5. Find the solution of the differential system 1 d 4 X + -3 t 2 ), x(0) = 0, y(0) = 1, -2t -1 e dt

Q: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

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Q: Question 16 Calculate the sum of x, y, and z in degrees. [Image 16 ] (4z + 6)° 106° 2y O 124 O 99 O…

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Q: 13 Graph f(x) = 3ª, and use transformation to sketch the graph of a) g(x) = 3-* b) h(x) = 3"-2

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Q: Determine the Fourier series for the periodic function: which is periodic outside

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Q: 3. The GCF of any two distinct prime numbers is 1. (Distinct they are not the same number) means

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Q: Use the Laplace transform to solve the given initial-value problem. y" +y = 2 sin(2t), y(0) = 11,…

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Q: Write the KKT conditions and find the optimal solution (x,y) for the following problem. Minimise 2x…

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Q: Find the general solution: (x² D² + 6xD+6I)y=x². Select one: O a. y = a2 %3D 20 O b. y = (c1 + c2…

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Q: Find a series solution in powers of xof the differential equation. y' +xy' + (2x +1)y = 0

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Q: {"p} : Which of the sequences {a,} converge and which diverge: n+(-1)" 1-n? 1. а, 3 2. а, 70 – 4n? n

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Q: I. Consider the permutation (1 2 3)(4 5)(1 25 4)-2. 1. Express as a product of disjoint cycles. 2.…

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Q: Fix k, n E N with n > 2 and k <n – 2. Prove that: | )-(".) · ) (:) ) (^) = (":") 2 + k 2 n – 2 n n +…

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Q: If f(x) = 3x2 - 4x, 0 sxs 3, evaluate the Riemann sum with n = 6, taking the sample points to be…

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Q: fond ft8> 1 in the domain (3-8) (3-) 1< 13-91<2

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