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Ajit Mishra’s Online Classroom: Functions in R

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Ajit Mishra’s Online Classroom: Functions in R.

This is another blog post released from my Online Classroom of Mathematics . It is a discussion about Functions in R as real sequence .

To see this blog post in detail please click on the given Image or Link .

Ajit Mishra’s Online Classroom: Laws Of Motion

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Ajit Mishra’s Online Classroom: Laws Of Motion.

Today My Online Classroom of Mathematics released this blog post about Law of Motion . Here is a mathematical discussion about this law of motion .

Laws Of Motion
Laws of Motion discovered by Newton , They are as follows ; Law 1  :-     Every body  perseveres in its state of rest or of uniform motion in a straight line unless it will compelled to change that state by impressed force . Law 2  :-     The rate of chan…

To see this blog post in detail please click on the given Image or Link .

Ajit Mishra’s Online Classroom: Properties of Continuous Function

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Ajit Mishra’s Online Classroom: Properties of Continuous Function.

This is again a blog post released from my Online Classroom of Mathematics . In this post here is a discussion about an Important properties of Continuous function .

To see this blog post in detail please click on the given Image or Link

Ajit Mishra’s Online Classroom: Intervals in R

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Ajit Mishra’s Online Classroom: Intervals in R.

Real Analysis is an Important part of Mathematics . In this blog post which is released from my Online Classroom of Mathematics  is a discussion about “Intervals in R” . This is a very important topic of Real Analysis .

To see this blog post in detail please click on the given Image or Link .

Ajit Mishra’s Online Classroom: Differentiability Theorem

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Ajit Mishra’s Online Classroom: Differentiability Theorem.

Theorem :-  A function   f    is differentiable  at     x=a     if and only if there exists a number   l    .
such that ;

    f(a+h)-f(a)=lh+hn

Where     n    denotes a quantity which tends to    0     as   h–>0     .

This theorem is known as Differentiability Theorem .

To see the proof of this theorem please click on the given Image or Link .

Ajit Mishra’s Online Classroom: Motion Of A Particle

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Ajit Mishra’s Online Classroom: Motion Of A Particle.

Principles in  the formation of the Equation of Motion of a Particle :-  

For Motion in Straight Line ;

Let the mass of the body (particle) be    m    and let the distance of the particle measured from a suitable origin be   x   at the time  t   .

Then acceleration is      (d/dt)(dx/dt)

therefore by Second Law of Motion

m[(d/dt)(dx/dt)] = Forces in the direction of    x   increasing

This is a very important blog post released from my Online Classroom about the equation of motion of a particle which is a very important application of Differential Calculus and useful in Mathematics , Physics , Engineering and Science .
To see this blog post in  detail please click on the given Image or Link

Ajit Mishra’s Online Classroom: Equations of First Order

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Ajit Mishra’s Online Classroom: Equations of First Order.

In this post we will discuss about the equation of first order but not first degree .It is usually denoted

dy/dx    by   p .

Thee are three types of such equations

1) Equations solvable for .
2)Equation solvable for    y  .
3)Equation solvable for    .

This is my another blog post released from my Online Classroom of Mathematics . In which we have discussed about the equation of first order but not first degree . which is very important topic in math and very useful in Physics , Engineering and Science  also .

To see this blog post in details please click on the given Image or Link .

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