) + C…

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Q: Question 4:Let U= {1,2,3,4,5,6,7,8,9,10}.What bit strings represent the subset of all odd integers…

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Q: Evaluate -4/j^9 O a.j4 O b. 4j O C.-4j O d. all of the above

A: Complex number

Q: Explain why it is not necessary to use the Quotient Rule to compute

A: Because in the first expression x is in the numerator and we are doing partial derivative with…

Q: The order of −i in C^(∗)

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Q: 2. (s² +5

A: The given function is -tcos5t To find the Laplace transform of the given function proceed as follows…

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: Match these values of r with the accompanying​ scatterplots: 0.762, −0.994​, 1, −1​, −0.404.

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Q: Let A = (-0,0), B=(0,0) then AUB=

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Q: п(п + 1) 15. Verify that E-1k is equal to for the cases (a) 2 n = 2, (b) n = 8, and (c) n = 9.

A: We have to verify that ∑kk=1n=n(n+1)2 for the cases (a) n=2 (b) n=8 and (c) n=9

Q: i got those 2 already but I was looking the answer on lowercase c the answer shown on my textbook…

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Q: If n(Ax B) = 620 and n(B) = 31, find n(A). n(A)= n(B)= @)(::;:233)5

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Q: 1) Write all the following as expansions : > 0.2 > V26 V35 (0.99)-4 V(4 – 2y)2 ,y<2 2х-1° 2

A: (a) 0.2answer(a)0.2=2100.2=15(b) (26)13 answer(b) using approximation to solve the cube rootput x=27…

Q: Verify that det(AB) = det(A) det(B) for the following:

A: Given: The given matrices are A=1-23-231010 and B=1023-25213. First, find the determinant of A and…

Q: 3. Transform the following formula into CNF and simplify: "(b& d- -)) (d- -) b)

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Q: Which of the following expressions is NOT equivalent 36 ? to x

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Q: Which of the following is equal to / (2° – 72)*dx = ,

A: follow next step

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 2x-3 for *く-S メ+4 %3D ーメ+3 for マ-S メ+2 for x) -5 メ+ヒ find *ビ" し 1n for order f(x) to メ- -5

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Q: Consider the graph of f' (x). At what value (or values) of x do f (x) have a local maximum?

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Q: O True (²7.¹7 (²77)) ²1¹7A (2)

A: This expression is False

Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: 3. Find all solutions to x² + 5 = 0 (mod 245).

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Q: Compute the following. (a) P9, 4. (b) C9, 4. (c) P9, 9. (d) C10, 10.

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Q: Evaluate E= Z and q2 = 1-P₂ E= A A P₁91 P2 92 + n₁ n₂ A A X1 for z* = 2.575, x₁ = 35, x₂ = 96, n₁ =…

A: The question is about margin of error Given : z* = 2.575 x1 = 35 x2 = 96 n1 = 40 n2 = 113   To find…

Q: Please answer A and B.

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Q: Evaluate E=z P₁ 91 P2 0 n₁ n₂ X₁ for z* = 2.575, x₁ = 37, x₂ = 77, n₁ = 43, n₂ = 91, P₁ = ₁ E=…

A: Given,x1=37 , n1=43x2=77 , n2=91

Q: Evaluate the following * [csc² cot (5x+6)/2 + C cot(5x+6)/ 5+ C - cot(5x+6)/ 5+ C cot(5x-6)/ 5+ C…

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Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

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Q: lifferen tiake 3-Co5hx with respect to X 6+ sisht

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Q: eft tail. my qu

A: Given that  Number of students (n1)= 55 mean score x1¯ = 83 standard deviation of score (s1) = 7.2…

Q: Find A*. 1- i 7+i 3i A = 6 9 +i |() ? ? ? ? ? A" =

A: