Solve the homogeneous system yi = 2y1 – 5y2 2 = Y1 – 2y2 with initial values y1(0) = 1 and y2(0) = -1. %3D - %3D

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Q: ollowing formula f(x) = lim n-o x" + 1 R: f(x) € R}. Calculate f(x) for all a E D and determine

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: y" + 9y = 40e*; y(0) = 5, y'(0) = -2.

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Q: -5 2 -3 In R° let z = 3 X = x= -1 and y = 2 6. 4 . Write z as a linear combination of x and y.…

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Q: 12. Consider the solid Q bounded by the surface of equation z = x*+ y° and the plans z = 4, yv3 = x,…

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Q: Find the convolution of the two functions: f (t) = 2t and g(t) Cos 3 t. %3D

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Q: E=D{(r,0,2): 0s es n, Os zs 1, Vzs rs 1.

A: Given,          E=r, θ, z : 0≤θ≤π, 0≤z≤1, z≤r≤1 To find:           ∫∫∫Ey2ex2+y23dV

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Q: 5x sec Suppose m' is continuous at r = 0 and m'(x) if x > 0. log3 (2.x + 1) + cosh r If m" (0) = 0,…

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Q: Prove that l17 is the only prime number of the form n²- 64.

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Q: Find the number of G-orbits in X := {1,2,3, 4, 5, 6, 7, 8, 9, 10}, where G < S10 is the subgroup…

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Q: (b) Find the matrix representation [J]Bn+1,Bn• ght as Mon onas hUiver Unn mersi niversi ash ve

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Q: wouldn't there be a t in the second term of the general solution?

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Q: Sequences and Serles 2 9. 18 144 1. What term comes next in the sequence? 23 456 27ו 81 144 (d) None…

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