Define the binary operator :) by: a :) b = 3a + 2b + 8 %3D Find each of the following: a. 9:) 6 = b. 7 :) 7 c. 6:) 9 = %3D d. u :) р 3D

Q: Simplify: Зw 5 w-3 3-w Зw-5 OA. 3-w Зw-5 O B. w-3 3w OC. w-3 Зw-5 OD. (w-3) | Зw+5 OE. w-3

A: We have  to simplify

Q: Find the opposite and reciprocal (if it exists) for each of the following. a. 3 (7-clock) b. 5…

A: claim- to find the opposite and reciprocal of the following as we know , opposite ⇒additive inverse…

Q: 6.1 Calculate the order of the element a) (4,9) in Z18XZ18- b) (7,5) in Z12×Zg. c) (8,6,4) in Z18×…

A:

Q: ū = (-2,5) and v = (4, 8), find –3ü+ ū. %3D elect the correct answer below: (2, 13) (7, 13) (2, – 7)…

A: Simplification

Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: If z 2 = Rep, then write za+iß as Ae B

A:

Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Let a = -27 +53 + 4k. Find a.

A:

Q: - 12 dt = t2 +t – 2

A: We are using integration after decomposing it into partial fraction form

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Write the components of OA: O y

A: Write the component of given vector OA→ .

Q: MODE =

A: Mode is defined as that value which has the highest frequency.  In other words , mode is that value…