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Q: Let U = {1,2,3,4,5), A = {1,3,5}, B = {1,3,4), and C = {2,3,5). (a) Find A U (BUC). (b) Find (AUB)…

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Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: U = { all real numbers} A = { 10, 11, 12, 13, 14, ...} B = {-3, -2, -1, 0, 1, 2, 3} C = {-1, -2,…

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: continuaus convorte Us not frue. and

A: Uniform continuity

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

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Q: Let U=​{1,​2, 3,​ ...,2400​}. Let S be the subset of the numbers in U that are multiples of 3​, and…

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Q: Q3/ for what value of u will Ju 2 0 16 5 = 0 Ans.: u = 2.0

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Q: 12 y 2 4xy³z² 4877

A: formula used  xa×xb=xa+blet  A=12x4y8z74xy3z2

Q: Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U…

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: R={(4,1) (2,2),(3,1),(3,3), (1,3)},A={1,2,3} then [1]= %3D .a {1,3} .b {2} .C {1,2,3}

A: Equivalence class

Q: f6) = 5-31 5+3x Q11. Let %3D

A: Given: To Find:

Q: Which of the followings are false? I. General term of {2,3,2,3,...} is an =;+(-)". . General term of…

A: The details solution is given bellow.

Q: 5. Let F= [3,2,1] and r= [2,1,–3]. Compute the following: %3D a) Proj „F. b) Orth rF = F – Proj „F.…

A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

Q: show that (2n+1) Pr= PA+t=PAt Use tege ndre palgnanicds the

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Q: (9) 1. ~ GƆ (A v B) 2. - B 3. AƆ D 4. - G/;, D

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Q: Q3// Let x be a r.v having p.m.f X -2 -1 5 P(X) 20 3C 20 C 4C 1) Find the value of C? 2) Find C. d.…

A: The pmf is given as X -2 -1 0 2 3 5 P(X) C 2C 3C 2C C 4C 1. It is known fact that,  ∑ P(X)…

Q: Let G = (a, b | a² = b² = (ab)?). a. Express b²abab³ in the form b'a'. b. Express b'abab³a in the…

A: Given: The expression is G=a,b|a2=b2=(ab)2. To Express: (a) The expression b2abab3 in the form of…

Q: Use the identities A = ANS and S = BUB and a distributive law to prove the following. (a) A = (ANB)…

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Q: (Google Classroom) Kites i…

A: Given: Martin claimed that RU=TU because QRST is a kite.

Q: Evaluate (Csch(In 1.5) 10*+1 Usinh(Ino.5) 10x-1 A. 2.9764 В. 3.7265 C. 4.1508 D. 1.8751 Evaluate…

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Q: () - (" ;')-(,".) Show that: n+1

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Q: Let u (41, U2, Uz). Explain why u•u > 0. When is u•u 0?

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Q: 4. -0-0-0-| - [¯-2], ✓= [3³], V W 1. u. u, v. u, and 2. w. w, xw, and x-w W. W 3. 1 W. W 1 u u u= W…

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Q: az Q.7 If z(x + y) = x2 + y?, show that lax = 4 ду. - +(1 - ax ду.

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Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: Match each statement with one of the choices [(1)- (4)]. (1) 2 +3 et (2) t2 +3 (3) 0 et (4) r2 + 3…

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Q: 33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

A: 2+j2=2√2(1/√2 + j/√2) = 2√2(cos(π/4)+jsin(π/4))

Q: q9

A: Finding the projection of u → onto v →:   projv →u →=v →·u →v →2·v →Here v=2i-2j-4k or (2,-2,-4)…

Q: Let a, b, c be integers. Prove that if a|b and a|c, then a|(b +c).

A: Suppose a|b and a|c. Then there are integers m and n such thatb = am and c = an.Then b + c = am + an…

Q: prove for n=l,2,3. e that +2+3+..+h = ncn+l) 2. %3D %3D

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Q: Fin Sup(S) and Inf(S), Where 1 S = {1. п

A: Consider the set S=1, 12, 13, ... , 1n, .... Observe that as the value of n approaches to infinity…