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How to solve functional equations of different types. In chapter functions one of the question which we all must be facing is how to solve functional equations for some given form. Once we say functional equation , the immediate thoughts are what is functional equations ? How to solve function equation ? Are some of […]

Read MoreLocal maximum and minimum of function is value for function with respect to its right and left neighbor values . Where as Global maximum and minimum is maximum and minimum value of function in its domain. An important thing is they are value of functions not limit values.

Read MoreThe solution of by-quadratic equation of degree 4 , such that in the product of two of linear factor and other linear factor , Coefficient of x square and x will remains same

Read MoreEquation of tangent to parabola Equation of tangent to parabola $ y^2\,=\,4ax $ ant any parametric coordinate p(t)=$p(\,at^2,\,2at)$ where t is a parameter and $t\,\in R $ is given by $ yt\,=\,x\,+\,at^2 $ . Hence 1/t is the slope of tangent at point P(t). Let m=1/t Hence equation of tangent will be $\frac{y}{m}\,=\,x\,+\,\frac{a}{m^2} $ i.e […]

Read MoreDistribution of ‘n’ identical objects into ‘m’ numbers of distinct groups. PODCAST ON DISTRIBUTION OF OBJECTS INTO GROUPS Let us consider distribution of n identical objects to m numbers of distinct groups. let $\,x_i \,$ is the number of identical object objects in $i^{th}\, $ group. Therefore $x_1\,+\,x_2\,+\,x_3……….\,+\,x_m\,=\,n\,\,\, ;\,\,\, where\,\, 0\leq x_i\leq n \,,\,\,\, \forall […]

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