2. For n > 0, let F(n) be the number of strings of length n over an alphabet of size k. Derive a recurrence relation for this function, and then prove that F(n) = k" using the method of generating functions.

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A: Please post the multiple question separately.Here I solved first question as per our policy.

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A: 1b

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: 110°

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