Consider a variant of the array in previous problem. an array a[1: : n] has a property that it rst rises monotonically up to some point i then it monotonically decreases until some point j and then rises again. that is a[k] < a[k + 1] for all k 2 [1: : i 1] [ [j: : n 1] and a[k] > a[k + 1] if i k < j. can we still nd i in o(log n) time? if not what is the minimum time required?

Mr. johnson creates a game in which the players see the world from their avatar’s perspective. what genre of game is this?

Ap practice - performance task response the ap create performance task asks you to write about an abstraction that you developed and wrote into your code. most of the time that means identifying a function or procedure you wrote to "manage complexity" in your program. here is the actual prompt from the create performance task: 2d. capture and paste a program code segment that contains an abstraction you developed individually on your own (marked with a rectangle). this abstraction must integrate mathematical and logical concepts. explain how your abstraction manage the complexity of your program. (must not exceed 200 words) below is a segment of code from an "under the sea" program with a rectangle drawn around a portion of the code identifying an abstraction. imagine that you wrote this and are composing an ap response about how this abstraction manages complexity. (note: ignore the requirement that the abstraction integrate "mathematical and logical concepts" for this practice response. just write about managing complexity). explain how the abstraction marked with the rectangle in the code above manage complexity of this program. write your response here submit

Which analyst position analyzes information using mathematical models to business managers make decisions?