For which value of a the system of ODES —D У1 + ау2 + (е -У — 1), У2 3D —ауј — У2 has an unstable focus at (y1, y2) = (0,0)

Q: Create 2 sets, one linearly independent and one linearly dependent, by replacing the x with a…

A: Step: 1 Linearly Dependent: - A set of vectors is called linearly dependent if at least one element…

Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

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Q: hat is the dependent variable in y= -

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Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: 4. center: (-1,-3); vertices: (-8, –-3) and (6,-3); co-vertices (-1, –1) and (-1,7) 5. Vertices: (0,…

A: Topic = Hyperbola

Q: general solution to

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Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: Let U=(-4, 3, 3) and V=(2, 1, 1). Find (2U+V), *. | (then find | (2U+V

A: Find 2U+V and it's magnitude.

Q: Find f, and f, and evaluate each at the given point. ху f(x, y) = (5, -5) x - y f,(x, y) = f,(x, y)…

A: Given; f(x,y) =xy/(x-y); (5,-5)

Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

A: topic- sketch of a figure distance between x=3 and (-1,4) is 3-(-1)=3+1=4 x-coordinates of missing…

Q: Which set of ordered pairs (�,�)(x,y) could represent a linear function? A=   {(−6,0),  (−3,3),…

A: The given set of ordered pairs,We have to find the set of ordered pairs that represent the linear…

Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

A: A linear combination is very significant in linear algebra. When some given vectors are multiplied…

Q: If the pre-image point is A (1, -5) that follows the rule (-y, a+ 2) then what is the ordered pair…

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Q: What is the point of intersection of the two functions? 12) y--3x-23 -2r+4y-6 A) (-2, 3) C) (-3, 2)…

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Q: Write [0, 5, 1, -7, 0] as a linear combination of [0, 1, 2, 0, 0]; [0, 1, 0, 0, 0]; [0, 1, 0, 0, 1];…

A: We want to write [0, 5, 1, -7, 0] as a linear combination of given vectors.

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: The standard form of the equation of a line going through (3, -3) and (0, 2) is: 5x - 3y + 6 = 0 Oy…

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Q: Suppose the solution set of a certain system of linear equations can be described as x₁ = 5+ 3x3, x₂…

A: Given,The solution set of a certain system of linear equations can be described as with  free. Aim:…

Q: A company’s profit increased linearly from $6million at the end of year 1 to $14 million at the end…

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Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: Express the following as a linear combination of u (2, 1, 5), v (1,-1, 4) and w = (6, 8, 6). (9, 14,…

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Q: Which of these planes pass through the origin? Зх — 5у+ 2z 30 5х — 3 %3D 0 = 4х + у %3D 0 — 4х — 5у…

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Q: Find u•v, V•V, ||u||^2, (u•v)v, and u. (5v). u=(2,0,-3,4), v=(0,5,4,5)

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