The system x' = 4y + 10x² - 39x + 34, y' = 4xy + 3x - 14, has a critical point at (2, 1). The change of variables u = x - 2, v = y (-| A help (matrices) 1 brings the critical point to the origin. Then the linearization in terms of u and u is:

Q: Given u = (-3, 4) and v (6,5), =

A: Given query is to perform indicated vector operation.

Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: = 5i + 4j and v=4i - 3j, determine -9u - v. Given u O-9u - v = -49i - 33j O-9u - v = -40i - 42j O-9u…

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Q: Given u = 7i+9j and v7 = 5i - 10j, find u— v. Give your answer in the form ai + bj.

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Q: Perform the calculations given that u = (9, 8) and v = (5, 7). Find 4u - 5v. ... 4u - 5v =

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Q: Let u = 4i - 9j, and v= - 4i +4j. Find v- u. v-u = (Type your answer in terms of i and j.)

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Q: Perform the calculations given that u = (3,5) and v = (2,3). Find 8u + 4v. 8u + 4v = ( (Simplify…

A: Recall: Let u→=<u1,u2> and v→=<v1,v2> be two vectors ,then             u→+v→=…

Q: OLet U=(2,-37, V=Fl,5), W=(4,-62 Find U•V

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Q: Given u = (-2, 4) and = (1, 6), find 3(uw).

A: The vectors are given by u→ = -2, 4w→ = 1, 6 To evaluate: The value of 3u→·w→

Q: Zxx = x²zyy, find Canonical form

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Q: Check if u = je-t is a solution of the equation: u, + u,, = (r² + t²)u.

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Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

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Q: Determine values of x and y so that v · w = 0 and v · u =

A: There are vector representation given as, v=x1y , w=x-20  and u=0-9y. To find the value of  x  and y…

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). - 2ü + 20 (-8,-12 - 20)

A: Given :-  u=<3,-4,-10>  v=<-7,-2,0>  To find:-  2u+2v

Q: Given u = 5i + 4j and v=4i-3j, determine -9u - v

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Q: 0 b and B: b Let A = Show AB = - BA.

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Q: i Match each line, ray, or segment with the term that best describes it. B Radius Chord

A: The answers are given below

Q: -2u X = u +

A: to find the linear combination, draw a vector 4u and 4v

Q: Find the following.           u = ⟨0, 1⟩, v = ⟨3, −3⟩

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Let v = (5, 8) and w = (4, 5). What is the dot product v · w?

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Q: Find u· v. u = (-10, 2) v - (1, 5) u v =

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Q: Given u = (−4,7) and v = (5,2), compute the following. Give your answer in the form . a. х b. u - 5u…

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