(x2D2 - 3xD + 41)y = 0, y(1) = -n, y'(1) = 2n %3D

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Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

A: Given: Fn is a Fibonacci sequence, with F0=1=F1. To prove: For every integer n≥0, gcdFn+1, Fn=1.

Q: 4. Fill in the blanks Let y be a solution of the differential equation + (1+)y = , where x > 0 such ...

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Q: press each statement in “if-then” form.   1.     Every multiple of 4 is a multiple of 2. 2.     W...

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Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)²

A: Formulas of derivative and integration  ddxxn=nxn-1∫xndx=xn+1n+1+C∫1x2+a2dx=1atan-1xa+C

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In (tanh...

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Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogo...

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Q: 2. (a) Detennine the nullity and rank ef the following matrix: 1 10 0 0 0 1 -2 0 4 20 0 3 -2 1 2 2 0...

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Q: One solution of the differential equation is given. Find the general solution. 15y(4) + 8y) + 136y" ...

A: Homeogenuous differential equation

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Q: (8) If A is strictly dominant matrix, then || A l2= p(A).

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Q: (1) If A and B are positive semidefinite matrices, then the eigenvalues of A.B are all nonnegative. ...

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)²

A: Given differential equation is y'=y+4x2.....1. We have to solve the given differential equation 1. S...

Q: Q1)Evaluate the following integral: 2 1-x dx 1+x2,

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Q: 9 is a ge roup G, tl

A: d. TRUE If possible let n is not prime ω. G is cyclic ,G=n n not prime⇒n composite and n=pq where of...

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Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

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