a)Write a Python function product(a, b) that recursively computes and returns the value of a times...

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a)Write a Python function product(a, b) that recursively computes and returns the value of a times...

a)Write a Python function product(a, b) that recursively computes and returns the value of a times b. Use only the addition operator, and do not use any loops. You can assume that both parameters are non-negative integers.

b)Use induction to prove that your algorithm from the previous part is correct

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