Assume that =y+In(x), and n=x, then u xX а. O a. 1 Ob. 1 1 с. O c. x² d. 1 Unn x 1 O e. x² е. 2 +Unn Of.

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: 2 If A = 3 2 3 4 B = 2] 2 3 3 and C = -1 then (BCT)T – CBT – A= - Select one: [ 10 O A. 10 1 O B.…

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Q: The number of units in z3,[x] is 30

A: We know that, any ring given as ℤpx  will have  (p - 1) units

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

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Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

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Q: 4. If w = x²y + y²z + xz², show that дw Әх дw дw дz = (x + y + z)2.

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Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

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Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3).

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Q: Show

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Q: Suppose ū = (0, -3, –2) and ū = (-1, –4, –5). Then: u + v= u – v= v – u= 5u= 2u – 4ū=

A: Givenu¯ =0,-3,-2v¯ =-1,-4,-5

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

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Q: tan(z1) 0.9947 + 0.1462i 0.0364 1.0047i

A: The definition of tangent function for complex number is tanz=e2iz-1i(e2iz+1). Use 4-2i for z1 and…

Q: prove. that s U. W V- W 1. U.r V.r

A: Using the vector triple product, it can be written that: a→×b→×c→=a→·c→b→-b→·c→a→. Using the scalar…

Q: Given 6 = and d = , find 26 – 5å. 26 — 5а - « < II

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Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

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Q: 1 If x is a real number, then is x² + x4 equal to а. V1 + x² b. 1 xV1+ x? c. xV1+x² d. æ|/1+ x² 1 е.…

A: Let's find.

Q: 1 2 3 1 that R2 = 2R+cS. b. If R = and S= 1 0 01 find a number c such

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Q: Given v→ = and u→ = , find v→ + u→. v→ + u→ =

A: Given:     v  = ⟨ 10 , 2 ⟩      u = ⟨ -5 , 8 ⟩     v + u = ?

Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is:   -3   3   6 -6  9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

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

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Q: of af 42. Assume that w = (х, у) — ху, and (х, у) ду dw dw Find and at ds

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Q: 3 41 If A = ||k|+1 1 2 and ||A||, = 17 , then k= -1 -2 k. Select one: а. 14 b. 14, -14 С. 11 d. 11,…

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Q: 34. If u =x -y where x= 3r –s and y=r+2s, what is duldr ? А. бх — 2у В. - 2(х + 2у) С. 4х — бу D.…

A: Solution:

Q: Suppose u = (4, 1, 1) and v = (–4, −1, −3). Then: u + v= Ա υ V= u= 2u= -1/v= 7u - 6v=

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Q: 21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC…

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Q: Suppose x, y, z E R. Show that zz = yz if and only if either x=y or z = 0.

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