set theory, Mathematics

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Factorization example, Example  Factorize x 2 - 4x + 4. If ...

Example  Factorize x 2 - 4x + 4. If we substitute x = 1, the value of the expression will be (1) 2 - 4(1) + 4 = 1 If we substitute x = -1, the value o

Find out the roots of the quadratic equation, Find out the roots of the fol...

Find out the roots of the following quadratic equation. 3x 2 + 7x = 0 Solution: Using Equation 6, one root is determined. x = 0 Using Equation 7, substitute the

Lucy youth group increased $1, Lucy's youth group increased $1,569 for char...

Lucy's youth group increased $1,569 for charity. They decided to split the money evenly between 3 charities. How much will each charity receive? Divide the money raised through

Vector arithmetic - addition, Vector Arithmetic In this part we need t...

Vector Arithmetic In this part we need to have a brief discussion of vector arithmetic. Addition We will begin with addition of two vectors. Thus, given the vectors a

Series is converges or diverges - limit comparison test, Determine if the f...

Determine if the following series converges or diverges by using limit comparison test. Solution To make use of the limit comparison test we require to find out a seco

Algebra 1A, The m&m factory produces 2,500 packs of plain m&ms each day. R...

The m&m factory produces 2,500 packs of plain m&ms each day. Represent the total number of packs of plain m&ms the factory makes each day

Define symmetric, Define symmetric, asymmetric and antisymmetric relations....

Define symmetric, asymmetric and antisymmetric relations.    Ans: Symmetric Relation A relation R illustrated on a set A is said to be a symmetric relation if for any x,

Allied mathematics, The tenth term in the binomial expansion of (1-1/4)(1-1...

The tenth term in the binomial expansion of (1-1/4)(1-1/5)(1-1/6)...(1-1/n+3) is equal to

Determine the velocity and position functions of object, Determine if the a...

Determine if the acceleration of an object is given by a → = i → + 2 j → + 6tk → find out the object's velocity and position functions here given that the initial velocity is v

How to convert percentages to decimals, Q. How to Convert Percentages to De...

Q. How to Convert Percentages to Decimals? Ans. Since percent stands for "hundredths", to write a percentage as a decimal you just need to find how many hundredths it repr

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