Using the for-loop function and the equation of the area of a triangle, make a plot of the area of the triangle for a given value for the base and for a range of values for the height. the base of the triangle is 5m and its height range from 2m to 15m. to obtain full credit, the plot must display a title, x-label and y-label.

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)?