NCS2202

Algebra

1. [20 points] Mr. Optimal wants to ?nd the values of x ∈ [0,2π] that minimize the functions f(x) = sin(x), g(x) = 5sin(x), and h(x) = sin(5x) using Generalized Pattern Search. Please sort the functions (i.e., f, g, and h) based on the dif?culty of ?nding the desired value using Generalized Pattern Search, and as usual, please explain your answer. 2. [10 points] Is the following problem LP? max x·cos(a) + y·cos(b) for a particular a,b ∈ [0,2π] subject to 2x + 5y &l ...