6 Numerical Methods: Root-Finding Algorithms Task: Refer to Question 6 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qo Hazb9tC440 AZF/view?usp=sharing 7 Group Theory: Sylow's Theorems Task: Refer to Question 7 in the provided document. Link: https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing

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Q: 6

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A: Note: General solution= Complementary function (C.F.) + Particular integral (P.I.)

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A: f(x)=x2+7x+12x2+5x+6​=(x+3)(x+4)(x+2)(x+3)​=x+4x+2​, given x=−3g(x)=x+4x+2​ Domain of f(x) is…

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A: Step 1:  Step 2: Step 3: Step 4:

Q: 0 Let A = Use mathematical induction to show that An == [ 10 n 1 for all n≥1

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Q: List all possible groups of order 4.

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A: From the question, we have the following values:A = 61B = 554C = 7234D = 0.61E = 5.54Weight of each…

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Q: 5.10. Discuss the continuity of the function f(z) = at the points 1, -1, i, and -i. 之一 21 3, |2 = 1

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