OPERATIONS RESEARCH., Mathematics

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Theorem of reduction of order, In this theorem we identify that for a speci...

In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation  y′′ + p (t ) y′ + q (t

Determine that the series is convergent or divergent, Determine or find out...

Determine or find out if the subsequent series is convergent or divergent.  If it converges find out its value. Solution To find out if the series is convergent we fir

Define natural numbers, Q. Define natural numbers Ans. The natural...

Q. Define natural numbers Ans. The natural numbers (also called the counting numbers) are the numbers that you "naturally" use for counting: 1,2,3,4,... The set of n

Functions of limits, Following is some more common functions that are "nice...

Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid

Elementary row operations to reduce the augmented matrix, Consider the syst...

Consider the system of linear equations X + ay = 1 2x + 8y = b Where a and b are real numbers. (a)  Write out the augmented matrix for this system of linear equations.

Example of learning to count, A parent shows his child four pencils. He pla...

A parent shows his child four pencils. He places them in a row in front of her and says "one" as he points to the first pencil, "two" as he points to the second one, "three" as he

Equation of line which perpendicular to the given line, Perpendicular to th...

Perpendicular to the line given by 10 y + 3x= -2 For this part we desire the line to be perpendicular to 10 y + 3x= -2 & so we know we can determine the new slope as follows,

What is the difference between the two models listed above?, E1) What is th...

E1) What is the difference between the two models listed above? Which is more difficult for children to understand? E2) List some activities and word problems that you would exp

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