In such situations one thinks of using some Mathematical softwares or packages which directly provide answers.
I have made some Mathematical Widgets available here which can be fruitful in this regard.
For example: If one needs:
- graph of a function in 2D or 3D (without spending time to manually plot it)
- solution of linear or non-linear equations and inequalities (without going to usual steps to get the same)
- to find determinant, inverse, eigen values and eigen vectors of a square matrix of order 3
- to solve a third order system of linear algebraic equations
- to evaluate limit at some point, derivative(upto tenth order) and integral of a function
- to find area a under a curve within some finite range (definite integration)
- to find maxima and minima of functions of one or more variables
- to get Taylor's series development of a function about some point
- to plot Bessel's function of any order
- to get solution of a second order linear ordinary differential equation, its plot and Lagrangian
- to measure sample standard deviation
- to calculate coefficient of correlation
- to find linear regression line e.t.c
I hope these widgets will help the followers of this Blog in this respect. I acknowledge those who really made these available on "wolframalpha.com".