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: Find || projau || if u = (2,4) and a = = (3,-1). NOTE: Enter the exact answer or round the exact…

A: projau=u.aa2a   For two vectors u=u1,u2 and a=a1,a2a.u=a1×u1+a2×u2   For any vector x=x1,x2x=x12+x22…

Q: 6)- (-1)우. %3D

A:

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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A: If we have two real numbers x and y  x/y=z ; Only is yz=x Similarly

Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

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A:

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A: Given two-points

Q: Let a = – 4i – 5j and b – 7i + 3j. Find a - b

A: we have  a→=-4i→-5j→ and b→=-7i→+3j→

Q: H- V-7+24i

A: 4. We have to find the roots of the following: -7+24i Let us consider, -7+24i=a+bi ; (a and b are…

Q: 5) x + 2 :+2 Find de Also, show a check.

A: Topic: integration

Q: Let á (5, 5) and 6 = (- 3, 1). - Find ā · 6

A:

Q: Let a = (-1,0, 5) and 6 = (3,-1,0). Find à x 6. < V

A:

Q: Explain the and differentiate Coordinate between three yotem- Alko describe their application and…

A: In three-dimensional space, There are Three Axes. The Cartesian coordinate system is based on three…

Q: A(1,2), В(—1, —-1)

A:

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A: Given y(x)  we have to define of y of x

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A: In question, We'll discuss about interpretation of r i.e. correlation coefficient.

Q: Let u = (5, – 3) and v = (- 1, – 5). Express u + v in the form (a,b). u + v = (Simplify your…

A: u = ai +bj v = ci + dj  then u +v = (a+c) i + ( b +d)j

Q: explain the pythagorean theorem, its nature and application.

A:

Q: What is the symmetric property

A: The below explanation is the answer.

Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).

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A: We have to check f is derivable Or not

Q: For u =(5,-5) and v = (-3, 2) find u. v. u v = 2.9 u•v=

A:

Q: ;5i (b) Show that ¿" is real, even though i or 5i is not.

A: We have i5i Now, we can write ab=elnab Also, lnab=blna , therefore: ab=elnab=eb lna So, using ab=eb…