Evaluate the summation for the indicated value of the variable. 1(1) + 2(2!) + 3(3!) + 4(4!) + m(m!); m = 3

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Q: 2) Prove that: (a) A × (BUC) = (A × B) U (A × C); (b) (AUB) × (CUD) = (A × C) U (B × C) U (A × D) U…

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Q: Prove that the only prime of the form n² - 4 is 5.

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Q: Write the function f (z) = z³ + z + 1 in the form f (z) = u(x, y) + iv(x, y).

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Q: (a) Use Newton's method to find the critical numbers of the function f(x) = x6 − x4 + 2x³ − 3x…

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Q: 1. Verify that (√2-i)-i(1-√√2i)=-2i.

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Q: 3.6. If |z| = 2, use the triangle inequality to show that |Im(1 −z+z²)| ≤ 7 and |z¹−4z²+3| ≥ 3. 3.7.…

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Q: Use Euclid's algorithm to find gcd(340, 144). Hence find Icm (340, 144).

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Q: 2.3. Given that $(0)=1₁ £ (1) = 3, f(3) = SS, find the unique Polynomial of degree 2, which fits the…

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Q: 2. PAST PAPER QUESTION (2018): Let f be a function that satisfies the following properties: f(x + y)…

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Q: (a) (b) (c) (d) (1+2i) ² 2 1/(1+i) √3-4i ein/4

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Q: If G is a group of odd order and x ∈ G, show that x-1 is not in cl(x).

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