Determine whether the Diophantine equation 15x + 53y = 17 is solvable or not. If it is solvable, find its general solution.

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Q: Consider a dynamical system given by X₂+1 ,which one of the following is X11? X11 = X11 = X11 = X11…

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Q: Use Mathematical Induction to prove 1.n + 2 (n -1) + 3(n – 2) + ...+ (n – 2) .2 +n.1 = 1/6 n (n+1)(n…

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Q: (a) ( Consider the following proof with missing parts (indicated by bold, underlined digits 1. 2. 3.…

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A: Our objective is given below:

Q: Please no written by hand solutions

A: I have explained everything with in the solution. Please go through that.

Q: differential equations please solve questionnnnnnn 4

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A: Suppose λ≠0 is an eigenvalue of AB with eigen vector v. Then B(ABv)=λBv⇒(BA)Bv=λBv. Here Bv≠0,…

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Q: "There exists a set crue or false? stify

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Q: Q9: Use L{1}={coswt} = s²+w²1 1-cos2t -¹ {53 +45-} = (A) ² (B) 2 (1-cost) (C): s³+4s 4 9 to find…

A: L-11s3+4s

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Q: f(x)= x-4x³-32x² x³+2x²-24x

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Q: 5. Let T: V→ V be a linear operator on a finite-dimensional complex inner product space V. Show that…

A: Useful result:

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Q: 5. } -2 f(x).dx where −x,x20 f(x) = {-5²-3,220} x³ + x,x≤0

A: ∫-23fxdxfx=-5x4-x,x≥03x5+x,x≤0

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Q: s]: Two vectors are à = 2x + 4ỹ − 32 and B = −7ŷ – 2. Find: Question #1 (i) The magnitude of vectors…

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Q: 5. Use the Laplace transform to find the output of the system described by the following…

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Q: 17-20 Find the extreme values of f subject to both constraints. 17. f(x, y, z) = x + y + z; x² + z²…

A: Find extreme values of f(x,yz,z)=xy+yz subject to the constraints xy=1 i.e., xy-1=0 and y2+z2=1 i.e,…

Q: Prove by Contradiction that √6 + √8<√2

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Q: 1. L -2 1-² / 0²2²² L (s(s+1)] 3. L-¹ se ²² { 3² +16} -4. L-1/66-³²1 5.L-¹ [126] [5²-9) 6. L-¹ 7.…

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Q: eeeeeeeeeeeee the area en figure. 13 cm 狄 5 cm 19 cm 8 cm 15 cm 17 cm

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Q: e (1) Given the following clauses: (PVW)^(PVQVT)^(-S)^(PVQVS)^(-QVT)^(-T) ^ (W) Perform the smallest…

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Q: Let S = Qn(0, 1) and if m, n are coprime positive integers, define f(m/n)= 1/(m + n) (a) Prove that…

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Q: 1. Using the following values of x and f(x) X 0.5 f(x) a 0 1 1.0 0 1.5 - 554 The integral | = 1.5…

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Q: Part 1: What are the first 5 terms of the sequence an = 2n - an-1, where a1 =  5? Show all work.

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Q: Proceed as in this example to find a solution of the given initial-value problem. 2x y" - 4y = e²x,…

A: y''-4y=e2x , y0=1 , y'0=-6 To Find: Solution of the above problem.

Q: 3. Let A, B, C be sets. Provide a proof or a counterexample for each of the following statements. a.…

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Q: (10). Find the in-degree and out-degree of each vertex of the following directed graph G. V4 V2

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Q: 5 -5 -5 -1 4 2 the complex eigenvalues are {2+i, 2-i} 3 -5 -3 Please find the complex eigenvectors…

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