2 problems involving linear equations


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Linear equations in two variables
A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represe..
Linear Inequations Summary
Linear Inequations Summary - A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-plan..
Steps Involved in Photosynthesis
Photosynthesis has two main reactions: Light reaction Dark reacti..
Reactions Involving A Slow Step
If k 1 is very much less than k 2 that is k 1 << k 2 then the intermediate B is transformed into the product C as soon as it is forme..
Reactions Involving A Slow Step
If k 1 is very much less than k 2 that is k 1 << k 2 then the intermediate B is transformed into the product C as soon as it is formed. In such cas..
Equilibrium Involving Chemical Systems
example for an irreversible reaction Equilibrium Involving Chemical Systems - In reversible reactions chemical reactions take place in both the forward and backward directions. For example, the reaction between gaseous hydrogen and iodine vapours to give gaseous hydrogen iodide is a reversible reaction and may be expressed a..
Result involving difference of two observed quantities
Suppose X = a - b Let D a and D b be absolute errors in measurements of quantities a and b, values of a and b and D X be maximum error in X. Maximum absolute error in X = Maximum absolute error in a + Maximum absolute error in b From equations (1) and (2) it is evident t..
Result involving the product of two observed quantities
Suppose X = ab Let D a and D b be absolute errors in measurements of quantities a and b, values of a and b and D X be the maximum possible error in X. Dividing both sides by X = ab, we get are relative errors of fractional errors in values of a, b and x. Neglecting as its product is ver..
Mathematical Formulation of Linear Programming Problems
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. 1. Identify the decision variables and ass..
Reactions of Aldehydes and Ketones Involving a - Hydrogen
Two molecules of an aldehyde or a ketone having at least one a -hydrogen atom condense in the presence of a dilute acid to give a b -hydroxyaldehyde or b -hydroxy - keton..
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