SIMPLIFICATION, Mathematics

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Taylor series - series solutions to differential equations, Once we get out...

Once we get out of the review, we are not going to be doing a lot with Taylor series, but they are a fine method to get us back into the swing of dealing with power series. Through

The price of gasoline is $1.349 cents per gallon, The price of gasoline is ...

The price of gasoline is $1.349 cents per gallon. If the price increases through three tenths of a cent, what will the price of gasoline be? Three tenths of a cent can be writt

Standard interpretations to derivatives, Standard interpretations to deriva...

Standard interpretations to derivatives Example   Assume that the amount of money in a bank account is specified by                                       P (t ) = 500 + 10

Utilizes the definition of the limit to prove the given limi, Utilizes the ...

Utilizes the definition of the limit to prove the given limit. Solution In this case both L & a are zero.  So, let ε 0 so that the following will be true. |x 2 - 0|

Integers, The set of whole numbers also does not satisfy all our requ...

The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To

Circles, If the distances from origin of the centres of 3 circles x 2 +y 2 ...

If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+

Law of cosines - vector, Theorem a → • b → = ||a → || ||b → || cos• ...

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

What division means, WHAT DIVISION MEANS :  Ask any primary school teacher...

WHAT DIVISION MEANS :  Ask any primary school teacher which areas in arithmetic the children find very difficult. Division will probably top her list. This is not surprising. If y

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