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Thursday, November 21, 2013

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

The viewer needs to pay special attention to adding the variables that correspond with eachother. Make sure you add or subtract them correctly. The denominators must be all be common. Make sure that when you set up your A,B and C fraction, that on the repeating factor you count up! When using the rref function, make sure it is input properly.

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


The viewer needs to pay special attention to the series of steps it takes to decompose then to compose the problem back together. Notice the answer boxed on the bottom of the page matches the equation we first started with, 1-x+3 -3/x+1 +4/x+2. Pay special attention to the distribution to the factors after having found the common denominator. Be careful when using rref to find the solution, make sure it is plugged in correctly into your calculator.

SV#5: Unit J Concepts 3-4: Solving Three-Variable Systems with Gaussian Elimination


The viewer needs to pay special attention to the four steps of the Gaussian Elimination. Make sure you have plugged in the system correctly into your matrix. Look over that your adding/subtracting is done correctly so no simple mistakes are done. The end where you find each value, make sure that you check on your calculator using rref to make sure your answers are correct. Always double check to make sure each step was done correctly and followed the steps to the Gaussian Elimination.

Monday, November 11, 2013

SV #2: Unit G Concepts #1-7: Finding all parts and graphing rational functions


The viewer needs to pay special attention to the way the asymptote affects the graph and sets the boundaries for our graph. The points that we find must correspond with the asymptote. The slant asymptote must also make sense on the graph. Also, pay attention to the holes in our graph. Remember where the domain comes from (DIVAH).

Tuesday, November 5, 2013

SV #4: Unit I Concept 2: Graphing Logarithmic Functions



Please pay special attention to how i found my key points and how I plugged the equation into the y= screen. Also notice how the range is not restricted but the domain is. Also notice where the asymptote comes from and how the graph should not cross the asymptote boundary.
The trickiest part would probably be plugging the equation to find the key points. You have to remember to take the ln of the log because it is not base 10. Another tricky part is making sure your points make sense on the graph and correspond to the asymptote.