Free

Linear Equations - Research Paper Example

Comments (1) Cite this document
Summary
Linear equation, an important concept in algebra was invented by Rane Descartes. Descartes was born in 1596 in France. He studied mathematics from the book of Culvius. …
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER96.5% of users find it useful
Linear Equations
Read TextPreview

Extract of sample
"Linear Equations"

Dependent and Independent Variables analysis started developing thereafter. Linear models formation was naturally a next step further for the solution of several real life issues. (A Brief History) Linear equation concept gave birth to the dependent and independent variables. Linear equation shows a relationship between two variables but we need to go one step further how the relationship between two variable forms. As we know solving any mathematical problem needs the statement of known variables to determine the values of unknown variables. Variables are those parameters that keep changing in any system under the study. Every single phenomenon in nature is made of several variables. More the variables, more difficult it becomes to model its behavior and predict the outcome from the incident. If these variables are segregated in dependent and independent variables, it becomes easier to develop a model and predict the outcome....
Mathematically, it can be written as E ? 1/H The use and understanding of dependent and independent variables help us do graphical analysis. Values of independent variables are drawn along X-axis, while values of dependent variables are plotted along the Y-axis. This helps us visualize the relation between two variables clearly. Dependent and Independent Variables in Science Science has been working toward the exploration of the nature for several centuries. Essentially, science tries to find the relationship between dependent and independent variables. For example, the Einstein gave the equation of E=m where c is the velocity of light and m is the mass of the matter. Energy produced is a dependent variable and mass is an independent variable. More the matter available, more the energy can be produced; however, relationship is not linear and energy produced is not proportionate but increases by the square of velocity of light. This algebraic presentation shows the relationship in the form of an algebraic equation that helps us understand its implications in larger scale. In fact Einstein’s equation opened the door for nuclear energy with its uses for the benefit and destruction both. Contribution of different mathematical branches in understanding the science and technology has been immense helping mankind to build a better life. (Dependent and Independent Variables) Linear Models: The understanding of the dependent and independent variables help formulate linear models. In actuality, real life experience tells that there are hosts of independent variables, which influence dependent variable. Thus a need of formulating some mathematical model arises that can be used to measure the effect of these independent variables with some degree of Read More
Cite this document
  • APA
  • MLA
  • CHICAGO
(“Linear Equations Research Paper Example | Topics and Well Written Essays - 750 words”, n.d.)
Retrieved from https://studentshare.org/family-consumer-science/1412465-linear-equations-y-find-out-some-of-the-names-of
(Linear Equations Research Paper Example | Topics and Well Written Essays - 750 Words)
https://studentshare.org/family-consumer-science/1412465-linear-equations-y-find-out-some-of-the-names-of.
“Linear Equations Research Paper Example | Topics and Well Written Essays - 750 Words”, n.d. https://studentshare.org/family-consumer-science/1412465-linear-equations-y-find-out-some-of-the-names-of.
  • Cited: 0 times
Comments (1)
Click to create a comment or rate a document
on
ondrickapat added comment 7 months ago
Student rated this paper as
Excellent paper! Used it to finish an assignment for a family & consumer science course. It was easy as ABC, for the first time in my life.
CHECK THESE SAMPLES - THEY ALSO FIT YOUR TOPIC
Patterns Withing Systems of Linear Equations
...? School School Crest Mathematics HL Portfolio Type I PATTERNS WITHIN SYSTEMS OF LINEAR EQUATIONS Candi Candi Number Examination Session Contents Introduction 2 Part A. System of linear equations formed with arithmetic progressions. 5 Arithmetic progressions 5 Constants in a system of linear equations 5 Searching for a pattern 6 Pattern repeated in other systems 8 Graphing equations with arithmetic progress coefficients 10 Generalize result for systems 11 Extension to systems of linear equations 13 Part B. System of linear equations formed with geometric...
16 Pages(4000 words)Math Problem
Linear and Non Linear Programming
..., the manager will be in trouble. Regression, for example, may help the manager to forecast his sales based on past record, but he must make sure that the user of his product has not undergone any changes in taste and preference. Therefore, an econometric model may prove a better aid than pure mathematics and statistics. Linear and Non linear programming: In linear programming, the statement of the optimisation (maximisation or minimisation, as the case may be) problem runs in a linear form where these variables are restricted to values satisfying a system of linear constraints, i.e., a system of linear equations, and...
7 Pages(1750 words)Essay
SYSTEM OF LINEAR EQUATIONS slp 3
...System of Linear Equations A system of linear equations allows us to solve for variable by the addition of more information (additional equations). Foe example, if we eat in a fast food restaurant and we order 4 cheeseburgers and 3 orders of French fries, and the bill comes to $18, the linear equation would be 4X + 3Y = 18 where X = cost of a cheeseburger Y = cost of French fries $18 = total cost However, there is not enough information to determine the cost of each cheeseburger, or an order of fries. In fact, theoretically there are an infinite number of solutions. However, if we return to the...
2 Pages(500 words)Speech or Presentation
Linear Correlation
...This study tests the correlation between chief executive officers (CEO) salaries and the degree of success of a company. The data of CEO Salaries andtotal Revenue in 2006 was collected for different organization from various respective companies. The data comprised 25 different companies of different size and market capitalization. It was expected to find strong positive correlation between CEO salaries and organization total revenue. Statistical analysis was conducted to conclude evidence in this relationship. Null Hypothesis: (Ho) There is no correlation between chief executive officer salaries and their respective company net revenues. Alternative Hypothesis: (HA) Chief executive officer salaries are positively correlated... study tests...
2 Pages(500 words)Essay
Solving Equations
...In this project, Bluman (2004, p. 331) challenged students to examine an equation, x2 – x + 41, which purportedly yields prime numbers. Students choose numbers to substitute to x in the formula and observe if prime numbers occur. An added challenge was to venture into finding a number, which when substituted in the given equation, will result in a composite number. It is presupposed that a prime number is one whose factors are itself and 1, is common knowledge. On the other hand, a composite number may not be that much of a common knowledge. A definition is thus, provided: a composite number is “any whole number greater than one that is not a prime number … [it] always has at least one divisor other...
4 Pages(1000 words)Assignment
Linear Programming
...Summary Brass Ltd. is in need of an optimal solution to its product manufacturing problem. The problem involves manufacturing of two products amid a number of constraints such as availability of capacity, regulations on maximum output and controlled selling prices. The purpose of the report is to find an optimal solution to this problem using a linear programming model. The model has been solved using excel solver and the optimal solution is obtained. Further, a sensitivity analysis has been used to consider the impact of capacity increase on profitability. The report concludes with a few recommendations. 1. Problem Statement Brass Ltd. manufactures two products named Masso and Russo. These products require machining and...
5 Pages(1250 words)Assignment
Graph key features of functions, linear equations and linear inequalities
...Difference Between a Linear Equation and a Function. A linear equation, y = mx + b, refers to an equation which exhibits a linear relationship between the domain or set of x-values and the corresponding range or set of y-values. Linear equations are normally first degree with respect to both ‘x’ and ‘y’ except in case where x = constant in which the degree of ‘y’ is zero and ‘x’ remains the same at any value of ‘y’ and in case where y = constant in which the slope is zero as well as the degree of ‘x’. All linear equations are function. Examples of a...
2 Pages(500 words)Essay
Equations
.... Explain why your example does not model a function.  A function is not modelled in this example because of the repeating value of ‘x’ in ordered pairs (8, -7) and (8, -1) which fail to show the correspondence that must be one-to-one for the relation to be considered a function. Part 2 f. Select any two integers between -12 and +12 which will become solutions to a system of two equations. The two integers are: 3 and 8 g. Write two equations that have your two integers as solutions. Show how you built the equations using your integers. Your solution and equations should not be the same as those of other students or the textbook. There are...
1 Pages(250 words)Assignment
Quadratic equations
...Can you think of examples of processes that could be modeled with quadratic equations? In the real world, ‘Quadratic Equations’ can prove useful in a number of ways as – (1) Modeling costs for a general store – In C(x) = -0.03x2 + 57x + 310, for instance, the independent variable ‘x’ may refer to the number of materials bought which a store needs in order to produce sellable items. These materials are worth the variable cost C(x) with fixed cost of $310. Since the parabolic curve opens downward, as characterized by the negative leading coefficient, one manages to determine that a maximum cost is reached when x = -57/[ 2(-0.03) ]. The cost may be predicted to decline once the store decides to...
1 Pages(250 words)Assignment
Molecular and ionic equations
...s Post-Laboratory Assignment Molecular and ionic equations Step1 Molecular equation Cu(s)+4NHO3 (aq) Cu(NO3)2 (aq)+2NO2 (g)+2H2O (g) Ironic equation Cu(s)+4H+(aq)+4NO3-(aq) Cu2+(aq)+2NO3-(aq)+ 2N3+(aq)+4O2-(aq)+ 2H2O (g) Step 2 Molecular equation Cu(NO3)2 (aq)+2NaOH(aq) Cu(OH)2 (s)+2NaNO3 (aq) Ionic equation Cu2+(aq)+ 2NO3-(aq)+2Na+(aq)+2OH-(aq) Cu2+(aq)+ 2OH-(aq)+2 Na+(aq)+ 2NO3-(aq) Step 3 Molecular equation Cu(OH)2 (s) CuO(s) +H2O(g) Ionic equation Cu2+(aq)+ 2OH-(aq) Cu2+(aq)+O2-+ H2O(g) Step...
1 Pages(250 words)Assignment
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Let us find you another Research Paper on topic Linear Equations for FREE!
logo footer
Contact us:
+16312120006
Contact Us Now
FREE Mobile Apps:
  • StudentShare App Store
  • StudentShare Google play
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • Miscellaneous
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us