Find the general solution with the given set of auxiliary roots. m = 0, 3,-1,1± √√√2 A B C y=c+ce 2 y=c₁ +c₁₂e 3x + ce 3 3x -X -X +ce to 3 none of the choices +(c_cosx+c -X (1+√2) x 4 sinx) e √2x (1-√√2) x 3x 1 y=c₁+c₂e³+c₂e²+(c cos √2x+c sin√2x)e² D 1 2

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A: We use definition of eigenvalue and corresponding eigenvector of matrix A.

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Q: 12. (D²-3D+2) y = e²x/(1+e²x). 12 (D2 201

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A: We find required integral by parametrizing x and y .

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Q: I'm confused on how to do the second part of the problem still.

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A: (a) For every m ∈ Z, 5 | (m2 −m2) = 0      Hence, m ~ m for all m ∈ Z      Hence, ~ is reflexive.

Q: 5) Consider the following matrix: A = 1 2 20 -1 1 030 (i) Compute the adjoint of A. (ii) Use this to…

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Q: ΤΟ 1 10 1 1 1 1 0

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A: We can find the equation of the given graph.

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Q: 11) Test the series for con convergence E (-1)^ sin² (3n) n n=1 = Compute the derivative d br an…

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Q: Find the equation of the plane P spanned by vectors  v = (2,1, 3)  and w = (1,2,-1)  containing the…

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Q: d) x" - 2x² + 2x=0, e) x" - 2x' + 2x = e-t, x(0)=0, x'(0) = 1. x(0) = 0, r' (0) = 1. f) x" - x' = 0,…

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Q: e² dV where E is enclosed by the paraboloid z = 5 + x² + y², the cylinder Evaluate x² + y² = 5, and…

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Q: is that The necessary and sufficient condition that a curve is a plane curv [; : ;) - r = 0.

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Q: (b) xy' + 3y = 4x, y(2) = 6

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Q: a. C. 2 1²2 [132] 0 b. 2 d. -2-1

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Q: Evaluate B (xy + yz + xz)dV B {(x, y, z) | 0 ≤ x ≤ 10,0 ≤ y ≤ 10,0 ≤ z <10}.

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Q: 25. Let f: R→ R and let f(x) > 0 for all x € R. Show that f(x) is strictly decreasing if and only if…

A: We use the very basic inequality to solve this problem. Note that if x&lt;y then 1/x &gt; 1/y. This…

Q: 15. Determine whether the function f: Zx Z → Z is onto if a) f(m, n) = m + n. b) f(m, n) = m² + n².…

A: Solution given below.

Q: vector u. 30° x y v b a 13       Question content area bottom Part 1 The horizontal component of u…

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Q: Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F…

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Q: The linear tranformation L defined by maps P₁ into P. (a) Find the matrix representation of L with…

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Q: If f is the Fourier series of g(x)= √3, [16-², -4 < x < 0 then 0≤ < 4 f(2)=¯ + 2 [(0) cos (1 x) + (…

A: Given:  gx=3,   -4&lt;x&lt;016-x2,   0≤x&lt;4To do:  Find Fourier series of g(x) and call it f(x).…

Q: Discrete Mathematics/Graph the dual of a planar graph be planar? Theory: Must

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Q: QUESTION 11 Suppose a triangle has the following vertices: V1 = (-2, 3) v2 = (4, 5) V3 = (3, 3) What…

A: A barycentric coordinate system is a coordinate system in which the location of a point is speciied…