What reasons can you provide to support your choice in the following scenario? Situation: You are discussing a satellite research assignment with one of your classmates. The assignment requires you to determine the type of satellite that is involved in most of the daily tasks you perform. You have decided to focus on communication satellite tasks, but your classmate says navigation satellites relate to more day-to-day tasks.

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)?