6. Let A = {a, {0}}, B= {a, {a}, Ø, {Ø}}, and C={{0}, {a}}. Write out the following. a) AnC= b) AUC = c) B-C = d) P(A) = e) Ax {0} = f) An{0} = %3D g) Cn0 =

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: ) ydx + zedy-y'dy=o

A:

Q: .) what is the remainder when 1't2°+ 33 t... + 1000° is divided by 6.

A: We need to find the remainder when 13 + 23 + 33 + ........ + 10003  is divided by 6. We know that ,…

Q: 5) Construct AD'E'F', the reflection of ADEF across line l. F.

A:

Q: Let ū = (-1,2,4) and ū = (-3,5, 2). Compute the following: (a) ū+ū (b) .공 (c) ||해 (d) ũ - 7 (this is…

A: (a) Find u→+v→ as follows: u→+v→=-1,2,4+-3,5,2          =-1+-3,2+5,4+2          =-4,7,6

Q: Find the valves of X and in this parallelogram. S+ズカ 13 17 a Sohe for x. b) Sie for y

A: Since opposite sides of a parallelogram are equal, therefore

Q: 6. Find UV (dot a) Ū · V = (2, 3, -

A:

Q: Suppose the conjugate z is equal to the reciprocal 1/ z. What are all possible z's?

A:

Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

A:

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

A:

Q: 2 let -27 Aslo -3 1470 -4 find AB+BA,AA"AA, (3A=2B)°C A'C..

A: "Since you have posted a question with multiple subparts, we will solve first three subparts for…

Q: • r : (x, Y, z) = (7, 8, 2) + X(-3, –8, 2) %3D 7 – x y – 8 - x y – 8 2 – z • S : -7 -6 4

A: Given query is to find the angle between two line.

Q: 2] -1 1] a. Find SVD from A 1. A = [4 | b. Find SVD from A invers 2. A = [; : : 8] 1 0 0 0 a. Find…

A:

Q: In the following questions suppose A = {a, b, c}. Mark the statement TRUE or FALSE. {b, c} eP(A)…

A:

Q: if zi = ayi for i=1,2,...,n, show that z=ay

A: Here we have given that if    then we have to show that   so here zi and yi are random variable…

Q: A Find a numbel z That satisfies The condubion g af The MUT I dx= 9 4 -4 O -a 0-15

A:

Q: B. Let ul,e)=rMsin(nt). Find Pur tru tUge Orr

A:

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

A:

Q: If a and b are in R^n, is −a in span{a , b }?

A: Let a,b∈ℝn

Q: S dx 4+e*

A: follow next step

Q: 2 1] Assume A = 1 3 4. [2 2 4 and B = show that (AB)' = B' A' [3 6 4]

A:

Q: 15) Find u x v for u = and v = .

A: Given vectors are, u = -7, 1, 12 = -7 i^ + j^ + 12 k^v = 2, 2, 3 = 2 i^ + 2 j^ + 2 k^

Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

A:

Q: tan-1 3

A: tan-133

Q: 103 Let = 2+j"8 and z, = 4+ j06. Show that a. + =2 = =, +z2 b. 1- 2 = =-2 с. d.

A:

Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

A:

Q: 1. Let U- {[ : b. e Maxa(R) :3 c+d = 0}. d Find its dimension.

A: .

Q: Show that sin , +sin ¤, = 2 cos[;(4, – Þ,)]sin[;(P, +Ð,)]

A:

Q: Consider ỹ,,y2, ÿ,ER³ and that y,+y,+y;=0. For Î=span{ ỹ,,y} and Y=span{ỹ2, y, show that Î=Ỹ.

A: Given  that  y→1, y→2, y→3∈ℝ5 and that                   y→1+ y→2+ y→3=0→. and           Y^=spany→1,…

Q: Suppose that (ax + b) cos x dx = 12. Then the value of a equals: A) 6. B) -6. C) 6n. D) -6T. E) None…

A: Given: - The integral is, ∫0π(ax+b)cosxdx=12 To find: - The value of a.

Q: 3. If h:x + x + 1 and k:x - x', complete the following. b. ko h:5 a. koh:3 d. hok:3 c. koh:x - ? e.…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: ) 2. Determine z, for the following values of a: a. a = 0.063 b. a = 0.05 c. a = 0.10

A: We have given that,  (a) significance level (α) = 0.063  (b) significance level (α) = 0.05 (c)…

Q: Suppo se fCA) = gl hux). If gce)-3, gʻl2): 4, hl0): 2, and h'(0)=6 find f'c0).

A: we have given function f(x) = g(h(x))g(2)=3g'(2)=4h(0)=2h'(0)=6

Q: Let x = (m , 1 , 0 , -2)", m > 0 and ||x|l2 = v30, then m = Select one: а. 4 b. 5 с. 6 d. 7

A:

Q: 1. fxv2x+ ldx ans : 능(2x +1)-1(2x + 1) +c 2. Cilt- 4dt

A: Since you have asked multiple questions in single request  so we  will be answering only first…