Do not use a calculator in this question. (4 V5 – 2)? V5 – 1 CamScanner로 스캔하기 Express in the form pV5+ q, where p and q are integers.

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Q: 4) -10k +7

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A: To transform the following system YsUs=100s2+5s+100  

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Q: that Find the implhes positive N such h > N ) lim E = 0.01 h -a 00

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Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

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Q: =-rگت( (1+ V5) )(n- 2) < fn (п— 2) Use induction to prove that 2 ((1+ |(n–1). for all n 2 3.

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Q: Problem 2 Find the QR-factorization of the matrix 1 0 2 2 1 A = 1 -2 -1 -1

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Q: O For the bvp d²y - 9y = 3x, y(0) = y(1) = 0 the Green's functions G(x, §) satisfies d²G(x,£) - 9G(x...

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Q: 2. + i sin 22 cos + i sin %3D Z1 cos 12 12

A: This is a problem of complex analysis.

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Q: 1. Let A = and B = For what values of t is 2A+B invertible? 2. Let n be a natural number and let A, ...

A: 1.)      A=2-131 ,   B= 012t2A+ B = 22-131+ 012tFor 2A+B to be invertible determinant of ( 2A+ B) mu...

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A: Given argument p∧q∨r~q∨~r

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Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

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Q: — 3x1 + х2 + 112х3 %3D 50 бх1 — х2 — х3 %3D 3 бх1 + 9х2 + х3 %3D 40

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Q: (a) Let A be an m × n matrix, and let B be the result of performing a single elementary row operatio...

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Q: -3 dx L-3 x(x+1) Jo² tan x dx 5.

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Q: Provide a proof by contraposition of the statement below. Prove that for any integer r, if a is odd,...

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Q: Determine the all the roots of z4 +1 = 0

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Q: 1$ A and B are positive semide are Lal allnegative all non negatie El gllpositve y noneofabove

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Q: 8. (logn) 1 find k, if it exists, sothat this converges n=2

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Q: Determine the all the roots of z4 +1 = 0

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Q: 19. A circular cylinder with horizontal bases has a right section area of 4TT in. It is inclined at ...

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Q: Show that G)-G)

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Q: Prove that for each n E N, (d) (n) e (d) dn

A: To prove, for each n∈ℕ, nφn=∑d|nμ2dφd. We know that the mobius function μn is defined as: μn=1if n=1...

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A: Given : f(x)=x3+x-3  [0,2] The mean value theorem states that for a continuous and differentiable fu...