Archive for the 'Mathematics' Category

Integrals

Monday, March 30th, 2009

Integration is a concept in calculus that is the inverse of differentiation. Integration, or anti differentiation, is useful in determining solutions to problems involving acceleration, distance, and velocity. It also has numerous biological applications, such as the growth of bacteria in colonies or the amount of medication remaining in one’s bloodstream at a given time.

Rules of logarithm functions and their graphs.

Sunday, February 15th, 2009

logbb = 1
because b1 = b
logb1 = 0
because b0 = 1
logee2x = 2x
because e2x = e2x
logbbx = x
because bx = bx
elogee2x = e2x
because logee2x = logee2x
logex = logx / loge
the inverse of y=logbx is by=x
3 points that always exist in a log
( 1/b , -1 )
( 1 , 0 )
( b , 1 )
When b […]

Trignometry

Saturday, January 31st, 2009

More Trigonometric Identities Revealed
For today there is another question from Yahoo Answers, also about trigonometric identities. This time it’s not about simple ones like before, but a more complex one, like the ones I sometimes answer on super math tips. Here it is:
Prove:
(cos 4x + cos 2x) / (sin 4x + sin 2x) = cot […]