Which one of the following is not a group? (1): (8Z,+) where 8Z = {8n | n € Z} (2): (Z8, +) where the operation is addition modulo 8 (3): (G,+) where the operation is the usual addition and G= {a+b√2 a,b ≤ Q} (4): (H,-) where the operation is the usual multiplication and H = {0,1} (5): (GL(2,Q),-) where the operation is the usual matrix multiplication

Q: 2 F5V/² W

A: let f(w)=5w25

Q: Simplify: (22 – 4)5 4.x + 4) /x + 2 (x2 a) O (x + 2)7/2 ( – 2) –7/2 b) O (r + 2)-5/2 (x – 2)4 c) O…

A: We have to simplify

Q: acosa (x)+-5sin (x)-4-O

A: Consider the equation,

Q: in (4) d. [5in(x+6) - In(x) - In(x² - 25)]

A: Solve the expression

Q: 16 If X-B (4, p) and P (X=0)=- then P (X=4) 81

A:

Q: (15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is…

A:

Q: how do you write (14)(27)(523)(34)(1472) as a product of disjoint cycles

A:

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: ´5s²–15s-11) -(s+1)(s–2)³. 34-2s 2. i) Find ii) Evaluate (15(s-5)(s+3).

A: The solution is given as

Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

A:

Q: If n = 12 m (me N), prove that "C₂ (2+√3)² "Co- - + "C4 (2+√√3)4 n "C6 (2+√3)6 ·+···=(-

A:

Q: (4) 3√27  -   (3) 3√216

A: