Show that gcd(a,n)=1 if these exist m and k such that ma+nk = 1.

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A: 1. d1(x,y) = max1<=i<=n |xi - yi|                  >= 0 and      d1(x,y) = 0     => max1...

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Q: Мaximize z = 3x1 + 5x2 subject to: 4x] + х, < 25 2х, + 3x, < 15 with х, 2 0, х, 2 0.

A: To Maximise Z = 3x1+5x2subjected to : 4x1+x2 ≤25                         2x1+3x2≤15     with x1, x2 ...

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Q: Evaluate. Express result in Rectangular Form correct to 3 decimal places. z = log(1-5i) (2 + 4i)(1-2...

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Q: Question 2: The linear transformation R : R* H R° is the rotation about the vector 10 1 of with the ...

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Q: Express the following compiex numbers in tue standard form and also find its conjugate: V5 + 12i + V...

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Q: Perform tne Laplace transform of the F(s) column then substitute the value t=O and select the approp...

A: Given F(s) = 4s+5(s-1)2(s+2)

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Q: : Find the length of the following parametric curve. x = 6 + 1", y = 1 + 7t21/2, 0 st s 2.

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Q: F(s) f(t); t= 0 A.0 B.9| s2 + 9s + 6 2. s3 + 4s² + 3s С.2 D. 1 Е.4

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Q: 4=6xt -11 t.

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Q: Solve Laplace's equation = 0, 0 0). Assume that u = 0 on the vertical surfaces at x = 0 and r = 1, ...

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Q: 3. Consider the following simple statements. p: The boxing game will be shown on GMA network. q: The...

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Q: onsider the initial value problem f + 2y = 12t, y(0) = 6. a. Take the Laplace transform of both side...

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Q: Discrete Math Let k be a positive integer. Use induction to prove that (k −1)^(n+1) +k^(2n−1) is di...

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Q: Simpli fy, (1 – i) (2 – i) (1+ 3i) (2 + i) (1+ i)

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Q: (3.1) Consider the following differential equation 6x + 7y + 53 4x + 3y + 27 A change of variable th...

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Q: 6. Taking the domain of discourse to be the integers, decide whether each of the following predicate...

A: Given: Predicates, a) ∀x∃yx+y=2 b) ∀x∀y∃zx-y=z2 c) ∀x∃y∃zx-y=z2 d) ∀x∃yx=y+3∧2x=y-6 To determine: To...

Q: An electronics retailer list the sales (in thousands) of certain products in three cities for the pr...

A: City 1's total sales = (76x220 + 73x346 + 61x126 +  66x1971)/1000 thousand dollars      = 179.75 tho...

Q: If A and B are similar, then there exists a matrix P such that B* = P'A^P. Use this fact to find B, ...

A: Here we need to find B5  using relation Bk =P-1Ak P  

Q: dx 1. dt xt x(0) = 1, solve for x(0.3) when h = 0.1 I| -

A: Given function is, dxdt=-12xt,   x(0)=1, h=0.1 and we need to solve, x(0.3)   Here we have, (t0, x0...