|Let A¡ = [i − 1, i] for all integers i = 1,2,3,4. Find the following. a. A₁. A₂- b. A₁ U A₂ U A3 U A4 c. b. A₁ A₂ A3 A4 A3- A4-

Q: 23. For any real number a, a ‡ 0, show that a +1 a +4 a +7 a +5 a+6 a +9 a -2 a +3 and a +8 | = 0, a…

A:

Q: For any real number a, a ≠ 0, show that a+4 a+7 a+5 a +8 = 0, a+6 а+9 a+1 a+2 a+3 and 4a7a 5a 8a =…

A: We are required to prove: a+1a+4a+7a+2a+5a+8a+3a+6a+9=0a4a7a2a5a8a3a6a9a=0aa4a7a2a5a8a3a6a9=0

Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: Replace R2 by R2 +(-6)R1. 19 -3 -5 6 7 7 -9 9 8 R2 +(-6)R, =

A:

Q: 20. Let B; = {x eR|0< x < i} for all integers i = 1, 2, 3, 4. a. B1 U B2 U B3 U B4 =? b. B1 N B2 N…

A:

Q: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…

A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

A:

Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: 60. Wesley and Brian have a total of 87 baseball cards. Wesley has 30 less than twice as many…

A:

Q: 5 13 Given sine and cose = 12 which of the following can be proven using a Pythagorean identity? 13'

A: sinθ=513cosθ=1213

Q: T F 8. F 9. T T F 10. For all integers n, 3|n³ – n The last digit of 3303 is a seven. The last two…

A: Using basics of modular arithmetic we solve this problem.

Q: Solve | 3-x| 2 5. O A. The set of real numbers B. Ø OC. {x|x28 or xs-2} O D. (x|x> 8 or x<-2} O E.…

A: