1. Describe algorithms for updating the shortest path distances from node s to every other node if we add a new node (n + 1) and some arcs incident to this node. Consider the following three cases: (1) all arc lengths are nonnegative and node (n + 1) has only incoming arcs; (2) all arc lengths are nonnegative and node (n + 1) has incoming as well as outgoing arcs; and (3) arc lengths are arbitrary, but node (n + 1) has only incoming arcs. Specify the time required for the reoptimization.

2. Maximum mnltiplier path problem. The maximum multiplier path problem is an extension of the maximum reliability path problem that we discussed in Exercise 4.39, obtained by permitting the constants µij to be arbitrary positive numbers. Suppose that we are not allowed to use logarithms. State optimality conditions for the maximum multiplier path problem and show that if the network contains a positive mUltiplier directed cycle, no path can satisfy the optimality conditions. Specify an O(nm) algorithm for solving the maximum multiplier path problem for networks that contain no positive mUltiplier directed cycles.

Solution of a second order differential equation : Consider the pair of functions (y1(t) = e^-2t * cos 5t, y2(t) = e -2t sin 5t). Show that this pair can be a solution of a second order differential equation ay′′ + by′ + cy = 0 and find one such equation. |

Determine the effects of a permanent productivity increase : Determine the steady state levels for Tobin's q, capital, investment, and consumption. Determine the effects of a permanent productivity increase (i.e. ΔA > 0). |

Analyse briefly any environmental auditing techniques : Identify different stakeholders of Burjeel Hospital who are important for formulating new strategy and assess the significance (interests and risks) of each of these stakeholders for Burjeel Hospital. |

Domain and the associated range : For each of the following functions please state the maximal (natural) domain and the associated range and please show your working out |

Specify the time required for the reoptimization : Specify an O(nm) algorithm for solving the maximum multiplier path problem for networks that contain no positive mUltiplier directed cycles. |

Product description and features list : Choose one computer of interest to you and review the product description and features list. Post the sales web link to your chosen computer. |

Perform induction on the number of nodes : Show that the dequeue implementation of the generic label correcting is a sharp algorithm. (Hint: Perform induction on the number of nodes the algorithm examines. Use the fact that the distance label of a node becomes nonsharp only when the distan.. |

Organization uses number of items : An organization uses number of items of a equipment to produce goods. Each item is at one LOCATION, of one TYPE and has a DETAILED_DISCRIPTION. |

Scratch for a small fictitious business : Design a database from scratch for a small fictitious business such as a library, car rental, university, retail store, hospital, doctor's office or any other business. |

## Important aspect of your change management planConduct some research to find a recent example of a change (IT-related or not) within an organization - How would this aspect of your plan help the people affected by the change |

## Operation at a certain track beginsSimulate the behavior of the elevator algorithm for these requests. Which of the following correctly describes the time (in milliseconds) at which the I/O operation at a certain track begins? |

## Explain enterprise architecture using zachman frameworkIn your opinion, does framework necessarily lead to the top-down approach to development, e.g. you start with models in row 1, then work on row 2 models, and so on? |

## Write the document''s topic as the document''s headerWrite the document's topic as the document's header. On the document's first page, insert a list of the document's paragraph names. The paragraph names briefly describe the paragraphs' contents. Add a hard page break to the first page to make sure th.. |

## Proton decay in intersecting brane modelsWe aim to show that in intersecting brane models there are no open string diagrams which represent proton decay into leptons and gauge bosons. |

## Construct a vector containing all of the even numbersConstruct a vector containing all of the even numbers between 6 and 33, inclusive of the end points. Store your answer in the variable evens. (Note: 33 is not an even number) |

## Myth of mac devicesFrom the second e-Activity, explain whether or not you believe that the myth of Mac devices being more secure than Windows devices is becoming history, and justify your answer. Further, indicate one (1) main reason why you believe this myth still .. |

## Identify and reuse free memory area in a heapDiscuss two main approaches to identify and reuse free memory area in a heap. |

## Explain the concept of quality function deploymentExplain the concept of quality function deployment. Link your answer to the leadership commitment to quality and the development of a robust and effective quality strategy. This answer must be in your own words-significant cut and paste from the t.. |

## A virtual boolean method that indicatesData members should include all those inherited plus any you want to add Member functions should include any inherited methods, plus at least A virtual Boolean method that indicates whether the player gets another card A method that announces that.. |

## What type of data model you are developingProvide a brief description about what type of data model you're developing, along with a project description. |

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