linear equations in one variable

Introduction - The mathematical models which tells to optimise (minimize or maximise) the objective function Z subject to certain condition on the variables is called a Linear programming problem (LPP). During World War II, the military managements in the U.K and the USA engaged..

A differential equation is said to be linear, if the unknown function and its derivatives occur only in the first degree and are not multiplied together. Example: Note that the degree of a linear differential equation is 1, but a differential ..

Which of the following equations is in the linear form? => x y 3 = 3 x - 3 2 or y = x 2 - 2 or 1 4 = x y + x 6 or y 4 = x + 1 2..

Limitations of Linear Programming - Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constrai..

Consider the equation x = 0, x = 1, y = 0, y = -2. i) x = 0 represents y-axis. ii) x = 1 represents line parallel to y-axis. iii) y = 0 represents x-axis. iv) y = -2 represents line parallel to x-axis...

Which is a linear function? => x + y - 7 = 0 or y 2 = 4 x or 4 y - ( 21 x ) = 1 or 2 x y - 1 = 0..

Which of the following is a linear function? => y = 1 x + 3 or y = 3 x + 2 or y = 3 x 2 or y = 3 x 2 + 3..

A chi-square variable cannot be _____, and the distributions are _____ skewed. => positive ; negatively or 0 ; positively or 1 ; negatively or negative ; positively..

Conclusion - The graphical method of solving an LPP is possible only if there are two decision variables (say x and y). This method is not suitable if there are three or more decision variables. In this case, there is a powerful method called 'simplex method'. The wide usage of ..

There are mainly four steps in the mathematical formulation of linear programming problem as a mathematical model. We will discuss formulation of those problems which involve only two variables. Identify the decision variables and assign symbols x and y to them. These ..