Let S = Z[X] (x³ + x + 1) How many elements does S have? Justify your answer. Is S a field ? Justify your answer.

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Q: Z Show that the complexfunction f(z) = ² +4 Z(Z-21) have a removable discontinuity at z=2i

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Q: Let G = &lt;a, b |a2 = e, b2 = e, aba =bab&gt;. To what familiar groupis G isomorphic?

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Q: .... and y Q6: f(z) = 62² - 27- 4i|z| is differentiable only when x = ......

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Q: e. S. 1. Question # 1: Consider the function f(x)= xe. In the following, the interpolating…

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Q: 74 +4 Z Show that the Complexfunction f(z) = Z(Z-21) havearemovable discontinuity at z=2₁

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Q: Consider the differential equation x²dx- ydy=0 with the initial condition y(0) = 2. Approximate the…

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Q: 2. Let f (a, b)→ R be a function and suppose there exists constants M > 0 and a > 1 such that |f(x)…

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Q: Z" +4 have Show that the complex function f(z) = Z +4 Z(z-21) Vemovable discontinuity at Z=2i а

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Q: 2 b -3 1 0, where a, b and c are the roots a Consider, A = 0 0 C of the equation x³ - 3x²+2x-1=0. If…

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Q: 2 2 1 2 Ans: F(W)=4(sinc²(W) - 2sinc(2W)) +t

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Q: Find the global extrema of f(x, y) = x3 - xy - y2 + y on the square [0, l] x [0, 1]

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