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Saturday, November 23, 2013

Fibonacci Haiku

Love
 
horrible.
 
heartbreaking.
 
It sucks.
 
Ruins your life.
 
Falling in love is dumb.
 
Love will only crush and break your heart.
 
 
 
 
 

Friday, November 15, 2013

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


UNIT J CONCEPT 6
PARTIAL DECOMPOSITION WITH REPEATED FACTORS
Problem difficulty 8out of 5! :)

When doing this problem dont forget to factor out the common denominator completely. Also remember that since they are repeated factor that you must count UP for how many times they reoccur. Also remember that you will end up with two three variable systems in which you can solve them. You will be using elimination to solve them. After you get one answer all you have to do in just plug bak in your answer to find the rest.




Thursday, November 14, 2013

SP #4 Unit J concept 5:Partial decomposition with distinct factors


Partial Decomposition with distinct factors


PART ONE

PART TWO



PART THREE




PART FOUR

When completing these problems you must be distribute properly and when decomposing remember to factor out the denominator FULLY. You must then separate them and use letter variables instead.Your common demoninator must be made up of the factors you need and you multiply them to the top. Dont forget that every factor it doesnt have must be multiplied. Dont forget once you start crossing off like terms that the x's cancel out. rememeber to set them equal to the same original factor it corresponds too in the original. Finally if your rref doesnt match the original numbers then you made a mistake.




Monday, November 11, 2013

SV#5 Unit J Concepts 3-4 Solving three variable systems using Gaussian Elimination

Please click to view my video here
When watching the video the viewer should pay attention to how i multiplied the first equation  by negative one so that it is switched however when using rref form i have to use the original problem. Also how to find the first zero i may use either the first or second row but to find the second zero i must use row 1 and to find the last zero i must use row 2 to help me. Also to find the stairstep ones i multiply by the inverse of the leading coefficient. We use rref form on our calculator to check if our answers are right. Dont forget to use the ORIGINAL equation and if there is no variable we put a zero. Our answer that is there should match up with what we got.

Sunday, November 3, 2013

SV #4 Unit I Concept 2:Graphing Logarithmic functions and identifying parts

Please click to watch my video here

They needs to pay attention to the the asymptote, as X creates a vertical line. Also, they must acknowledge that you have to exponentiate the log in order to solve for the x-intercept. They must know the difference between how to find h, and that it is opposite of what it is in the equation. Lastly, the viewer needs to understand how to plug in points into the calculator and how to use the log base formula. and use Ln when plugging it into the calculator.

SP3:Unit I Concept 1 Graphing functions and identifying x-intercept, y-intercept, asymptotes, domain, range

  Graphing functions and identifying x-intercept, y-intercept, asymptotes, domain, range

1) To solve these problems first you must identify the parts of the equation and label them. Since this is an exponential graph the asymptote is y=k. To find the x intercept you plug in y=0 however you must take notice if the graph will cross the x axis if not there will be none. To find the y intercept we use x=0 and solve. The domain is not restricted so it will be all real numbers, however our range is so it will depend on if the graph is above or below the asymptote.