calculus problem solver

In the previous post we have discussed about elimination method calculator and In today's session we are going to discuss about calculus problem solver, In mathematics, calculus deals in the field of limits, integrals, derivatives, functions, and in the infinite series. Calculus covers the major part of modern mathematics education. Differential calculus and integral calculus are the two major field in which the calculus deals and both of these are related by the fundamental theorem of calculus. It is the study of rate of change. Calculus problem solver work in the field of integral calculus and in differential calculus.
Differential calculus is the study of the rate of change of quantities. The process of estimation of the derivative is known as differentiation. Differentiation has all its major applications in quantitative disciplines. For instance, in physics Newton’s second law of motion explains the derivative of the force applied to the body is equals to the momentum of the body. The chemical reaction rate is a derivative. we can also say that it is the reverse procedure of integration. Generally to find the maxima and minima of the function the derivative is used. Equations which involve derivatives are known as differential equation. If the limit exist differential can be described as

                    f(x+h) - f(x)
f'(x) = lim_h→0 ----------------
                           h

Like differentiation integral is also the important concept of calculus. The integral calculus is the study of the properties, definition and the applications of the two related concepts these are the indefinite integral and the definite integral. The indefinite integral is the inverse operation of the derivative also known as antiderivative. And the definite integral inputs a function and the output comes in the numerical form that is a perfect number. The symbol of integration is ∫ it is in the shape of elongated s.
You can also refer the application integration for more matter. There are so many Indian portals available on which you can find the class 12icse sample papers.

elimination method calculator

We use elimination method calculator, to find the value of the variables in the linear pair of equations. We say that the linear pair of equations can be solved by different methods.  One of the methods of solving the linear pair of equations is by elimination method.  In this method, we will equalize the constant values of one of the variables in both the equations and thus one of the variable in the two equations is eliminated. Also you can improve your skill in linear equation and inequalities. For this we take the following steps :

1.       We first multiply the given equations by any of the suitable numbers so as to make the coefficients of one of the unknown variables numerically equal.
2.      If we observe that the numerically equal coefficients are opposite in their sign, then we add the two equations which we get after the multiplication, else we will subtract one equation from the another one. For subtraction we need to change the sign of  the equation which is being subtracted and then one variable is cancelled.
3.      The resulting equation which we get after the addition or subtraction in linear equation in one unknown variable. Thus we get the value of one of the two unknown quantities in the two equations given above.
4.      Now we substitute the value which we have just calculated in any of the given equations.
5.      On solving the new formed equation, we will get the value of the second unknown variable in the linear equations. The two values of the two variables is the solution of the pair of the equations.
Thus if we put the values of the two variables in any of the two linear equations, we observe that these values satisfies both the given equations and hence it is the answer.

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Discrete and continuous random variables

Today we are going to discuss about the variables in statistics that are defined in two types as random variables and continuous variables and these discrete variables or continuous variable are further divided in discrete random variables and continuous random variables .So in this blog we are mainly focusing on the discrete random variables and continuous random variables. Also see What is a Dependent Variable?
Discrete random variables are categorize as the persons, Objects or events that are define according to the kind of quality their characteristics .It is also define as a random variable that have the finite number of values .It can be explained by an example as if you flip a coin six times then how many chances of occurrence of tail then answer of this question is define through the discrete random variable.
If we talk about the continuous random variable then it is define as the random variable that have the infinite number of values Or a continuous random variable is define as a variable that have the infinite number of possibilities of occurrence of possible numerical values that are usually the measurement of an object .
It will also be explained through the example as speed of a car (miles per hour) first time drive by your house then it will be defined through the variable that have the infinite number of values as a car can going on 23 mile per hour or 67 mile per hour or 34 .0065 mile per hour etc .So the variable that is speed can take infinite number of values for define speed. For more see this
Or if we talk about any experiment that is related to the testing for time taken by that task then for a defined sample space S if there is a random variable x then x (s) represents the height of the person that is less than 5 and greater than 1 then the value for the variable is define as 1 < x (s) < 5 so for that random variable there is infinite number of values so x is define as the continuous random variable

In upcoming posts we will discuss about Line of best fit - least squares regression and Trigonometry. Visit our website for information on West Bengal class 12 syllabus

interquartiles

Hello students, in this session we are going to discuss the interquartiles and How to Find the Interquartile Range. The interquartiles come under the quartiles and the quartiles are one of the types of partition values. The other two types of partition values are deciles and percentiles. Quartiles defines the whole series into four equal parts and these four equal parts are denoted by the Q₁, Q₂, Q₃ statistics where Q₁ contains first 25 % data of whole data and known as lower quartile, Q₂ contains 50 % data of whole data and known as median and Q₃ contains last 25 % data of whole data and known as upper quartile. So the interquartile is the statistics range between the Q₃ and Q₁ or in other words interquartile range is Q₃ - Q₁.
By subtracting the lower quartile from the upper quartile we can find the interquartile value. Another formula to find the interquartile i9s Range = X _{max –} X _min, Where X _max is upper observation and X _min is lower observations.
Interquartiles statistics is used for the quality control of those products that are manufactured. We can also find the semi interquartile range, so formula for this is : - (Q₃ - Q₁) / 2
Let’s take an example of interquartile range
We have a data series 1, 3, 5, 96, 78, 4, 52
Step 1 : - First of all arrange this series into ascending order
1, 3, 4, 5, 52, 78, 96
Step 2 : - Find median (median is always middle value)
So the median is 5.
Step 3 : - Put the numbers into parentheses
(1, 3, 4) 5, (52, 78, 96)
Step 4 : -After got the median we have to find Q₁ and Q₃
Q₁ is just half of the lower side data, so it is 3
Q₂ is just half of the upper side data, so it is 78
Step 5 : - Now subtract Q₃ – Q₁ to find interquartile range.
78 – 3 = 75

In upcoming posts we will discuss about Discrete and continuous random variables and Basic trigonometric functions. Visit our website for information on Maharashtra secondary and higher secondary education board

Correlation and causation

In this blog we are going to know about the Correlation and causation, also you can see Sample Correlation Coefficient for more information .Sometimes students does not differentiate both the terms and they relate these two terms in same manner but there is a basic difference between these two terms that are defined as follows. As if we talk about the linear correlation it will be define as the relationship between two or more things that are mutually defined but when we talk about the causation then it will be define as the effect produced by some thing.
In simple word if we talk about the correlation it is an action or sometimes occurrence that can cause the another action or occurrence and it is define as causation and when one thing is relate with another thing it will be define as correlation as an example smoking can cause cancer the it will be explained as the causation and when the things such as smoking is related with alcoholism is known as correlation. You can also use this resource.
N mathematical terms if there are relation between two or more variables then this relationship will be measured quantitatively in terms of coefficient of correlation that is also known as Galton's correlation coefficient .Expression of correlation coefficient = ∑X ' Y ' / n s _x s _y that is define as the ratio between the average product of derivatives of terms X and Y to the product of their standard deviation) . there are several types correlation that define the relation between two or more than two variables in which one of them is Pearson's correlation that is define as the ratio of the standard deviation of the mean values of terms X for each value of Y to the total standard deviation of term X ).

In upcoming posts we will discuss about interquartiles and symmetry. Visit our website for information on Maharashtra board syllabus

Methods of data representation

There are several methods of data representation in statistics help used for represent the data in a specified manner also known as the data display. Data representation methods is arrangement of data that is provide the visualization of the data in tabulated form or in form of graphs or charts or maps or diagrams . Also improve your knowledge solving Data Set Example.
We can elaborate some basic needs for data representation:
(1) : difficulties in understanding the descriptive data that is not very easily draw for the results.
(2) : for making or drawing the visual impression of the data that is provide the more ease .
(3) : Helps in doing comparison between data very easily .
(4) : Characteristics representation can be done in a simplified way .
1.
5. : Representation makes process easy for some types of patterns that are as population growth, distribution and density or age – sex composition etc.
So there are some Data representation methods as follows:
(a) data will be represented in the tabular form means all the data is maintained in the tables that will help in understand the data with all its attribute that are also known as the properties of the data .
(b) For representing the data there one more technique that is known as graphs and one of these are pie charts that will provide the way for understanding that how data is changed in the particular environment that is depends on some other variable for specific experiment .
(c) There is one another type of representation of data that is drawing some charts.
(d) The graphs that is used in data representation have categorize in some types that are define as line graph or histogram or bar graph or pyramids etc.

In upcoming posts we will discuss about Correlation and causation and Mathematical induction. Visit our website for information on state board of Maharashtra syllabus