1 [1 0 4 1 2 1 2 3 1) Let A= B = C = 4 -1 D=0 1 2 4 2 |0 -1 1 Find: a) AB b) DC c) (D+I)C d) DC+C

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: 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: Let A=(1, 0), B=(0, 1), C=(1, 1), and D=(r, 1). Verify that R(A, B, C, D) = r.

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Q: 2k 2k +2 3k +1 3k +4 k=1 2 а) 3 b) 0 c) 6 1 d) e) Diverges. ||

A: Given series is  ∑k=1∞2k3k+1-2k+23k+4 where ak=2k3k+1-2k+23k+4 the above series is telescopic…

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

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Q: 1 1 2 f(2x+2) = х 2х 3 f(4) = ? 14 - -3 4

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Q: 3 1 1 0 1 2 3 1 B = 1 2 1) Let 4=, C С 3D| 4 -1 D=|0 1 2 0 4 4 2 2 |0 -1 1 Find: а) АВ b) DC c)…

A: As per our guidelines we need to.solve only one question. Please repost the remaining questions as…

Q: [2 3 2. Given A = 30 2 B = C= -2]. Verify that (AB)C = A(BC) %3D

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Q: Let Let z, = 2-2i ,z, , Z2 =-1-3i find Find 1) 3-i) 2) Arg Z2

A: The complex number is of the form a+bi where a and b are real numbers and i is called iota whose…

Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

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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: 1) Let T C d 02 = 2a + (-2) b + 3c+2d 1a + 2b + (-1) c + (-1) d (94]. [-2a +(-2) b +2c +3d i) T H…

A: We will use given definition to find the solution.

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: b) Compute Sc C 2z²+z+₁ dz, where Z² +4 iii) C = {z: \z+i)=2

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Q: 1) slz) = 3 -3 A) Yes B) No

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: - 1 Let A = 1 3 Find:- 5 a ) 2 A+ B' b) В'А' — I

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Q: 4. Let T = a) 4, b

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Q: の|=4+- COSU u =TX ノ H.W ノ

A: Given that  y=u+1/cosu  u=πx and x=1/4

Q: 5х Calculate: dx (x² + 5)² 5 + C x2 + 5 a) O- + C 4 x2 + 20 b) + C c) 4 (x² + 5)² + C 2 x2 + 10 d) 1…

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Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: 11. If an+1 = 2an + 3 and ao = 1, then az = %3D 509 O 513 O 487 O 496

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Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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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: 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: 3. Find the value(s) of a for which ở = (-1, 2a – 1,3) and w = (2,2a + 3,–6) are parallel.

A: Two vectors  are parallel  is their cross product  is zero. So calculate  cross product  in the…

Q: Assume that (U)=110, n(B′)=55, n(A∩B′)=25, and n(A∩B)=27. Find n(A∪B)

A: For any two events A and B, it is known that n(A or B) = n(A)  + n(B) – n(A ∩ B).

Q: 2 If A =-2 1 +1 2 2+1 1 8 7 5 4 -3 and D is the adjoint of A then D is: 9 1-31 A) 9-1 E) 85 + 111 B)…

A: Option D is correct answer. Here is solution.

Q: 3- The result of dot product between A=(2, 3, 1) and B=(-1, 5, 1) is: a) A. B=14 b) A. B=-34 c)…

A: 3.

Q: c-G ) --G ) -() A-5 ABC. -: 1 1) AT- BT +C 2) C

A: C=(2351);B=(2-13321);A=(315011)

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.