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Wednesday, December 12, 2012
Monday, December 10, 2012
Wednesday, November 28, 2012
Unit K Concept 10: Student Problem 7
What is this problem about?
- This problem is about repeating decimals.
- In this problem, I demonstrate how to convert a repeating decimal in to a ratio for a geometric sequence/series.
What does the viewer need to pay special attention to in order to understand the concept?
- The reader must understand why we use each step.
- First we split it up in to a series, and then we find the ratio.
- The ratio will help us determine whether it converges or not, most of the time the ratio is less than one, and it should converge since decimals are always less than one.
- The summation should be infinite, meaning there are an infinite amount of possibilities instead of one constant summation.
Fibonacci Haiku (Basketball)
Fibonacci Haiku "Basketball"
Basketball,
Shoes,
point guard,
Pick and roll.
The game is quite complex.
Before you start running, make your muscles stretch.
Sunday, November 4, 2012
Student Problem 6: Unit J Concept 6
- This Problem is about decomposing partial fractions with repeated factors. Instead of having two constants, we can have a numerous amount. In this problem I demonstrate how to decompose a partial fraction with a cubed denominator.
- When solving we must be careful not to mess up the numerators. Also, in our solution we have a 0 as a numerator and that will be equivalent to nothing so there is no need to write it as our answer.
Student Problem 5: Unit J Concept 5
- This problem is about decomposing distinct factors. In this problem we are taking the equation and breaking it down into a decomposed fraction.
- The reader must understand that when splitting these fractions, we must have a constant as the numerator's position. When we finish solving, our constants will be substituted creating our decomposed fraction.
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