Suppose we are using proof by induction to prove the formula for the sum of the squares of the first n positive integers: ∑nj=1j2=n(n+1)(2n+1)6 which of the following is the most appropriate base case for an inductive proof?

Assume that you have an sorted array of records. assume that the length of the array (n) is known. give two different methods to search for a specific value in this array. you can use english or pseudo-code for your algorithm. what is the time complexity for each algorithm and why?

Read “suburban homes construction project” at the end of chapters 8 and 9 (in the textbook) and then develop a wbs (work breakdown structure) in microsoft excel or in microsoft word (using tables)

3. ranga ramasesh is the operations manager for a firm that is trying to decide which one of four countries it should research for possible outsourcing providers. the first step is to select a country based on cultural risk factors, which are critical to eventual business success with the provider. ranga has reviewed outsourcing provider directories and found that the four countries in the table that follows have an ample number of providers from which they can choose. to aid in the country selection step, he has enlisted the aid of a cultural expert, john wang, who has provided ratings of the various criteria in the table. the resulting ratings are on a 1 to 10 scale, where 1 is a low risk and 10 is a high risk. john has also determined six criteria weightins: trust, with a weight of 0.3; quality, with 0.2; religious, with 0.1; individualism, with 0.2; time, with 0.1; and uncertainity, with 0.1. using the factor-rating method, which country should ranga select? why? (2 points)