1) (a) Determine the simplest form of the expansion of (2x4 - 1) 4. 4x (b) Determine the coefficient of the term involving x²y in the expansion of (2x - y)⁹.

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Q: (e) Prove that the quotient ring R[x]/(x² - 1) is isomorphic to the product ring RX R. I

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A: Step 1: Step 2: Step 3: Step 4:

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Q: 1. For what values of x does the power series converge? Use ratio test. Σ 2thr" 7=0 2

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1: Step 2: Step 3: Step 4:

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Q: ŷ = 0.524(2.645)x  ŷ = 2.645(0.524)x  ŷ = 2.645x + 0.524  ŷ = 0.524x + 2.645

A: Step 1: Reference : Graphing calculator, Scatter Plot

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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