Fibonacci Beauty Ratio

         After measuring 5 of my friends, Alexis T seemed to be the most mathematically beautiful based on the beauty ratio. I measured some of their distances from body parts to body parts and then took the ratio of those distance measurements. After finding 3 ratios, I found the average for each. When I was done finding the average for all 5 friends, I compared it with the value of phi, which represents the golden ratio, which is 1.6180339887..... Alexis T had an average of 1.542, the difference between her average and phi is .076, which was the closest out of all. I think the beauty ratio is incredibly mind-boggling because it comes up in so many things that are actually considered beautiful by us humans. That leads me to accept the validity of the beauty ratio. Also, I do consider Alexis T to be good-looking so it re-asserts my opinion about the validity of the golden ratio.

Fibonacci Haiku: Under the Water

Water

Polo

Toughest sport

Six on six

Egg beating through the water 

The crowd fills with excitement as you shoot

Your friends around you scream for you to make it, and you do

Six months of hard work, payed off by the sweet taste of victory, no longer the underdogs, prepare to witness triumph

http://www.dallasaquatics.org/wp-content/uploads/WaterVolleyball-362x174.jpg

SP#5: Unit J Concept 6 - Partial Fraction Decomposition with repeated factors

In order to understand the viewer must pay special attention to separating the initial denominator factors into separate fractions. Make sure to count up your powers and stay consistent. When multiplying by the factors make sure your work is correct or the system will be wrong. Because our answers are fractions, checking your work on the calculator with reduced row-echelon form will be hard, so another method must be used. For this method we combined rows and multiplied to get rid of variables in order to back-substitute and find the rest. Remember to reduce your fractions at the end.

SV#5: Unit J Concepts 3-4 - Solving Matrices

Hello my name is Ivan and in this video we will be solving one of our Doctor Prescription problems. The viewer must pay special attention to the type of solution we have. As seen in the video (and as seen in your work) this problem is an example of a consistent dependent solution, which means there are infinite amount of solutions. However, one must find the restrictions (which come in the form of equations) that make this statement true. To find these, we set an arbitrary value for z and used this so solve for the rest of the variables. Be careful to plug it into your calculator correctly and don't forget to keep your negative values negative. Be sure to identify the type of solution we have an highlight your zero rows to keep your work organized. Thank you and good luck!

SP#4: Unit J Concept 5 - Partial Fraction decomposition with distinct factors

In order to understand, the viewer must pay attention to both parts separately. In Composition, remember to get a common denominator and multiply the denominator by whatever you had to multiply your fraction by to get that common denominator. Double check your work or else your combination of terms will be incorrect. Use a reliable method such as box or foil. In decomposition part, make sure you set a variable on top of each of the factors and stick with it. Same idea with the common denominator but remember to keep your work organized and correct. After combining like terms, get rid of the common terms of x^2 and x. Set them equal to the original equation to find your final answer and double check your work on the graphing calculator. Good luck and thank you!

WPP#6: Unit I Concepts 3-5 - Interest and Investments

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