OPERATIONS RESEARCH., Mathematics

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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

The shortest distance among the line y-x=1 and curve x=y^2, Any point on pa...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

Trade discount, on 30 april, anthony purchased television invoiced at rm 69...

on 30 april, anthony purchased television invoiced at rm 6999 with cash discount terms of 2/10, 1/15, n/30 and also a trade discount 1.5%, 2%, 3.25%. In order to pay the invoice, h

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what is the difference between North America''s part of the total population and Africa''s part

The distributive law, The Distributive Law :  If you were asked to mentall...

The Distributive Law :  If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th

Functions, The figure shows the sketch graphs of the functions

The figure shows the sketch graphs of the functions

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Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw

Integrate even or odd function, Integrate following. ∫ -2   2 4x 4 - ...

Integrate following. ∫ -2   2 4x 4 - x 2   + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2   2 4x 4 - x 2   + 1dx = 2∫ o

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Continuous Random Variable In the probability distribution the sum of all the probabilities was 1. Consider the variable X denoting "Volume poured into a 100cc cup from coff

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