limitations of graphical method

Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize..

First, the data of concentrations versus time is obtained by a suitable method. Then, the data is plotted as concentration versus time. From the resulting plot, the instantaneous rates are determined by drawing tangents to curve and then calculating their slopes. The reaction rate s..

The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistics. A list of some important terms as follows: (i) ungrouped data (ii) tabulation of data (iii) range (iv) frequency (v) frequency distribution (vi) tally..

So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective function Z, then we say that these values of x i are the optimal so..

There are various methods of graphical representation of statistical data. In our study, we learn only two types. (i) Histogram (ii) Ogive or Cumulative Frequency Cu..

Statistics - The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistic..

If a quantity is dependent on trigonometric or exponential functions, this method cannot be use..

Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while deriving the relation connecting two or more physical qua..

Results and observations of scientific experiments should be properly recorded under headed columns and numbered rows. The headings must include the units in which each quantity is measured. Graphs are very helpful in comparing measurements. The general rule in plotting the graph of a given data ..

For reactions where many reactants are involved, the order of the reaction is determined by the method of isolation. This was developed by Ostwald. In this method, the concentrations of all the reactants except one are taken in excess. For e.g., in the reaction A + B + C + D Pro..