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: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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

A: Solution:-

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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: 9- (-2 J3 + ja) * Rec tangular Form

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A: Let's find.

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: ) Di Pfeventiate (It n²)" with relpect to u?

A: Let  u = (1+x2)n and v = x2 Then we have to find du/dv   Since ,  du/dx = n(1+x2)n-1(2x) and dv/dx =…

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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→

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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: O Ex press the following in the Rorm atib : (i) (l+i) (1-2i) I+ 3i 34i (1-i)? 2+Bi 2 (ii) 3+4i 2 -4i…

A: Complex number: A number of the form z=x+ιy, where x and y are real numbers, is called a complex…

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

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A: Let's find.

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: ..=A+B Ā +B al. B = 2ī + 2j - 2K 3Ā = -i- 3j- k US 1/

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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

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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…

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Q: O Ex press the following in the form atib : (i) (1+i) (1-zi) I+ 3i 34i (1-i)? (iii) 3 1+i 344i 2-4i…

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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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