Givien the following defintion  U={1,2,3,4,5, 6,7} A={1, 2,4,5} B={1,3,5,7} How many elements are in A' ?

Q: Express the following as linear combinations of u= (2, 1, 4), v= (1, -1, 3), and w= (3, 2, 5). (a)…

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Q: Let U%3D {а, с, е, һ, т, о, р, s, t, и, у, 0, 1, -} А 3D {с, һ, о, р, s, и, e, y} B = {s, e, t} II В…

A: For the given data Find the given

Q: EX: Let S.[22] be asubset of IR Si-[-2-4J; S₂ = (-1,0]; S3 - (04]; S4= (1>2] {Si}, is a…

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Q: vecter u =(=1,0,k) v= (6,-4,2). whit is velne of K for which two nectes are

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Q: ect one: a. cluster b. startified c. random d. systematic Clear my choice

A: In stratified sampling, the population is divided smaller groups known as strata. Among these…

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A: In the given problem we have to evaluate…

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (4, 0, −3, 5), v = (0, 2,…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

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Q: Write out the following sets by listing their elements between braces. 9. {X :X < {3,2,a} and |X|=…

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Q: I elements is A, then the

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Q: If u = (3,0), v = (1,2), and w = (1, –1), find a and b such that u= av + bw b = (enter numerical…

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Q: Let Z - N(0, 1). Find P(Z < 2). Question Help: D Post to forum

A: Given that, Z~N(0,1)

Q: Let C: |z – i| = 3 and I = $. dz. Then |= 4rti O I= 6ni |=0 O I= 12ni None of these

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Q: Let X={a,b,c} and S={a,b} then sigma engereted by S ??? Sigma(S)??

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Q: If x, y,z are integer's mumbers then: 1) Show that if x \ y then x \y z 2) By use part 1 show that…

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Q: Prove: Vn,meZ, if n and m are odd, then n-m is odd.

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Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v = 2e, - 2e, +e,.

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Q: for AUB unih AG B inderser for is not unusual.) Then, A+B= B+ A A B= B A A (B+ C) = A B+ A C A+Ø= A…

A: In this question we need to explain about the underlined symbols ∪ ,   ∩  ,   ϕ  .

Q: Let w=ord ({1,2,3,...}) and n=ord({a1,a2,a3, . .. ,an}), then w+n=n+w صواب ihi

A: Given a statement

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Q: How many funcei ons F{,2,3,4is}→ {l,2,3} are ehere eien er FCI)=1, F(2) 2, f (3) =3? or

A: To find the number of function f such that either f(1)=1 ,f(2)=2 or f(3)=3 .

Q: Show that if x,y∈Z and 3|x^2+y^2 then   3|x or 3|y

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: prove that n E vol(B6)) > II(b: – a;) vol( B jEJ i=1

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Q: If z,,z,€C then Zz=Z2 OZi+Z2=Z,+z2 OZi+z2=0 Z,Z2=0=Z,=0 or zz=0

A: 2nd and 4th options are correct.

Q: Let X = {a, b, c, d} , T = {0, X, {a, b}, {c, d}}. (a) Is B = {X, {a,b}} base for (X, T)? Why? (b)…

A: a) By definetion of basis for a topology, it is family of open subset of X such that every open set…

Q: Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint

A: Note: " Since you have posted multiple questions. we will solve the first question for you. To get…

Q: Evaluate: 5 tan (z) dz =. O 5tan(z) – z +C O 5cot(z) – 5z +C O 5tan(z) – 5+C O 5 tan(z) – 5z+C O - 5…

A: Given: I=∫5tan2xdx We know that 1+tan2x=sec2x…

Q: EIf a,,a,,a,,...,a, from an A.P. with common difference d, then prove that : а,а,а, а,а, а, а,а,а, ,…

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Q: 5,t2 %3D as t= 5, 1, = 8. Find t

A: The nth term of the Arithmetic sequence is given by tn Therefore tn=t1+n-1d where t1is the first…

Q: Q 5. If U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 5, 7}, B ={1, 2, 3, 5, 6, 7, 8}; werify that (AU BY…

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Q: и%3D 19, —8] v = [4, –5] 4u + v = | Ex: 5 :

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Q: 3 For f(x,y) = In x+y°, 4,8)

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Q: What would be the linear equations for the functions, &amp; what would be the graphs?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: De = system consider the foll lution exists for = 2, µ ations exist for = 5, µ = on for 2 = 6, µ = 7

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Q: w Write down the de finition of IT. 5.

A: Please go through the given definition of Pi given below,

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: k and Ĉ = к апd rs along the a ICorteeion

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Q: Q1. If n=3, expand u = a"x,x, %3D

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Q: 2. Find the exact \ength af the following curvis

A: Arc length L=∫ab1+dxdy2dy

Q: Let C: z-il-3 and I = 6. edz $ dz. Then z2 O I- 1= 4ni

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Q: Evaluate Js I | ix, v, z) ds. Ах, у, 2) - Ху S: z = x2 + y2, 9 sx² + y2 < 81

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Q: Let S(a, b) = {na + mb : n, m ∈ Z}. If s ∈ S(a,b) then sx ∈ S(a,b) for all x ∈ Z How do I prove…

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Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: vative of o = P(1, 1, 1) in t 3 = Z

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Q: V Given that X - N (44, 25), find s, t, u and v   (a) P (X≤ s) = 0.9808   (b) P(X ≥ t) = 0.7704…

A: A continuous random variable X is said to follow Normal distribution with parameters μ and σ2 if its…

Q: b) Give a partition which divides I = [1,2] into n equal parts. %3D

A: Consider the Interval  [1,2]

Q: find the Sta. duidion venanee r 2.1. 3.0, 1.9,15r, 4. 8 2-48,91.87,93,sa1 eK, 92, 100,8…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.