Tuesday, 24 October 2017

How to Evaluate an Integral

In this video you will see how to evaluate an Integral. This video shows an example, by this example you will see about how to evaluate an Integral. If you have any question or want solution of any mathematical problem of related topic, please write on the comment box. May be the next video is solution process of your mathematical problem.

Thursday, 21 September 2017

Introduction of Circle

All of my lessons and teaching videos are in English and most of them are for students of Logistics Management. But many of mys students and followers are always asking for lessons and teaching videos in Hindi. Now I have posted my first video lesson of Mathematics in Hindi. here is my Video.

Friday, 16 January 2015

How to Use Educational Gadgets

My great students from today you will see only educational gadgets on the sidebar of every post . These gadgets are very useful for students. Now at the early time I have added some gadgets which I think very useful for you. here are some mathematics gadgets are on the right side bar and some chemistry gadgets are on the just below of the post. You can use these gadgets to solve your problem and also to understand your subject matter. Only you have to put your problem in the given space and submit it just you will see all your answers with proper descriptions. If you need any other support you may see video of some online classes which is given on the left side bar.  If you need more gadget as per your need please inform me, sure I will try to provide you the related gadgets. hope you will enjoy your study, if any problem feel free to make contact with me.

Friday, 10 October 2014

Calculation Of Specific Gravity

 Calculation Of Specific Gravity:-
The Specific Gravity (it is also written as sp.gr.) of a substance is the ratio of the weight of a given volume of the substance to the weight of an equal volume of some standard substance (which is taken as water at 4degreeC)

Obviously it is a pure number and processes no dimensions.

Hence the Specific gravity of a substance

=(the weight of volume  v   of the substance)/(the weight of volume   v  of the standard substance)

=(the weight of a unit volume of the substance)/(the weight of a unit volume of the standard substance)

=(the mass of a unit volume of the substance)/(the mass of a unit volume of the standard substance)     (as weight=mass*g)

=(the density of the substance)/(the density of standard substance)

This is the final step for Specific Gravity.  

True specific gravity can be expressed mathematically as:
 SG_\text{true} = \frac {\rho_\text{sample}}{\rho_{\rm H_2O}}
where \rho_\text{sample}\, is the density of the sample and \rho_{\rm H_2O} is the density of water.
The apparent specific gravity is simply the ratio of the weights of equal volumes of sample and water in air:
 SG_\text{apparent} = \frac {W_{A_\text{sample}}}{W_{A_{\rm H_2O}}}
where  W_{A_\text{sample}} represents the weight of sample and  W_{A_{\rm H_2O}} the weight of water, both measured in air.
It can be shown that true specific gravity can be computed from different properties:

 SG_\text{true} = \frac {\rho_\text{sample}}{\rho_{\rm H_2O}} = \frac {(m_\text{sample}/V)}{(m_{\rm H_2O}/V)} = \frac {m_\text{sample}}{m_{\rm H_2O}} \frac{g}{g} = \frac {W_{V_\text{sample}}}{W_{V_{\rm H_2O}}}

where  g is the local acceleration due to gravity, V is the volume of the sample and of water (the same for both), {\rho_\text{sample}} is the density of the sample, \rho_{\rm H_2O} is the density of water and  W_V represents a weight obtained in vacuum.

Thursday, 25 September 2014

Number Relation in table 9 for Primary Students

In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system.

Visual representation of the different multiplication tables from 2 to 50
The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations with base-ten numbers. Many educators believe it is necessary to memorize the table up 9 multiply by 9. 

Number Relation in table 9 :-

There is a relation between the digits of all numbers in Multiplication Table of 9
Please see this relation;

9*1=09   where   0+9=9
9*2=18    where   1+8=9
9*3=27    where   2+7=9
9*4=36    where   3+6=9
9*5=45    where   4+5=9
9*6=54    where   5+4=9
9*7=63     where   6+3=9
9*8=72     where   7+2=9
9*9=81     where   8+1=9
9*10=90   where   9+0=9

It proves that every number of multiplication table of 9 when added to make a single number then this number is also 9.

This very interesting and very Important for every primary students to know this number relation 

Monday, 22 September 2014

Fluid Pressure

Pressure force area.svg
Pressure at any point of a fluid. :-

 Pressure is the amount of force acting per unit area. The symbol of pressure is p or P


p = \frac{F}{A}\ \mbox{or}\ p = \frac{dF_n}{dA}
p is the pressure,
F is the normal force,
A is the area of the surface on contact.
Pressure is a scalar quantity. It relates the vector surface element (a vector normal to the surface) with the normal force acting on it. The pressure is the scalar proportionality constant that relates the two normal vectors:
d\mathbf{F}_n=-p\,d\mathbf{A} = -p\,\mathbf{n}\,dA

Uniform Pressure :- 
 The pressure on a Plane area is uniform when the thrust on any portion of it is proportional to the area of that portion, and the pressure is measured by the thrust on a unit area.

Mean Pressure :-
 The mean pressure on a plane area is the uniform pressure on it which will give the same resultant thrust as the actual one.

Pressure at a Point :-
 The Pressure at any point of an area is the limit of the mean pressure on an indefinitely small area enclosing the point.

Thursday, 21 August 2014

Inverse Functions


Let the function   y=f(x)  be defined as the set of   X  
and have a range  Y.

If the each   y   is the element of   there exists a single value of   x   such that    f(x)=y.

then this correspondence defines a certain function  x=g(y)
called inverse with respect to given function   y=f(x).

The sufficient condition for existence of an inverse is  a strict monotony of the original function

If the function increases (decreases), then the inverse function is also decreases (increases).

Graph of the inverse function   x=g(y)  coincides with that of the function   y=f(x)   if the independent variable is marked off along the    y-axis.   If the independent variable is laid off along the   x-axis   i.e. if the inverse function is written in the form    y=g(x),     then the graph of the inverse function will be symmetric to that of the function     y=f(x)    with respect to the bisector of the first and third quadrant.

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