Whole Number Worksheets
Whole Number WorkSheets :- We have studied about the counting numbers.
The numbers
used for counting are called natural numbers.
1, 2, 3, 4, ------- up to infinite are all natural
numbers.
If we add 0 to the set of natural numbers, it becomes the set of whole numbers.
This means, the set of whole numbers is...
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Whole Number Worksheets Whole Number WorkSheets :- We have studied about the counting numbers. The numbers used for counting are called natural numbers. 1, 2, 3, 4, ------- up to infinite are all natural numbers. If we add 0 to the set of natural numbers, it becomes the set of whole numbers. This means, the set of whole numbers is 0, 1, 2 , 3,………. up to infinite are called whole numbers. A set of whole numbers is used for various measurements may it be distance, speed, weight , volume or any other measurement. We observe that every natural number has a successor, which we can get by adding 1 to any given whole number. For instance, successor of 245 is 245 + 1 = 246, successor of 890 is 890 + 1 = 891. Similarly we see that every whole number except 0 has a predecessor, which we can get by subtracting 1 from the given number. As we can see, the predecessor of 45 is 45 – 1 = 44, predecessor of 900 is 900 – 1 = 899. Here are some of the properties of whole numbers : Know More Ab
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From sharma deepak
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Pub. on May 19th 2012
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Analytic Geometry Problems
Analytic geometry, or analytical geometry has two different meanings in mathematics.
The
modern and advanced meaning refers to the geometry of analytic varieties.
This article
focuses on the classical and elementary meaning.
In classical mathematics, analytic geometry, also known as coordinate geometry, or...
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Analytic Geometry Problems Analytic geometry, or analytical geometry has two different meanings in mathematics. The modern and advanced meaning refers to the geometry of analytic varieties. This article focuses on the classical and elementary meaning. In classical mathematics, analytic geometry, also known as coordinate geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the synthetic approach of Euclidean geometry, which treats certain geometric notions as primitive, and uses deductive reasoning based on axioms and theorems to derive truth. Analytic geometry is widely used in physics and engineering, and is the foundation of most modern fields of geometry, including algebraic, differential, discrete, and computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and squares, often in two and sometimes in three dimensi
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From sharma deepak
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Pub. on May 19th 2012
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Anti Derivative Of Arctan
What is the method of finding Antiderivative of Arctan? It is very simple let’s start learning
about the method of finding the Antiderivative of Arctan which can also be written as ∫ tan^-1
x.
For finding ∫ tan^-1 x we will use derivative of trigonometric identities and the by parts method
according to...
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Anti Derivative Of Arctan What is the method of finding Antiderivative of Arctan? It is very simple let’s start learning about the method of finding the Antiderivative of Arctan which can also be written as ∫ tan^-1 x. For finding ∫ tan^-1 x we will use derivative of trigonometric identities and the by parts method according to which ∫f(x) * g(x) = f(x) ∫ g(x) - ∫d/dx f(x)* ∫g(x) dx. It is very simple let’s startlearning about the method of finding the Antiderivative of Arctan which can also bewritten as ∫ tan^-1 x. For finding ∫ tan^-1 x we will use derivative of trigonometric identities and the by partsmethod according to which ∫f(x) * g(x) = f(x) ∫ g(x) - ∫d/dx f(x)* ∫g(x) dx. For using this method we have to first decide which function between f(x) and g(x) willbe considered as a first function and which will be second function. For choosing first function and second function between f(x) and g(x) we use a simpleand very useful abbreviated form known as ILATE whereI=inverse fu
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From sharma deepak
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Pub. on May 19th 2012
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Antiderivative Of Sin2x
The definition of Antiderivative is, ∫ g (x) dx = f(x )+ c, where d f(x) /dx = g(x).
The following
are the integrals of the trigonometric functions.
Following are the integrals or antiderivatives of
the sin, cos, tan, cot, cosec etc.
functions.
For general if the sin x is a trigonometric function then cos...
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Antiderivative Of Sin2x The definition of Antiderivative is, ∫ g (x) dx = f(x )+ c, where d f(x) /dx = g(x). The following are the integrals of the trigonometric functions. Following are the integrals or antiderivatives of the sin, cos, tan, cot, cosec etc. functions. For general if the sin x is a trigonometric function then cos x is the derivative of that function. Antiderivatives of some of the sin function are as follows- ∫ sin ax = - (1/a) cos ax + c ∫ sin n ax dx = - sin (n-1) . ax . cos ax / na + (n-1 )/ n . ∫ sin n-2 ax dx cos ax / na + (n-1 )/ n . ∫ sin n-2 ax dx ( for n > 2 ) Antiderivative of the two cos functions are as following- ∫ cos ax dx = (1/a) sin ax +c ∫ cosn ax dx = cos n-1 ax . sin ax / na + ( n-1 / n ) . ∫ cos n-2 ax dx (for n > 0) Integral of the tan x is defined as the formula below ∫ tan ax dx = -( 1 / a ) log ( cos ax ) + c Antiderivative of the \secant function is defined as follows- ∫ sec ax dx = ( 1 / a ) log (sec ax + tan ax ) + c Integral of th
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From sharma deepak
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Pub. on May 18th 2012
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Antiderivative Trig
The definition of Antiderivative is, ∫ g (x) dx = f(x )+ c, where d f(x) /dx = g(x).
The following
are the integrals of the trigonometric functions.
Following are the integrals or antiderivatives of
the sin, cos, tan, cot, cosec etc.
functions.
For general if the sin x is a trigonometric function then cos x is...
More
Antiderivative Trig The definition of Antiderivative is, ∫ g (x) dx = f(x )+ c, where d f(x) /dx = g(x). The following are the integrals of the trigonometric functions. Following are the integrals or antiderivatives of the sin, cos, tan, cot, cosec etc. functions. For general if the sin x is a trigonometric function then cos x is the derivative of that function. Antiderivatives of some of the sin function are as follows- ∫ sin ax = - (1/a) cos ax + c ∫ sin n ax dx = - sin (n-1) . ax . cos ax / na + (n-1 )/ n . ∫ sin n-2 ax dx cos ax / na + (n-1 )/ n . ∫ sin n-2 ax dx ( for n > 2 ) Antiderivative of the two cos functions are as following- ∫ cos ax dx = (1/a) sin ax +c ∫ cosn ax dx = cos n-1 ax . sin ax / na + ( n-1 / n ) . ∫ cos n-2 ax dx (for n > 0) Integral of the tan x is defined as the formula below ∫ tan ax dx = -( 1 / a ) log ( cos ax ) + c Antiderivative of the \secant function is defined as follows- ∫ sec ax dx = ( 1 / a ) log (sec ax + tan ax ) + c Integral of the co
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From sharma deepak
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Pub. on May 18th 2012
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Applications Of Integration
One of the important fields of mathematics is integration.
The meaning of Integration can vary
according to the use.
There are various fields in which it can be used like social and economy,
mathematics, engineering and many more.
Isaac Newton and Gottfried Leibniz in the late 17th
century formulated the...
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Applications Of Integration One of the important fields of mathematics is integration. The meaning of Integration can vary according to the use. There are various fields in which it can be used like social and economy, mathematics, engineering and many more. Isaac Newton and Gottfried Leibniz in the late 17th century formulated the concepts of Integration. They independently developed the fundamental theorem of calculus. Integration is closely related to differentiation. There are many fields that utilize Application of Integration. Finding out the area under the curve was considered a difficult job in the earlier times but by using integration we can easily calculate it. There are many fields where integration is used like engineering, physics, economics, electronics and even in daily life too. A very useful application of integration is in the field of distance or displacement, velocity or speed and acceleration. We can easily find out an expression of displacement by integ
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From sharma deepak
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Pub. on May 18th 2012
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Can Irrational Numbers Be Negative
The best way of understanding that negative of an irrational number is an irrational number or
can Irrational Numbers be negative is mention below.
Friends first we discuss about irrational number:- irrational number are number that can be
represented by a fraction.
Means they don’t have...
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Can Irrational Numbers Be Negative The best way of understanding that negative of an irrational number is an irrational number or can Irrational Numbers be negative is mention below. Friends first we discuss about irrational number:- irrational number are number that can be represented by a fraction. Means they don’t have terminating or repeating decimal. Example of irrational number is Pi (3. 14) Friends let us discuss about the topic of a irrational number can be negative: we can say that a negative irrational number definitely is irrational number. Let us take a simple example to prove that negative of an irrational number is an irrational. Suppose Y is an irrational number but –y is rational number that means –y= p/q for some integer p and q . That’s a contradiction because y=-(-y) =? Irrational number cannot be obtained be dividing one integer by another. So -1/3=-0. 333 is not a irrational because it is obtained by the ratio of two integer. 1 and 3. Know More About Anti
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From sharma deepak
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Pub. on May 18th 2012
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Antiderivative Of Cos2x
There are no anti Differentiation Formulas but from our knowledge of differentiation,
specifically the chain rule, we know that 4x3 is the derivative of the function within the square
root, x4 + 7.
We must also account for the chain rule when we are performing integration.
To do this, we
use the substitution...
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Antiderivative Of Cos2x There are no anti Differentiation Formulas but from our knowledge of differentiation, specifically the chain rule, we know that 4x3 is the derivative of the function within the square root, x4 + 7. We must also account for the chain rule when we are performing integration. To do this, we use the substitution rule. The Substitution Rule states: if u = g(x) is a differentiable function and f is continuous on the range of g, then, So integration of 4x^3* Will be: 2/3+c, We have to follow some of the simple rules by looking at derivatives of the functions: example the antiderivative of x^k will be x^k+1/ka+1. A function F is an antiderivative of f on an interval I, if d/dxF(x) = f(x). This is a strong indication that that the processes of integration and differentiation are interconnected. We know Integral of Cosx is defined as Sinx +c. So antiderivative of cos2x will be Sin2x/2 + c following chain rule and substitution rule. Subsequent to finding an indefini
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From sharma deepak
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Pub. on May 18th 2012
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Application Of Differential Calculus
In mathematics, differential calculus is a subfield of calculus concerned with the study of the
rates at which quantities change.
It is one of the two traditional divisions of calculus, the other
being integral calculus.
The primary objects of study in differential calculus are the derivative of a...
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Application Of Differential Calculus In mathematics, differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus. The primary objects of study in differential calculus are the derivative of a function, related notions such as the differential, and their applications. The derivative of a function at a chosen input value describes the rate of change of the function near that input value. The process of finding a derivative is called differentiation. Geometrically, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. For a real-valued function of a single real variable, the derivative of a function at a point generally determines the best linear approximation to the function at that point. Differential calculus and integral calculus are connected by the fundamental theorem of calculus, w
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From sharma deepak
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Pub. on May 17th 2012
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Converting Whole Numbers To Fractions
First, remember that 2 = 2/1.
In other words any number over the number 1 will always be that
number.
For example :- 1 = 1/1, 2 = 2/1, 3 = 3/1 and so on.
Now, had 2 = 4/2.
First, 4/2 can be
reduced to 2/1, since you can divide 2 into both the numerator and the denominator.
Always
check to see...
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Converting Whole Numbers To Fractions First, remember that 2 = 2/1. In other words any number over the number 1 will always be that number. For example :- 1 = 1/1, 2 = 2/1, 3 = 3/1 and so on. Now, had 2 = 4/2. First, 4/2 can be reduced to 2/1, since you can divide 2 into both the numerator and the denominator. Always check to see if the fraction can be reduced first. This makes the problem faster and easier to solve. More examples of reducing first are :- 6/3 = 2/1 since because the number is both the numerator and the denominator. Then 2/1 = 2. Try 6/2 = 3/1 = 3. You should understand by now. Decimals are different but they all can be converted to fractions. When there is a decimal in a number, any number to the right of the decimal is less than one. Any number to the left of the decimal is equal to or greater than the number one. For example: 0. 5 = 5/10 = 1/2 when reduced. Also, in your problem you had 1. 5 and this is the same as 1. 0 added to 0. 5 and equals 1. 5. K
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From sharma deepak
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Pub. on May 17th 2012
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