15. For the following power series, a) find the series’ radius, R, and its interval of convergence. (x-2)n a) Σ=o- 10n

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A: Explained below

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Q: 1) Write the Taylor Series for f(x) = x³ about x = -2 as Сп (x+2) ". n=o First 5 terms.

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Q: Graph y² x² 25 49 = 1. Label the vertices and foci on the graph.

A: Hyperbola

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Q: Show

A: Please refer to the image below

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