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: 11) (4a° Ya-8 ²)+ 2yy 43 34

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

A: Finding the values of b and no

Q: All of them

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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

A:

Q: (2a")(4a°)? 24a" 13 17

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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: (2xº)²

A: Given the expression=x(2x0)2

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

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Q: 13. 8x²-72 (5-x) 2. 14. 42x+77x+35

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Q: 7)-2abc * 4a²bc+

A: We will find the product.

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

A:

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.