1. (a) Let 5 -6 -6 B = |-1 4 2 3 -6 -4 Find oigon nigon un imil to D

Q: [ 1 If A= -1 0 find x and y such that (xI +yA) = A

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Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: At this point, what can you conclude about Group 1? Group 1 has significantly higher VIQ than Group…

A: Confidence interval give a range of values for the unknown parameter of the population. The width of…

Q: 1) Prove that there are no positive integer solutions to the equation x2-y?=1

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Q: 8 If C is a circle of radius r with centre z,, in the complex z-plane and if n is a non-zero…

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Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

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Q: 25. If mRU = (16x - 13)', mSE (11x - 24)', and M2STU = (3x + 1)', find mŠU %3D Iex-13. mSU=

A: By visuals, we can say that RS is diameter in this circle.

Q: X sec10 can 1. Let u = 7 In х2 - 1

A: Given: ∫x sec107ln2x2 - 13tan7ln2x2 - 13dxx2 - 1.

Q: 6 - 2 Compute A - 513 and (5I3 )A, where A = - 5 4 - 7 2 2 A- 513 (513)A = O 3. 4)

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Q: 1: What happens to the above if the root r has a multiplicity m?

A: It is given that, the root r is a root multiplicity m that is fx=x-rmgx where gr≠0

Q: Vhich among thế chôičes satist etters only. 2а. у" - Зу'- 10у %3D0 Co-5x C o2x

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

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Q: 2. Find all number z such that Az" + Bz² + Cz = D a. A= 2

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

Q: 26 If A = then det(A) is Zero %3D %3D -5 4 Choose Zero Nonzero Thus, A 1 and det(A 1) =

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Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

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Q: (ii) AU(BnC)= (CUB)NĀ. %3D

A: Introduction :

Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: 6. Show that when ) < |z - 1| < 2, e - ( - 3) (2 - 1)(2 – 3) Complex Analysis n=0 (z-1)" 2+2 2(z-1)

A: We use Laurent series to prove given example.

Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: (9) Is an complex annullus Ann(2o, R1, R2) with 0 < R1 < R2 simple connected?

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: QUESTION 1 Ifliafix) -3 and Linf) - F5) -5 -5 -4, then f5): x-5 O annar be denermined. O equals 3 O…

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Q: 7. Find a pair of integers (x,y) such that 4021x + 2014y= 1.

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Q: В. a = lass)-(21-1) given that w= In(6x + 2y³ – 3z).

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Q: 3. Find the constants bo, co, a1, b1, C₁ so that So(x)=1+ box + cox² + x³, S(x) = { S₁(x) = a₁ - 2x…

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Q: 28 + 58 lim z-5i z7 – 54iz3

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Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

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Q: If A= B = verify that A(B + C) = AB+ AC. :) 1 If A = 2 and B show that (AB)" =B'AT 4 -1

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Q: Suppose we observe X1, X2, ..., X U (0, 1). Show that nX(1) 4 Exp(1). с.

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Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: Theorem = 7 K 51 M 25

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Q: 38) - con A) 0 sec B) 5π T, 13л 5т D) 0 3 12 12

A: Find the value of x which satisfy sec(x/2)=cos(x/2)

Q: 1. State and prove the full version of the Pythagorean Theorem

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Q: 10. Triangle JLM with verfices J(-5, 7), L(8, 3), and M(-3, -1): (0, - 5)

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Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t - x, + x, = 10 -2x, + x, – x, <-10 1 Solve the…

A: Given, Min Z=3x1+2x2+7x3s.t,                    -x1+x2           =10              -2x1+x2-x3≤-10 The…

Q: 2.2.7. Prove the full triangle inequality: for every x, y E R", | |æ| – |y|| < |x± y| < |æ| + \y]-…

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Q: Theorem 4.8.1 Irrationality of V2 V2 is irrational.

A: For any integer n such that n² is even then n is also even.

Q: 3 If A = 1] show that A² - 5A + 7I = 0. %3D %3D -1 2

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Q: 1. Lat A - [; : - and B = 2 2 1 3 4 (a) Compute AB. (b) Compute BA.

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Q: 2+13 Evaluate zdz along the following paths- (a) horizontally from 1 +i2 to 2+ i2 then vertically to…

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Q: 3. Let, a1 = 3,az = 4 and for n > 3, an = 2an-1+ an-2 – 5, express a, in terms of n. %3D %3D

A: An arithmetic progression is a sequence of numbers such that the difference d between each…

Q: 12) a-:]- B-[:: ind AR 3 0 3 -2 1 Find AB. %3D -2 1 0 4-3

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Q: By expanding both sides of the identity (1+ x)"+4 = (1+x)"(1+x)* prove that ("**) - (") + «(,",) +…

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Q: 2. Sketch 0 in standard position if cose = 8. and deter %3D

A: Given that: cosθ=-817

Q: 4: a) Let X.X., X -N (Hi,6f). Let Y,, Y2 Ym-N (u2,63). .... d (1-a) % CIfor oi when ai. a known.

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Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

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Q: Show that yn Z, if n³+5 is odd then n is even

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