let {x, {phi t}} be a flow on a metric space x. when is x0 is in x a fixed point of the flow when do you say that a fixed point x0 in x is Pointcare stable? when do you say that a fixed point x0 is Lypunov stable?

Q: 5) Construct AD'E'F', the reflection of ADEF across line l. F.

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Q: 4. Let V1 = (-3) - () -- () 5 = V2 10 V3 = " 12 a) For what values of h is v3 in Span {V₁, V₂} ? b)…

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Q: where

A: Given: A = [-2,-10;11,5]

Q: Let C = {0, 1, 2, 3} and f: C → C, g: C → C with ƒ = {(0, 2), (1, 2), (2, 3), (3, 0)}, {(0, 3), (1,…

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Q: X all-l laoW J mttps://rafid.bu.edu sa/webapps/assessment/take/launch.jsp?course assessment_id_58711…

A: Given the set of three vectors , we need to check that they are linearly dependent or linearly…

Q: 1. The map T : Mat2,2(R) → Mat2,2(R) given by a +c d a b T c d а — d

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Q: Compute the value of ( G. dL for G = 2ya, with A(1, -1, 2) and a) straight-line segments A(1,-1, 2)…

A: Given the line integral ∫APG·dL for G=2y,0,0 with the initial point A1,-1,2 and P2,1,2 using the…

Q: əz əz 1. Let z = x² + y³, x = 2st and y = s − t². Compute for and əx Ət

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Q: Let f (x, y ) be a function and fxx = x + y, D (x, y ) = fxx fyy - fxy fxy = x - 3y2 . Then what is…

A: NOTE: Since we can solve one problem at a time, we have solved the first one. Kindly resubmit the…

Q: A: pp. A: px p. . A: pp(3)x3 + p(1)x.

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 9. Let A=span{v = (-1,–1,2), i = Projau. (2,3,0)} and w (1,2, 3). Find

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Q: Suppose SR" is convex. Show that cl(S) is also convex.

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Q: Let (G (1,-1,i,-i),.) then Evagcent ()[G:c(a)] = 2 3 1

A: We will use the following results i) Any group of order 4 is abelian group. ii) Every element of…

Q: Which of the following points is closest to (1,0, 1,0, 1, 1) using Hamming distance? O (1,1,1,1,1,0)…

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Q: 3. Let Path A denote the straight line segment from (0,0,0) to (1,1, 1). Let Path B denote the…

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Q: 5. For which value of x do the following vectors form a linearly dependent set in ¹ X₂ G

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Q: 2. Let E denote the parallelepiped with corners (0, 0, 0), (1, 2, 1), (2,3,0), (-1,0, 1), (3, 5, 1),…

A: According to question,Given Corners of parallelopiped,x1, y1, z1 = 0, 0, 0,x2, y2, z2  = 1, 2, 1,x3,…

Q: graph'the Sorution to the follow imy inginequratityon animber line nur (x-2) (x+5) z O

A: Solving the problem by doing the graph.

Q: The value y (in 1982–1984 dollars) of each dollar paid by consumers in each of the years from 1994…

A: It is a time series data, so we convert the year in periodsEntering the data in excel as shown below

Q: Consider the Simple Linear Model: 4 = Bo + Biz, + e, where i = 1,...,n, and e ~ IID(0, o?). Suppose…

A: Simple linear regression model: A simple linear regression model is given as y = b0 + bx, where y is…

Q: Find the absolute maximum and minimum values of f on the set D. f(x,y) = 2x3 + y4 + 1,  D = {(x,y)|…

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Q: 22. Let v₁ = (1, 6, 4), v₂ = (2, 4, -1), V3 = (-1, 2, 5), and W₁ = (1, -2,-5), w₂= (0, 8, 9). Use…

A: Given vectors are Here observed that So we have each of .In other words ,

Q: (4) 2 What is the square of the (minimum) distance between W and P? Let W Span< = -2 be a plane in…

A: Given that

Q: What would be the linear equations for the functions, &amp; what would be the graphs?

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

Q: 8. If the graph of h(x) goes thro following statements are true fc

A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…