Consider the following system. X' x' - (28-49) X = Find the repeated eigenvalue of the coefficient matrix A(t). λ = Find an eigenvector for the corresponding eigenvalue. K = Find the general solution of the given system. X(t) = =

Q: 8) n +3n - 12 = 6

A: Given equation, n2+3n-12=6

Q: 5. One factor is provided and one is missing. What is the missing factor? a) x? + 10x + 24 = (x + 4)…

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Q: Зx2 — 2х + 2

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Q: 11) 2(m+5)+7=3(2m-1)

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Q: b15-スx2+ x 4x t.

A:

Q: 11) (4a° Ya-8 ²)+ 2yy 43 34

A:

Q: i) 3(-2) – (-2)7 + (-1)_ 2(5) – 6(-3) =

A: 3(-2)- (-2)*7+-1=-6+14-1=19 3(-2)- (-2)*7+-1-2(5)-6(-3)=-6+14-1-10+18=19+8=27

Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: All of them

A:

Q: If 15, then 3x = 3. (А) 5 (D) 45 (C) 18 (B) 12 (E) 135

A: solving equation by multiplying both side by constant. multiplying constant doesn't change equality…

Q: 15) 2x2- 7x +5

A: See the attachment

Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: 6) b + 16b + 64

A: Given equation is b2+16b+64. Solving the given equation, b2+16b+64=b2+8b+8b+64=bb+8+8b+8=b+8b+8

Q: 16 If X-B (4, p) and P (X=0)=- then P (X=4) 81

A:

Q: (9) VL1, L2 ((L1 UL2)* = (L2 UL1)*). True O False

A: Please check the next step for detailed solution

Q: 8. (oc-6)3

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Q: 3 2x 1 6 1 3x + 1|2

A: Our Aim is to simplify the expression given below and to find the value of x:-32x-16=13x+12-(i)

Q: (2a")(4a°)? 24a" 13 17

A:

Q: 7(z+2)=2(z+3)

A: 7(z+2)=2(z+3)7×z+7×2=2×z+2×3

Q: 8)능(x+ 27)-극(x-3) -x*5 -3)%3Dx+5 81 A), B

A: Solving by separation of x we have

Q: Determine the lead coefficient. a) 9x2- b) 3x + 9x-3 c) -9 + 3x 3x + 9 15x

A: Given: a)  9x2−3x3+9−15x4b)  3x6+9x−3c)  −9+3x

Q: (2xº)²

A: Given the expression=x(2x0)2

Q: fox) = 2メ+1

A: Find the attachment

Q: 7.) (x+ 7x-44) ÷ ( x+ 9)

A:

Q: Z, x Z3 and Z3 × Z3 × Z3 Z21 and Z3 × Z,

A: CASE 1 In case of ℤ9×ℤ3, there exist at least one element of order equal to lcm(3,9)=9 In case of…

Q: 16) 2x2+ 3x- 14

A:

Q: The average of 3 numbers is between 7 and 10. The sum of the numbers could be any of the following…

A: Given that:-The average of 3 numbers is between 7 and 10.let, the three numbers are N1, N2 &…

Q: 2+13y+ 12

A:

Q: -2 x+8

A: given that: 5x+8=-2   To find: solve for x

Q: Students receive 5 bonus points for every 2 community service projects they perform. If Simran…

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Q: 20) 5z2 + 3z - 2

A:

Q: 17) 3z2-11z+ 10

A: Answer

Q: 13. 8x²-72 (5-x) 2. 14. 42x+77x+35

A:

Q: 4) (-7k+10 ) (k- 1)

A:

Q: Which of the following is equivalent to 4a2 - 25b6 ? (2a - 56) (2a + 56*) (2a - 56°) (2a + 56) (2a -…

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Q: 7)-2abc * 4a²bc+

A: We will find the product.

Q: The functions g(b, c, d) and h(b, c, d) are defined as: g = (b+ c+ d')' + (b' + c' + d') · (b' . c'…

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Q: 6a - 4b when a = 5 and b

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Q: Find the zeros of Q(x) = 5x - x² + 9 using the quadratic formula. Number of zeros: one

A: Given Quadratic formula is Q(x)=-x2+5x+9 Compare to ax2+bx+c=0 Here a=-1, b=5 and c=9.

Q: 13) x +5 1

A: Given query is to find the solution of the inequality.

Q: 7) W+2

A: