help please 2) Estimate the number of inputs that could be processed in the following cases:(a) Suppose that a particular algorithm has time complexity T(n) = 3 x 2", and that executing animplementation of it on a particular machine takes t seconds for n inputs. Now suppose that weare presented with a machine that is 64 times as fast. How many inputs could we process on thenew machine in t seconds?(b) Suppose that another algorithm has time complexity T(n) = n², and that executing animplementation of it on a particular machine takes t seconds for n inputs. Now suppose that weare presented with a machine that is 64 times as fast. How many inputs could we process on thenew machine in t seconds?(c) A third algorithm has time complexity T(n) = 8n. Executing an implementation of thealgorithm on a particular machine takes t seconds for n inputs. Given a new machine that is 64times as fast, how many inputs could we process in t seconds?

To estimate the number of inputs that could be processed in each of the given cases, we'll first…

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