solve using matrices

In the previous post we have discussed about 11th Grade Math and In today's session we are going to discuss about solve using matrices. Matrices are defined as the set of objects or set of numbers or may be a set of characters in the form of a particular format of rows and columns. These rows and columns are defined for all matrices and a matrix is also known as two dimensional arrays. Various operations can be performed over matrices that are mathematical operations such as addition, subtraction, multiplication and inverse of a matrix can also be determined. Matrices are defined in the order “m x n” where m is the number of rows and n is the number of columns. An equation can be represented in the form of matrix, as left hand side of equals to symbol is represented in the matrix form to the left side only and similarly the right side is represented to the right side in the matrix form. Let us consider an example with the equations x + y = 5 and 3x – y = -1. These equations can be represented in the form of matrix and we will solve using matrices. Representing these equations in the form of matrix we get coefficients of x and y in one matrix and x and y in other matrix. And the constants will be represented to the right hand side in the form of matrix.

Potential energy is defined as the energy which is in the form of stored energy. Potential energy formula is given as potential energy is equals to the product of mass of object to the acceleration of gravity to the height of object. In a mathematical form it is represented as P.E= m x g x h where m is the mass of object, g is the acceleration due to gravity and h is the height of object. Icse board is similar to cbse board which runs all over India. It appears to give more practical knowledge and icse 2013 board papers can be easily discovered on net. It provides help to the students by giving an idea of questions.

11th Grade Math

In the previous post we have discussed about Standard Deviation Calculator and In today's session we are going to discuss about 11th Grade Math. The grade 11th is one of the turning points of our life that decide our professional future in a particular field. When students came in 11th standard then they need to choose particular subject like science, commerce or arts stream. In today’s life science - math is one of the popular streams which are chosen by the most of students. At the time when students came into 11th grade then they noticed that course of math in 11th grade in harder or not easy to tackle in comparison of previous year.

The interest towards the math of students gets higher when they select math stream in grade 11th. Here in this section discussion held on the topic of 11th Grade Math that helps the students when they are discussing about which stream they need to select or syllabus of math in grade 11th. The 11th Grade Math’s we generally deals with advance concept of algebra which includes some topic that are real numbers and their algebraic expressions. It also include problems that are related with 1st degree of inequalities and polynomial equations. In the calculative part of mathematics, math includes other important topic like slope of a line and their rate of change, calculative logarithm functions and matrix analysis and their equations, last but not least the concept of rational root theorem.

In the syllabus of math of 11th grade students can also understand the concept of pre calculus that deals with sequences and series, trigonometry functions and their inverse, concept of conic section, graphs and their sinusoidal functions and so on.

Some portion of 11th grade math’s include the study of statistics to handle the real world problem very easily.

Protons and Neutrons are the part of any molecules that can be consider as a nucleons which are attracted with each other by nuclei force. In school examination, for student preparation various websites pro vide 10th maths question paper to perform better in exam.  

Standard Deviation Calculator

In the previous post we have discussed about sample standard deviation calculator and In today's session we are going to discuss about Standard Deviation Calculator. Hi friends, in this blog we will discuss the definition and calculation of Standard Deviation Calculator. In mathematics, Standard Deviation can be defined as the variation exists from the given mean value or in other word expected value  or average value. Generally it is known by symbol sigma as (σ). Now we will understand the concept Standard Deviation Calculator. It is a online tool or machine which is used to find the value of standard deviation. Using this online machine we can get the vlaue of standard deviation within a second. In other word this online machine will gives us the value of standard deviation of given set of data in one click. To find the value of deviation with the help of calculator we have to understand some steps so that we can easily the answer. (know more about Standard Deviation Calculator, here)
Steps to follow to find the value of standard deviation are mention below:

Step 1: Using this online machine we can easily find the vlaue of standard deviation. so we use the formula as ∑ = √[(1 / N) Σi (xi - μ) 2].

Step 2: Here the value of ‘σ’ shows standard deviation, vlaue of ‘N’ shows the number of data Points and value of ‘Xi’ shows the Random Variable in which the value ‘i’ lies between 1 to N.

Step 3: In above formula ‘μ’ shows the mean value of the given data set. At last we have to calculate the exact value of σ. This above formula is predefined in this online machine. We have to put the data values in the text box and press the solve button to get the answer. It is very easy to use.

Specific Heat of Iron can be defined as the amount of heat it takes to raise iron one degree. Before entering in the examination hall please prefer all cbse paper for class 9. It is very useful for 9th class students.

sample standard deviation calculator

In the previous post we have discussed about How To Find The Range Of A Function and In today's session we are going to discuss about sample standard deviation calculator. In mathematics, sample standard deviation calculator is a online machine that is basically used to solve the standard deviation of the given data values form its mean. Those students are not know the concept of standard deviation can also use it very comfortably. This machine make the calculation so easy. In other word we can easily solve any standard problem using this calculator. Let’s understand some steps to solve standard deviation problem. (know more about standard deviation , here)

Step 1: First enter the data values in the text box.

Step 2: Then press the solve button to get the result.

In standard deviation calculator the formula defined to find standard deviation is give as:

σ= √ [(1 /N) ∑i (xi – μ)²

Step 3: ‘μ’ symbol shows mean values of data set. At last we have to write the final answer for standard deviation.

Let’s understand it with the help of small example:

Find the standard deviation for the given data values 10, 20, 30, 40.

Solution: To solve it we need to follow the above steps so that we can easily solve the standard deviation.
Step 1 : Formula to find standard deviation is given as σ = √[(1 / N) Σi (xi - μ) ²], here value of N = 4, so we find mean of given data values.

Mean = μ = 10 + 20 + 30 + 40;

μ = 100 / 4, μ = 25.
Step 2: Then find the value of (xi - μ)², xi = the random variable, i.e. 10, 20, 30, 40;

(10 - 25)² = 225,

(20 - 25)² = 25,

(30 - 25)² = 25,

(40 - 25)² = 225,

-------------------------

                 = 500,

--------------------------

Σ ( xi - μ )² = 500,

Step 3 : Then the variance is given as: Variance = Σ ( xi - μ )² / N,

Variance = 500 / 4, Variance = 125;
Standard deviation = σ = √[(1 / N) Σi (xi - μ)²]; put given values in formula to get answer. σ = √ [(1 / 4) 125],

At last we get the value of standard deviation is 11.180.

Specific Heat of Ice is given as  2.108 kJ/kgK. icse syllabus for class 1 is important for class first student.

How To Find The Range Of A Function

Hi friends, in this blog we will see How To Find The Range Of A Function. Function is taken to show a association between set of inputs values and set of outputs values in such a way that every value of input is associated to exactly one value of output. Let we have a function f (r) = r / 6 (f of ‘r’ is ‘r’ divided by the value 6") is a function. So if we are going to put the value of ‘r’ as 6 then we get the value of function as 1, it can be written as: f (6) = 6 / 6 = 1,

Now we will understand how to calculate range of a function. In function, all the ‘y’ coordinate values are said to be range of a function. In the same way we can also find out the domain of a function, all the possible terms of ‘x’ coordinate are known to be domain of a function. Let we have given some values (12, -18), (-71, 84), (53, -42), (-25, 17), then range of function is all the ‘y’ coordinate terms.

Domain = 12, -71, 53, -25.

Range is all ‘y’ coordinate values,

Range = -18, 84, -42, 17.

Let's understand that how to calculate the range of a function. Some steps are taken to calculate the range of a given function which are shown below:

Step1: To calculate the range of a function first have to take a function which contains ‘x’ and ‘y’ coordinates.

Step2: As we discuss above the range of a function is all ‘y’ coordinates values.

Step3: In above function the terms of ‘x’ and ‘y’ coordinate are there then we can easily calculate the range and domain of a function.

In this way we can easily find out the range of a function.

Now we will see Properties of Acids.

Acids are sour in taste. It is also turn blue litmus paper to red. Free download cbse books to get more information about properties of acids.

 

How to Find the Domain of a Function

Hi friends, we will study different types of functions such as linear function, quadratic function and so on. Here we will see How to Find the Domain of a Function. Function can be defined as a tool used to confirm the relationship between the given values. Now we will see how to find the domain of a function. Generally, functions are defined as f (u) here ‘u’ is the value that we given it. Like, f (s) = s / 2 ('f' of 'p' is divided by 2) is a function. Here we can find out different values on putting the different value of variable s.

For calculating the domain of function first we need to discuss about what the domain of a function is. If we select the entire values of x - coordinates in the given function, then these x- coordinates values are said to be the domain of a function. In same way we can also find the range of a function, all possible ‘y’ coordinate values are known as range of a function. Let we have some values (4, -6), (-3, 7), (15, -9), (-19, 8), then domain of function can be obtained as:

The domain of a given function = 4, -3, 15, -19.

Range is all ‘y’ coordinate values,

Range = -6, 7, -9, 8. Now we will understand that how to find domain of a function in details. We will see some steps to calculate domain of a function:

Step 1: To find the domain of a function first we assume a function which contains ‘x’ and ‘y’ coordinates.

Step 2: As we discuss above the domain of a function is all ‘x’ coordinates values.

So if we have values of ‘x’ and ‘y’ coordinates then we easily find the domain and range of a function. This is all about the domain of a function.

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graphing exponential functions

In the previous post we have discussed about How To Find The Range Of A Function and In today's session we are going to discuss about graphing exponential functions. Exponential functions are the kind of functions that can be represented in ex. Here the variable e can be defined as a number that has approx value equal to 2.7183. The basic reason behind the popularity of exponential functions is that it is a function that models a relationship between constant change and a proportional change of independent variables. The most basic exponential function’s notation is given below:

y = e^x

In the above given notation the value of y depends on the exponential value of x. In the same aspect, the value of get increases faster when the value of x increases. Here we are going to discussing how to Graphing Exponential Functions. In this concept we study how to plot a exponential functions on a graph. Before discussing about this topic we need to clear one thing that we required a little bit knowledge about a graph that helps us on plotting exponential function’s value on graph. The graph of exponential function’s always lies above the x – axis and some time get very closer to the x – axis at the negative side of x but in both cases it do not touch the x – axis. So, finally at the time of graphing exponential function we need to follow some steps that are given below: (know more about graphing exponential functions  , here)

I ) From starting a table that records all the values of y which is calculated on the basis of y.

II ) To calculate the value of y we required to use the properties of exponents .

III) When above given both step completed then plot the points on graph.

IV ) After that draw a line according to the plotted points.

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How To Find The Range Of A Function

Range is the difference between greatest data value and least data value.
Suppose there is two set of data value first  one is X( a,b,c,d) and second one is Y(p,q,r,s).
If a function ‘f’is defined from set X to set Y then for f:X->Y , set x is called the domain of function f and set y is called co-domain function of f. The set of f images of the elements of x is called the range of function .
So in this case
Range = p,q,r

How to find the range of a function
#The easiest way to the range is on the graph. The range of the function is the range of y values it enclose.
#If domain is given, the range is the range of y values  corresponding to x values in the domain.
# check if function repeats. Any function which repeats along the x-axis will have the same range for the entire function.
Example: sin(x) has a range of -1
#The domain of a function’s inverse function is equal to that function’s range.
#Take a derivative of the graph. Find the y values at these points and the ends of the domain and take the most extreme ones as the boundary of the range. (know more about Range, here)

 Example: find the range of the function : g(x)= x/3+5 if the domain is -6,-3,0,3,6
Solution: we know that domain is the values x takes. Range is the corresponding values of the function takes.
Here g(x)= x/3+5.
For example when x=-6,we get -6/3+5=3
When x=-3, we get -3/3+5=4
When x=0, we get 0+5=5
When x=3, we get 3/3+5=6
When x=6, we get 6/3+5=7
So the range is (3,4,5,6,7)
In cbse syllabus for class 9th 2013 , specific heat equation is given by
Q = mc delta T
Where Q is amount of heat needed
M is the mass
C is specific heat capacity
Delta t = temperature difference.