1 6-5 -4 -3 -2 -1 3 4 5 -2 -3 OA. No solution B. (1.5, 0) and (-1, 0) OC.(1.5, -1) O D.An infinite number of solutions 4+ 4 3- 1 -6 -5 -4 -3 -2 2 3 4 6. 2 -3 4 2. 3.

Q: [1 2 A = 34 Given then -1 3 -24-1의 O a. 2 -4 -1 2 -2A-1= b. 3 -4 -4 2 -2A-1= Oc. 3 -1 1 -2 -2A-1의…

A:

Q: The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have O a unique solution O infinitely many…

A: For given equation,             a1x + b1y = c1             a2x + b2y = c2 Case 1          For…

Q: 2 -1 -5 0 2 1 0 O - 2 3 1 D = 2 -2 -4 2 -7 0 -1 2 4 -6 -5 -9 -5 0 1 2 2. 3. 1. 3. 2.

A: A=2-1502210-23135102-20-42-70-12234-6-5-90-50126

Q: 13 A= 2 4 Given then 4 -3 O a. -24-1= %3D а. -2 1 -4 3 O b. -2A-1 2 -1 1 -3] Oc. c. -2A-1- -2 4 -1 3…

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Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: () 3. If ATy= has a solution and A -2 0 then %3D 1 %3D O a. a = 0.5 O b. a=-2 O c a = -0.5 Od. a=2

A:

Q: "Co 34 "C, "C, "C; (-1)" "C, ,ne Nis equal to 10 14 (4n + 2) 2" n! 2"-n! () 3.5-7...(2n - 1)(2n +1)…

A: We have use binomial theorem  1-xn=nC0 - nC1 x + nC2 x2  + .........+(-1)n   nCn

Q: 2 2 -2 If A = = -1 0 3 -4 -4 and B -2 0 th 1 -3 3A – 2B and 4AT 24

A: Given: A=22-4-10-43-4-4 and B=30-2-2021-34 To find 3A-2B and 4AT

Q: a) 5n + 1 3n2 2" (b) Σ 1 ( c) Σ n=2 nº - 7 - 1 n=1 n=1 3n

A:

Q: Use the substitution method to show that the solution of T(n) = 2T(n/3) + n2is O(n2)

A: Given that T(n)=2Tn3+n2 To show that it is O(n2).

Q: 41. If yo Yı • Y2 , Y6 are the consecutive terms of a seies, ..., then prove that Yz = 0- 05 (yo+…

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Q: use the Substitution Property ofEquations to solve the equation.

A: SUBSTITUTION METHOD: In this method, the value of one variable is find out in terms of another…

Q: Identify the two series that are the same.

A: In order identify the same series, just write the few terms of the gives series as follows. (a)…

Q: A =  -1 0 2     0 −2 −1 3 4 5             B =  2 -1 −1     0 3 3 −1 0 1 Find A−1B

A: A =  -1 0 2     0 −2 −1 3 4 5         B =  2 -1 −1     0 3 3 −1 0 1 Find A-1B

Q: If z =3+2t. y=-t,tez, are the solutions for az + by - e, a, b, c, z, y € Z, then the number of…

A: Given that x=3+2t, y=-t, t∈ℤ are the solutions for ax+by=c,    a,b,c,x,y∈ℤ.

Q: Let 4 -9 10 7 8 10 -1 1 -5 -9 -8 A = -1 -4 6 3 -4 -6 8 -9 How many solutions does Ax = 0 have? O a.…

A:

Q: 2 1 1 -3 A = | 12 -3 10 7 1 4 and 1 7 B = | 2 5 1 3 8 -7 then tr(2AT – 3B) = %3D

A:

Q: 9. If 5x- 3x +p 0 has a repeated root, then p=? A. 4.5 o 10. Given that the equation x² + x - k = 0,…

A:

Q: ) def 1 = = 5m | 3 2 m 233 + m² 10m3-232-5 (2m3,m2) - hld - N/W 2(2m3+m2) - 1 1 23+1 ㅋ 1 - 7m2…

A: Take the LCM of the denominator first and then go ahead.

Q: 1 3 -1 2 Given A =-1 3 &C= 3 1, solve for B. -1 -1 0 Where 3A = - C 4 22 20 28 -6 1 5.5 5 7 -1.5 2…

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Q: 4 3 Find the general solution of = A. -2] Let A -3

A:

Q: Given 0<θ<2π, solve √3tan^2 θ+2tanθ−√3=0. 2π/3,5π/3,π/6,7π/6 No solutions 2π/3,5π/3 π/6, 7π/6

A: Proceed as shown ...

Q: 5 4 0 0 ( 1 1 5. Solve; a) 3 b) 0 0 0 1 2 1 - -2 0 0 0 4 5 5

A:

Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: -8 3 -2 4 4 -17 -5 2 -1 2 2 -12 [A|b] = 4 -1 2 -3 -2 7 | | -2 -1 2 1 -3 -2 1 1 -4 Number of unknown…

A: The given matrix,-83-244-17-52-122-124-12-3-27-20-121-3-20011-4

Q: 7. 2-(-6)/10- 12 8. -8 – 12/-6-4 9. If n = 7, find the value of: i) n+7 14 ii) 3n =21 42-8=34 4(n +…

A:

Q: 10) Which of the following shows the solution for n2 + 2n 2 24? A) 4十 -6-5-4-3-2-10 123456

A: The given inequality is n2+2n≥24

Q: o(1- a2)"dæ : 2ª" (n!)² (2n+1)! 10. Show that for n =0,1, 2,.... (0! = 1 and

A:

Q: 2 1 A = Given then 3 4 2 -1 5A-1 O a. %3D -3 4 4 -1 5A-1 %3D Ob. b. -3 2 -2 1 3 -4 5A-1 -2 3 54-1…

A: Given A=2134We know that for A=abcd then A-1=1ad-bcd-b-ca

Q: How many integer solutions are there to the equation x+y+z=7x+y+z=7 for which x,x, y,y, and zz are…

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Q: -9 -8 -7 -6 -5 -4 3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 white the solution ininteval notation and grapn it.…

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Q: п(3п - 1) (b) (3i – 2) = (for n > 1). - i=1 (0) II (- n+1 (for n 2 2). i2 2n i=2

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Q: 2х + Зу + 5z 9 %3D 7х + Зу — 2z 3D 8 2х + Зу + ^z %3D 7 For unique solution, the value of 'A' should…

A:

Q: 1 2 -3 1 a) If A = -4 5 0 -2 and B = Calculate: - ATB =

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Q: 8cos^2(w)−2sin(w)−7=0 for all solutions 0≤w<2π

A:

Q: 6. 7. 2. y 1 21 1/3 1. O119 O -/2 T-|マ

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Q: 3. The solutions to P(x)=0, in simplest exact form, are z = -2, -d±eVf. The values of d, e, and f,…

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Q: find values of x - y - z by gauss Elimination 2 X + y- 3z=-10 -2 y+ z = -2 Z = 6 2,4,6 O 2, 7,6 O 3,…

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Q: If a_1=5a1​=5 and a_n=a_{n-1}-4an​=an−1​−4 then find the value of a_6a6

A: Given: a1=5an=an-1-4

Q: 6. A boy notices a group cof birds on the ground and a second group in a tree. He also notices that…

A: Let there are g birds in the group of birds on the ground and t birds in the group of birds on the…

Q: 11) Which of the following shows the solution for n2- 2n < 24? 十十 A) 6-54-3-2-10123456 + +++++++…

A:

Q: Q1: [2 5; B 6] 1 4 6] 7 8 -1 -31 Let A -3 2 3 4 1 ;C -3 1 4 1 1 -3. 4 3 2 Find 2A – BC |

A: given matrices A=146-325416 B=278341111-3 C=-10-35-31432 find the value of 2A-BC

Q: 2n+5 Sn= Зп-4 Find a1, a3 and EK=1ak 8.

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Q: Which of the following is the solution set of In(5x – 7) < In(2x + 8) (5, 00) (-00, 5] (-00, 5) [5,…

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Q: -1 3 5 7 3 -1 6 3 2 4 -2 Given: A = 2 -1 1 4 -2) Find: |A|| 3. 2. 1.

A: Solution

Q: 5. Solve for X given 1 -7 3. 1 29 -8 A = -4 -6 2 and B= 2 -7 7 -9 -1 -10] 6. X =-2A-7B [-17 -25 T-25…

A:

Q: Let 1 2 A =| 2 4 3 6 How many solutions does Ax = 0 have? O a. Infinitely many а. O b. Ос. 1 d. 2…

A: