word problem help

In the previous post we have discussed about Relations and Functions and In today's session we are going to discuss about word problem help. The study of mathematics is basically aimed with relating it with the real life so that the objective of studying math is fulfilled.  Our life basically related to math at every angle of life.
By word problems we mean that the statements of the problems are given from the real life and we need to get the solution to the problem by understanding the mathematical operation to be performed.  To get word problem help, we can visit online math tutors which can support us to learn the logics to be used in solving the word problems.
We need to master the concept of analyzing the type of the problem and then check which mathematical operation will be performed on the given problem in order to get the solution. We are given certain tips to find the key words which help us to check the operation to be performed. Suppose we have the key words like add, sum, join, combined, greater, in all etc. we simply conclude that the sum of the digits will  help us to get the solution of the problem. In the same way if we have the words like less, reduce, decreased by etc help us to get the solution  for the given problem.

Students can take online help to  learn how to perform the operations of maths and solve the word problems. Different practice worksheets are also available online which help to develop the confidence. They help us to practice variety of word problems and get the real exposure to a variety of problems.
We also have the topic  Polar Moment of Inertia, which can be learned online. It is one of the topic in class 9^th. We can find  ntse sample papers online, which can be used for the preparation of the ntse exam conducted for the students of class X.

Relations and Functions

In the previous post we have discussed about Rotation Matrix and In today's session we are going to discuss about Relations and Functions. In mathematics, there are various ways are described that can maintain data in records in quick and accessible manner. Regarding to these technology relation and function are one of them. A Relations and Functions are two different things but they together to perform any particular task. A relation can be describing as a relationship between sets of data or values. Suppose there is a class in school. There are thirty students in class and each student has their own marks in particular subject. Now make a pair between names of students and their marks are known as relation.
On other hand arrange a pair of data in particular order can be considering as function. In the simple mean we can define the concept of Relations and Functions by using the concept of ordered pair which carries two values into it. Now on the basis of ordered pair a relation can simply be define as set of ordered pairs of values Like ( a0, b). Here ( a, b) can be consider as a ordered pair where value of ‘a’ can be considered as a value of domain and the second value of ordered pair are known as range. Here two new concepts arise during discussion that is domain and other is range. Here domain is known as collection of all first value of pair and range can be defined as collection of second value of ordered pair.
By using the definition of range and domain we can say that function is a process where the domain value makes a pair with only one value of their range. In mathematics, the values of ordered pair can either be negative or positive.
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Rotation Matrix

Hi friends, in mathematics, today we will discuss about Rotation Matrix. And also we will study different method to solve the rotation matrix. Generally a rotation matrix is used to show a rotation in linear algebra. For example:

p = [ cos Ф - sin Ф]

      [ sin Ф cos Ф]

In the matrix mention above matrix points are rotated in xy – Cartesian plane ( here x is along to horizontal axis and y is along to vertical axis) through an angle Ф about the origin of coordinate system. Using the matrix multiplication we also found a rotated vector. So there is no effect of multiplication on zero vector or in other word it can be a coordinates of the origin. Commonly rotation matrix is used to calculate rotations about the origin of coordinate system. It can also be used to assist a simple algebraic description of such types of rotations and it can also be used for computation in physics, geometric, etc. If we talk about the case of three dimensional space then the rotation can be stop by given angle along a single axis of rotation. So, it can be simply calculated by an angle and vector by three entries. In case of 3x3 Rotation Matrix. It can be solved by nine entries of a rotation matrix that has three rows and three columns. It can not be used in higher dimensions. (know more about Rotation Matrix, here)

It is also said to be orthogonal matrices that has determinant value is equal to 1. It can be denoted as:

= Pa = P-1, det P = 1. this type of matrices are called as special orthogonal group. It can be denoted as 'SO (n). Entire rotational matrices are found using these matrix multiplication. For example:

= Pp (γ) Pq (β) Pr (α); it can be denoted as a rotation whose angles are α, β, γ. This is all about rotation Matrix.

Stem and leaf Plots can be defined as a method of organizing numerical data in order of place value. For the preparation of 8 class board example please prefer 8th class question papers.