Show that we can use a depth-first search of an undirected graph G to identify the connected components of G, and that the depth-first forest contains as many trees as G has connected components. More precisely, show how to modify depth-first search so that it assigns to each vertex an integer label v. cc between 1 and k, where k is the number of connected components of G, such that u. cc = v. cc if and only if u and are in the same connected component.

Acomputer is a multipurpose device that accepts input, processes data, stores data, and produces output, all according to a series of stored . the processing unit of most modern computers is a(n) . the instructions that tell a computer how to carry out a task are referred to as computer , which are distributed as software. computers run three main types of software: software, system software, and development tools. an example of system software is a computer system, which is essentially the master controller for all the activities that a digital device performs. digital devices are constructed using tiny electronic components that represent data bits as electrical signals. the system unit houses the system board, which contains several circuits made from semiconducting materials. computers come in three popular form factors: component, , and slate. many of today's digital devices operate on battery power supplied by ion batteries. battery life and lifespan can be extended by following good battery management practices.

When early motion pictures played in movie theaters, they were often accompanied by live organ or piano music. which of the following are the most likely reasons that this happened? (select all that apply). the music was provided to distract audience members from the loud sounds made when filmstrips were changed. the music accompanied the movies because the movies were silent and audiences were used to hearing music during plays in theaters. the music usually was played before, and sometimes after the movie, as an alternative form of entertainment. the music viewers to interpret the dramatic action in the films.

Mastercard managers are motivated to increase (1) the number of individuals who have and use a mastercard credit card, (2) the number of banks and other clents who issue mastercards to customers and/or employees, and (3) the number of locations that accept mastercard payments. discuss how mastercard could use its data warehouse to it expand each of these customer bases.