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Facts regarding linear equations, To solve out linear equations we will mak...

To solve out linear equations we will make heavy use of the following facts. 1. If a = b then a + c = b + c for any c.  All it is saying that we can add number, c, to both sides

Progressions, We will look at three types of progressions called Ar...

We will look at three types of progressions called Arithmetic, Geometric and Harmonic Progression. Before we start looking at the intricacies of these let us unders

Find the area of shaded region of circle of radius, Find the area of shaded...

Find the area of shaded region of circle of radius =7cm, if ∠AOB=70 o , ∠COD=50 o and ∠EOF=60 o . (Ans:77cm 2 ) Ans:    Ar( Sector AOB + Sector COD + Sector OEF) =  7

Quadratic equations, Q UADRATIC EQUATIONS: For  the  things  of this  wor...

Q UADRATIC EQUATIONS: For  the  things  of this  world  cannot  be  made  known without  a  knowledge of mathematics. Solve by factorization a.    4x 2 - 4a 2 x +

Find the least number that is divisible by all numbers, Find the  leas...

Find the  least  number that  is  divisible by all  numbers between 1  and  10  (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2  × 2

Uniform distribution over the interval, High temperatures in certain city i...

High temperatures in certain city in the month of August follow uniform distribution over the interval 60-85 F. What is probability that a randomly selected August day has a Temper

Mixing problems, Let's start things by searching for a mixing problem.  Pre...

Let's start things by searching for a mixing problem.  Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of

Exercise of concrete operational stage, Which of the following statements d...

Which of the following statements do you think are true about children? Indicate with 'T' for true and for false. Give reasons for your choice. a) Most primary school children a

Relation is not a function, The following relation is not a function.   ...

The following relation is not a function.                   {(6,10) ( -7, 3)  (0, 4)  (6, -4)} Solution Don't worry regarding where this relation came from.  It is only on

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