1. Use truth tables to prove whether these propositional assertions are valid or invalid: (i) P = (~ P = P) (ii) (P+~ Q) e [(PV Q) A (~ P V~ Q)] (iii) - P + (P = Q) ^ (P=~ Q)]

Q: メ+1

A:

Q: A = 6 -2 -2 10 -3 5 1 ---3-0 C=0-2 a = 1, b = [3 08]. -10 1 . B 5 2 11 9 4 4 7 0 0 11

A: We have to solve given Questions.

Q: 40 -50-

A:

Q: 8.20+2

A:

Q: 24 12 XD

A:

Q: 10 8/10 + 9 7/12=

A:

Q: 5(18)

A: To find5(18)

Q: 6.4 3

A:

Q: 2) 36³x=¹

A:

Q: 1+3+5+7...+1003

A: Sum of n odd numbers, where the last term of the series is (2n – 1), is, Sn = 1 + 3 + 5 + …. + (2n –…

Q: 33/29 b.

A:

Q: Poove BLO => YQ< B.

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: 1+7/7 + 8

A: Answar would be 10

Q: 4root2*4root2

A:

Q: sing the geometry of the graph ,evalvate the definite integrals.

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: 9 b and c

A: b) We check if the denominator is 0 for any value of x.  2x2+5=0 2x2=-5 x2=-5/2 (not possible) So…

Q: 7 2 3k+1= [A] k = 2

A: Consider the equation ∑n=273k+1=A We have to find the value of A Expand the summation of left hand…

Q: 5. 110 (x + 12)°

A: given alternate exterior angles are equal.

Q: ne binomial:

A:

Q: tions exist, you o = x %3D

A:

Q: Expand (a −b)4

A:

Q: 81 (1) 420

A:

Q: Evaluate (33)2

A: Given: 332Power rule amn=am×nSolution:332=33×2=36(33)2=729

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &amp;…

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: 38 10

A:

Q: expansion of (1-2m)“

A:

Q: 10| 5 10 10 -5 -5

A:

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 9 tmes 8

A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

Q: 14 1

A: Given triangle is What is another side length?

Q: 29 Using the combination formula expand (5+x)

A:

Q: Find A.

A: Given