Verify that the nor operation is functionally complete using laws of boolean algebra using x and y input

The three logical operators used to write compound conditions are "and," "or," and "not." a: true b: false

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)?

Draw the resistor’s voltage and current phasors at t=15ms. draw the vectors with their tails at the origin. the orientation of your vectors will be graded. the exact length of your vectors will not be graded.