Free

Functions and Modules - Essay Example

Summary

For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be:
Create a linear…

Download full paper File format: .doc, available for editing

GRAB THE BEST PAPER91.4% of users find it useful

Read Text Preview

Subject: Miscellaneous
Type: Essay
Level: Masters
Pages: 2 (500 words)
Downloads: 2
Author: bhand

Extract of sample "Functions and Modules"

Functions and Modules Think of a mathematical function that represents something from your own life. For example, suppose the number of beers you drink depends on the number of football games you watch. If you drink five beers during every football game, the function would be: Number of Beers (B) = 5 times Number of Football Games (F), or B = 5F. But suppose you drink 2 beers each day irrespective of football, but in addition you drink four beers during every football game. In this case: Number of Beers (B) is 2 + 4 x Number of Football Games, or B = 2 + 4F.

Create a linear equation from your own life and then write a brief paper describing this linear function. It should relate a particular thing to another thing. It could be something about the amount of money you spend, the number of minutes you spend on the phone, number of miles you run each day, number of push ups, etc. I normally spend 30 minutes of outgoing calls (average) every day. Also, I spend 2 minutes (average) on every incoming call. Suppose the number of incoming calls that I receive is X and the number of minutes that I spend on the phone is N,Number of Minutes (N) = 30 + 2 times the incoming callsN = 30 + 2X1.

Solve for X and Y in the following problems using either substitution or elimination methods. Make sure you show all your work so you can get partial credit even if your final answer is wrong. a. X + Y=6  Eqn. 12X + Y = 8  Eqn. 2Subs. Eqn. 1 in Eqn. 2,X + X + Y = 8X + 6 = 8X = 2Subs. X = 2 in Eqn. 1,2 + Y = 6Y = 4b. 7X + 3Y = 14  Eqn. 15X + 9Y = 10  Eqn. 2Eqn.1 * 3  21X + 9Y = 42Eqn. 2 5X + 9Y = 10 (-) 16X = 32 X = 2Subs. X = 2 in Eqn. 1,14 + 3Y = 14Y = 0c.

4X + Y = 16  Eqn.12X + 3Y = 24  Eqn. 2Eqn. 1  4X + Y = 16Eqn. 2 * 2  4X + 6Y = 48 (-) -5Y = -32 Y = 32 / 5Subs. Y = 32 / 5 in Eqn. 1,4X + (32/5) = 164X = 48 / 5X = 12 / 5d. 12X + Y = 25  Eqn. 18X - 2Y = 14  Eqn. 2Eqn. 1 * 2  24X + 2Y = 50Eqn. 2  8X – 2Y = 14 (+) 32X = 64 X = 2Subs. X = 2 in Eqn. 1,24 + Y = 25Y = 12. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bobs holdings of these two companies is $340,000.

Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $340,000. a. Write equations for Bob and Franks holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y. 2,000X + 10,000Y = 340,000  Eqn. 1 (Bob’s Holdings)8,000X + 6,000Y = 340,000  Eqn. 2 (Frank’s Holdings)b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.

2,000X + 10,000Y = 340,000  Eqn. 1 (Bob’s Holdings)8,000X + 6,000Y = 340,000  Eqn. 2 (Frank’s Holdings)Eqn. 1 * 4  8,000X + 40,000Y = 1,360,000Eqn. 2  8,000X + 6,000Y = 340,000 (-) 34,000Y = 1,020,000 Y = $30Subs. Y = 30 in Eqn. 1,2,000X + 300,000 = 340,0002,000X = 40,000X = $203. Solve for X, Y, and Z in the following systems of three equations using either substition or elimination methods: a. X + 2Y + Z = 6  Eqn. 1X + Y = 4  Eqn. 23X + Y + Z = 8  Eqn. 3Subs. Eqn. 2 in Eqn. 1,X + Y + Y + Z = 64 + Y + Z = 6Y + Z = 2  Eqn. 4Subs. Eqn. 4 in Eqn. 3,3X + 2 = 8X = 2Subs.

X = 2 in Eqn. 2,2 + Y = 4Y = 2Subs. X = 2 and Y = 2 in Eqn. 1,2 + 4 + Z = 6Z = 0b. 10X + Y + Z = 12  Eqn. 18X + 2Y +Z = 11  Eqn. 220X - 10Y - 2Z = 8  Eqn. 3Eqn. 1  10X + Y + Z = 12Eqn. 2  8X + 2Y +Z = 11(-) 2X – Y = 1  Eqn. 4Eqn. 1 * 2  20X + 2Y + 2Z = 24Eqn. 3  20X - 10Y - 2Z = 8 (+) 40X – 8Y = 32  Eqn. 5Eqn. 4 * 8  16X – 8Y = 8Eqn. 5  40X – 8Y = 32 (-) -24X = -24 X = 1Subs. X = 1 in Eqn. 4,2 – Y = 1Y = 1Subs. X = Y = 1 in Eqn.

2,8 + 2 + Z = 11Z = 1c. 22X + 5Y + 7Z = 12  Eqn. 110X + 3Y + 2Z = 5  Eqn. 29X + 2Y + 12Z = 14  Eqn. 3Eqn. 1 * 2  44X + 10Y + 14Z = 24Eqn. 2 * 7  70X + 21Y + 14Z = 35 (-) 26X + 11Y = 11  Eqn. 4Eqn. 2 * 6  60X + 18Y + 12Z = 30Eqn. 3  9X + 2Y + 12Z = 14 (-) 51X + 16Y = 16  Eqn. 5Eqn. 4 * 16  416X + 176Y = 176Eqn. 5 * 11  561X + 176Y = 176 (-) X = 0Subs. X = 0 in Eqn. 4,0 + 11Y = 11Y = 1Subs. X = 0 and Y = 1 in Eqn. 1,0 + 5 + 7Z = 12Z = 1

CHECK THESE SAMPLES OF Functions and Modules

The Massive Modularity Theory

In the modern times, the brain is being compared to the computer where there is a designated chip or program for various functions and one would not over manoeuvre other programs for it to malfunction.... In the paper “The Massive Modularity Theory” the author examines psychological traits such as perception, memory, and language from a modern evolutionary thought....

11 Pages (2750 words) Essay

Functional and Structural Modeling

Functional modeling Functional modeling include various design element such modules, processes inputs and outputs, interfaces and design of databases and files.... A fully functional system is made up of a collection of small independent subsystems called modules.... The modules are coded and designed separately after which they are brought together to form a complete and fully functional system.... Duplication of functions in modules should be avoided by creating a single module which can be called by other modules in case of need....

3 Pages (750 words) Coursework

Information Technology Is a Fast-Changing World of Computing

Thus the system is separated into modules, which are independent of each other.... After development system integration follows which involves a combination of the different modules developed above.... After successful integration of different modules for SFO clinic, then system testing follows which is done in two phases.... While testing might be done after integration, it is of great essence that testing be carried out before and after integration to ensure that developed modules are error-free and that the system has efficient communication abilities, that is, modules are able to communicate with each other while passing data....

8 Pages (2000 words) Essay

Question and Answer

At implementation time each module and its inputs and outputs are well-defined, there is no confusion in the intended interface with other system modules" (cited in Parnas 1972: 1053).... To achieve this, Parnas identifies a criteria, which provides that the module's structure must be simple, that it must be possible to change the implementation of one module separate from and without affecting other modules, changes made in a module must be supported by a likely need for the change, major software changes should be possible as a set of independent changes to individual modules, and the functions of a single module should be understandable without understanding the module's internal design (Parnas, Clements & Weiss 1985: 260)....

3 Pages (750 words) Essay

ARU's Bookstore Black Box Test Plan

The assignment “ARU's Bookstore Black Box Test Plan” presents tests of ARU's bookstore's HTML file and XML data file, discusses the main problems in ARU study - the products haven't got enough specification, the products have a bug on them and it's difficult to make a bug free product, etc....

14 Pages (3500 words) Assignment

Computerization of the Process for Preparing Question Papers

The paper "The Object-oriented Analysis - OOA" describes that the object-oriented analysis (OOA) approach uses an integrated set of models to identify the conceptual entities or objects in the system, their behavior, and the required processing.... OOA is a good analysis approach because it pays attention to real world issues....

14 Pages (3500 words) Essay

Object Orientation in PHP

The essence of using modules is better to understand the system to maintain and extend it.... By having coherent modules, encapsulate the behavior and only show it via interfaces, change to details on how the module is implemented (Ullman, 2013).... As a result, to extend novel modules that have different implementations can be established even without making changes to the existing modules.... modules should not be too thick so that reusing it becomes a bigger problem....

6 Pages (1500 words) Case Study

Software and Design - Abstraction Techniques in Software Development

When a large system is being designed from many components, the overall construction of that system will present challenges, but these challenges have been taken care of in a number of ways, such as the use of modules interconnection languages, informal diagrams, and descriptive terms.... When a large system is being designed from many components, the overall construction of that system will present challenges, but these challenges have been taken care of in a number of ways, such as the use of modules interconnection languages, informal diagrams, and descriptive terms, frameworks for systems that will serve the need for specific domains and templates....

6 Pages (1500 words) Essay