Happy MMXIV !! For those not good with Roman Numerals,

M = 1,000

X = 10

I = 1

V = 5

Not used in 2014 are some commonly used Roman Numerals

C = 100

L = 50

Remember IV = 4, IX = 10, CM = 900

## Monday, December 30, 2013

## Monday, December 23, 2013

## Thursday, December 19, 2013

1, 8, 27, 64, 125, 216, 343, 512, 729, 1000

The formulas for factoring sum and difference of cubes are as follows:

a^3+ b^3 = (a+b)(a^2 - ab + b^2)

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

You can remember the terms by thinking of a and b in the first set of parentheses then squaring a, multiplying a and b and squaring b. The signs between terms for sum of cubes is same, negative, positive and for difference of cubes it's negative, positive, positive.

You can remember the signs another way.. Same, Opposite, Always Positive. If you remember the word SOAP it will help you get the correct signs when factoring.

## Thursday, December 12, 2013

Remember that sin^2(x) + cos^2(x) = 1

1 + tan^2(x) = sec^2(x)

1 + cot^2(x) = csc^2(x)

csc(x) = 1/sin(x)

sec(x)= 1/cos(x)

tan(x) = sin(x)/cos(x)

cot(x) = 1/tan(x) = cos(x)/sin(x)

Because all the trig functions are based off of sine and cosine, you can clearly see why this would be a benefit when verifying.

It's also a benefit when solving trigonometric equations.

## Saturday, December 7, 2013

Suppose you flip a coin and want to know what the probability that the first head you obtain is on the 3 third roll. This is a geometric probability distribution problem.

Whenever you want to know the probability of some event occurring for the first time on the xth trial, you have a geometric probability distribution problem.

## Monday, December 2, 2013

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