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Suppose there is a relation r(a, b, c) with a b+-tree index with search keys (a, b).1. what is the worst-case cost of finding records satisfying 10 < a < 50 using this index, in terms of the number of records n1, retrieved and the height h of the tree? 2. what is the worst-case cost of finding records satisfying 10 < a < 50 and 5 < b < 10 using this index, in terms of the number of records n2 that satisfy this selection, as well as n1 and h defined above? 3. under what conditions on n1 and n2, would the index be an efficient way of finding records satisfying the condition from part (2)?

Suppose a cpu with a write-through, write-allocate cache achieves a cpi of 2. what are the read and write bandwidths (measured by bytes per cycle) between ram and the cache? (assume each miss generates a request for one block.)

Write python code that prompts the user to enter his or her age and assigns the user’s input to an integer variable named age.