Use the field norm to show: a) 1 + √2 is a unit in Z[√2] b) −1+√√-3 -1+√√-3 2 is a unit in Z [ 1+ √−3 ] 2

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A: Given differential equation  y2 dx +xx+y dy=0

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Q: 2. Determine the real root of f (x) = 5x³-5x² +6x-2 (a) Graphically;

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Q: f(x) = (x-3) (x + 2) (x + 5)

A: The given function is f(x)=(x-3)(x+2)(x+5)

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Q: For any set SCR, show sup(S) = -inf (-S).

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Q: .45 x 10^8 L/hr x 0.0221 sec = ? dL b. 2.1 x 10^-2 mL/s x 12.00 hr = ?L please show explanation.

A: a. Given 4.45×108 L/hr ×0.0221 sec 4.45×108 L/hr ×0.0221 sec=4.45×108 Lhr ×0.0221 sec=4.45×108 L3600…

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Q: Approximate the integral using (a) the midpoint approximation M₂, (b) the trapezoidal approximation…

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Q: 10. Suppose p is false, q is true, r is false. Find the truth value of (pV~q) Vr

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Q: Complex Variables as: Given the following complex function expressed w = f(z) = 6z² + 8z +20-j22 a.…

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Q: 1. Consider the functions f(x, y) = In (9 — x² - y²) and g(x, y) = √√4x² + 4y². a. Give the standard…

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Q: How to get Rav and Rah from this equation 76 Rbv +12 Rbh =8550 eq.1 76Rav -12 Rah=1550 eq.2 48Rav-24…

A: The given equations, 76Rbv+12Rbh=8550   .....(1)76Rav-12Rah=1550   .....(2)48Rav-24Rah=400…

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Q: Approximate the integral using the indicated rule. 12 0 x2 dx; midpoint rule; n = 6.

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Q: 7 .  Use Simpson's rule with  n = 4  equal subintervals to approximate the following. (Round your…

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Q: Complex Variables as: Given the following complex function expressed w = f(z) = 6z² + 8z + 20-j22 a.…

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Q: Consider the following matrix A and it's inverse A-¹, 0 1 0 200 1 1 A = " || B||4,4 = A-¹ = = Let…

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