dx dt Determine all critical points of the system of equations- O (17+ (-1)+1, лn), where ne Z O (17 + (-1)+1, лn), where n > 0 O (лn, 0) and (17 + (-1)"+1, an), where n E Z O (17+ (-1)", лn), where ne Z O (17+ (-1)", лn), where n is arbitrary. = (17+ x)siny and dy dt = 17-x- cosy.

Q: 4. A = [ 5 7 5 ²]. b = = ['₁ 5 12 17

A: Given,

Q: [1 2 [5 4 51 A = 3 6 6 L2 7 7J B = 3 0 C = 5 1 -2 -3 Dim: Dim: Dim: Dim: [ ] [] 1)A+C = 5) D-B=…

A: Given matrix is A=5453662773×3, B=1430213×2, C=1215120−3−13×3 and D=231−2053×2 (1) Find A+C…

Q: If A = 2 4 and B find: (а) АВ (b) А + B" (с) 2A' - В

A: Topic:- matrix algebra  Note:- as per our guideline if more than three subparts than  only first…

Q: 3. If A = {1, 2} and B = {x, y}, then AXB = O {1,x), (1,y), (2,x), (2,y)} O {1,x), (2.y)} none of…

A: We have to solve given problem:

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: (1 3 A = 2 1 4 0 3 B = -1 -5 6. Evaluate A+B , 3A– 2B , AB', A'B .

A: If the rows and columns of the matrix A are interchanged, then we obtained the transpose matrix, AT.…

Q: 5) U₂ = 5 Uxx t U(0,€) = 2 U(3,4)=-1 U(x,0) = -x

A:

Q: (a) 4 1 A [-2₁ =[-2__2] = [23] C = [3] B ? 4 -8 (c) -8 6 (b) 0 [1 7

A:

Q: (b) Show that (АВ) -1 — в-1А-1. (АB) -1 B-A-1

A: In this question we have to prove AB-1=B-1A-1. we know,X-1=1Xadj.A

Q: In R4 suppose X = (11,3,-4,2), Y = (12, 10, 8,-1), and Z = (-1,7, 16, -22). If W = (a, b, 13, c),…

A:

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A:

Q: 3y²y + y³ = ex

A: 3y2y′+y3=e−x

Q: n(U)=85, n(A)=43, n(A∩B)=22, n(C)=12, n((A∪B)′)=24, and (A∪B)∩C=∅. Find the following. (1) n(C′)=…

A: Given , n(U) = 85 ,  n(A) = 43 n(A∩B) = 22 ,  n(C) = 24 n((A∪B)')=24 n((A∪B)∩C)=∅

Q: S={(4,5),(4,6),(5,4),(6,6)} and S^-1={(5,4),(6,4),(4,5),(6,6)}. Find the composition of S and S^-1.

A:

Q: -[: :]. »- [:]. - Let A B = and X = Solve the following linear system of equations: AX=B. Let A, B…

A: