Part 1. Test the convergence of the following power series. If convergent, solve for the interval, center and radius of convergence. 1. n=0 1 (-3)²+n (n²+1) (4x - 12)"

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A: Find the term indicated in the expansion (x + 2y)6; third term.

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Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

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A: The previous solution is incorrect. Please follow this one.

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A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

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Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…