integers, Mathematics

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Definition of natural exponential function, Definition of Natural exponenti...

Definition of Natural exponential function:   The natural exponential function is f( x ) = e x   where, e= 2.71828182845905........ . Hence, since e > 1 we also know that e x

Pair of linear equations in two variables, PAIR OF LINEAR EQUATIONS IN TWO ...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like  the  crest  of a  peacock so  is  mathematics  at the  head of all knowledge. Example At a certain time in a deer park, t

How to find total no. of unordered pairs , How to find total no. of unorder...

How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into

History of Mathematics, What are the key features of Greek Mathematics? How...

What are the key features of Greek Mathematics? How does the emphasis on proof affect the development of Greek Mathematics?

Find var (3x+8) where x is a random variable, If Var(x) = 4, find Var (3x+8...

If Var(x) = 4, find Var (3x+8), where X is a random variable. Var (ax+b) = a 2 Var x Var (3x+8) = 3 2 Var x = 36

Extreme value theorem, Extreme Value Theorem : Assume that f ( x ) is cont...

Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and

Geometry, find h in the parallelogram

find h in the parallelogram

The point which divides a gven line - segment externally, The point which d...

The point which divides a gven line - segment externally: Construction : i )Draw BX making an actue angle at B. ii) Starting from B mark three equal points on BX as sh

Method for simultaneous equations of two or more variables, Method In ...

Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to

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