matrices, Mathematics

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solving sums

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Example of fraction, Example  Reduce 24/36 to its lowest terms. 2...

Example  Reduce 24/36 to its lowest terms. 24/36=12/18=6/9=2/3. In the first step we divide the numerator and the denominator by 2. The fraction gets reduced

Fermats theorem, Fermat's Theorem  If f(x) has a relative extrema at x...

Fermat's Theorem  If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.

Definition of the laplace transform, Definition Assume that f(t) is a ...

Definition Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by, There is an optional notation for L

Models of energy production, Find models of energy production and energy us...

Find models of energy production and energy usage from 2 different countries, each on a different continent, which predict future energy production and demands. How was data collec

Example of subtraction , Example of subtraction: Example: Subtrac...

Example of subtraction: Example: Subtract 78 from 136. Solution:     2 136 -78 ------  58 While subtracting the units column, 6 - 8, a 10 that is b

Find integer if sum of two consecutive odd integers is -112, The sum of two...

The sum of two consecutive odd integers is -112. What is the larger integer? Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 n

Circle, Circle Well, let's recall just what a circle is. A circle is al...

Circle Well, let's recall just what a circle is. A circle is all the points which are the similar distance, r - called the radius, from a point, ( h, k ) - called the center. I

Solving equations, darien agrees to sponsor her sister $8 plus $1 for every...

darien agrees to sponsor her sister $8 plus $1 for every mile she walks.Write an expression to show her total money

Two circles c(o, Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other ...

Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally.  Construction: join OP and O 1 P . Proof : we know that if two circles touch each

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