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Rational and irrational numbers, RATIONAL NUMBERS All numbers of the ty...

RATIONAL NUMBERS All numbers of the type p/q where p and q are integer and q ≠0, are known as rational. Thus  it can be noticed that every integer is a rational number

General approach of exponential functions, General approach of Exponential ...

General approach of Exponential Functions : Before getting to this function let's take a much more general approach to things. Let's begin with b = 0 , b ≠ 1. Then an exponential f

Rational exponents, Now we have to start looking at more complicated expone...

Now we have to start looking at more complicated exponents. In this section we are going to be evaluating rational exponents. i.e. exponents in the form

Queuing Theory, A telephone exchange has two long distance operators.The te...

A telephone exchange has two long distance operators.The telephone company find that during the peak load,long distance calls arrive in a poisson fashion at an average rate of 15 p

Produce list containing m-vectors delta and lambda, The logarithm of the Po...

The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve

Differential equations and group methods, solve the differential equation ...

solve the differential equation dy/dx=f(y)x^n+g(y)x^m by finding a one-parameter group leaving it invariant

Find the number of students in the class, Students are made to stand in row...

Students are made to stand in rows. If one student is extra in a row there would be 2 rows less. If one student is less in a row there would be 3 rows more. Find the number of stud

Directional derivatives, What are directional derivatives? Explain with two...

What are directional derivatives? Explain with two or more examples..

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