Welcome to SergioS's Math Analysis Blog
Welcome to SergioS's Math Analysis Blog
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Monday, December 9, 2013
SP#6 Unit K Concept 9 - Finding Sums of Finite Geometric Series
Something that the viewers should be careful with, is finding the "r". It is also important to be careful when getting rid of the denominator by multiplying its inverse. When dividing both the numerator and denominator by 3, all we do is simplify it. It's not extremely necessary, but it just makes the numbers smaller. When adding the 2, you multiply 333 to both the top and the bottom, and then you leave it as a fraction.
Thursday, November 28, 2013
Fibonacci Haiku: Steel Type
http://www.earache.com/bands/napalm_death/navigation/napalmimage.jpg |
Underground
Extreme
Harsh vocals
Not very mainstream
These words describe my music
But it is not for the everyone out there
Monday, November 18, 2013
SP#5 Unit J Concept 6 - Partial Fraction Decomposition with Repeating Factors
Something that the viewer has to be careful with, is factoring the numerator. If a mistake is made here, you will have a lot of difficulty finding your mistake. Also, when you find the values of A B C and D, you need to combine the equations in order to cancel out variables.
Saturday, November 16, 2013
SP#4: Unit J Concept - Partial Fraction Decomposition
Hey guys, Sergio here. Something that the viewer should keep in mind when doing this, is that you must be careful when distributing the variables "A, B, and C". If you are not careful when distributing, then your answer will be compromised, and you will have difficulties. You would probably have to go over your work for minutes upon minutes to find where you made a mistake.
Monday, November 11, 2013
SV# 5 Unit J Concept 3 - Matrices
Hi guys, Sergio here. Something that the viewer definitely has to be careful with, are the signs in the matrices. If a mistake is made when putting in the signs (such as accidentally putting down a -7 instead of a +7, or putting a +1 instead of -1, then you will have some trouble. Small mistakes like these can easily lead you to an incorrect answer, which will in turn just make it much harder to find what you did wrong.
Wednesday, October 30, 2013
WPP# 6 Unit I Concepts 3-5 - Compounding Interest
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Saturday, October 26, 2013
SV#4 Unit I Concept 2 - Graphing Logarithmic Functions
Hi guys, Sergio here. Something the viewers should remember when doing this problem, is that the asymptote is x=h. Not only that, but when you give the asymptote, you have to switch the sign of your h. This is important, because if you give the wrong asymptote, then you might not have a y-intercept in a problem where you should, and etc. Always remember that range has no restrictions, and the
Thursday, October 24, 2013
SP#3 Unit I Concept 1 - Graphing Exponential Functions
Hi I'm Sergio, and this is SP#3 Unit I Concept 1. Okay, first of all, I'd like to point out that one of the most important things to remember about this problem is that the asymptote is always y=k. also, I think it might be good to remember that the third x-key point graphed is x=h. We must remember, however, that "h" is always the opposite of the way it is in the equation. By this, I mean that if "h" is, for example +1 in the equation, then you plot -1. Yeah we must also keep in mind that the domain has no restrictions, and the range is written out with x being the lowest value (- infinity), and y being the highest value possible. In this problem, that value is -4, because it is our asymptote, and we absolutely CANNOT go over it. EVER. Well, thanks for your time, everyone!
Thursday, October 17, 2013
SV#3 Unit H Concept 8 - Finding logs when given aproximations
Something that the viewer should be aware of, is that I messed up with my verbal explanation with the end result. We must always remember that if the logs are divided, then in our answer, they must be subtracted. Also, remember to switch in the letters for the logs and remember that we must include the "hidden hint" in the problem.
Sunday, October 6, 2013
SV#2 Unit G Concepts 1-7 - Finding all parts and graphing a rational function
Hi this is Sergio from Period 4. This video covers concepts 1-7 from our SSS Unit G packets. First of all, I want to point out that in my video, I forgot to mention the Vertical Asymptote's limit notation. The limit notation is as follows. As x--> 1 from the right side, f(x)--> negative infinity, AND as x-->1 from the left side, f(x)--> positive infinity.
I also want to point out that the video is, ONCE AGAIN, in 240p (I know, it's terrible) because it was taking way too long to upload in sparkling 1080p. Other than that, and the shakiness of the video, I think everything else is okay. THANKS FOR WATCHING GUYS!!!
Sunday, September 29, 2013
SV#1 Unit F Concept 10 - Finding all real and imaginary zeros of a polynomial
Hi this is Sergio from Period 4, and this is Unit F Concept 10. Okay so the first thing you do is that you wanna find the "p's and the q's" and set the up. The next thing you do is use Descartes's Rule of signs. You will find that the possible (+) zeros are 2 or 0, and the possible (-) zeros are 2 or 0 as well. Now, you wanna use synthetic division to find your Zero Heros (or is it Heroes?). Anyways, after you do this, you will end up with a quadratic.
After you get a quadratic, you wanna take out the GCF and then plug your values into the quadratic equation. After you plug it in, you should get your zeros and your fully factored form of the zeros. THANKS FOR WATCHING GUYS!!!!!!!!!!!
Sunday, September 15, 2013
SP#2 Unit E Concept 7 - Graphing a polynomial and identifying all key parts
This problem deals with graphing a given equation, as well as finding its factored form, its end behavior, its y intercept, and its x- intercepts with the x-intercepts' multiplicities. As you can tell, the end behavior is "even positive", so both ends point upwards (positive infinity).
Some important information that the reader should have in mind is that since we have multiplicity of "1" for all the x-intercepts, you go THROUGH the x axes. Other than this, everything else seems okay.
Wednesday, September 11, 2013
WPP#4 Unit E Concept 3 - Maximizing Area
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Monday, September 9, 2013
SP#1 Unit E Concept 1 - Graphing a quadratic and identifying all key parts
This problem deals with trinomials, and trying to graph them by trying to find their separate parts, such as the vertex, y-intercept, the axis of symmetry, and the x-intercepts. By simplifying the trinomial, we find the parent function function equation. By doing this, we make it easier to graph the trinomial.
I think the reader should have in mind that we cannot graph imaginary number AT ALL in these graphs. The most important step in these problems is completing the square. We must be able to do this as easily as finding the slope when given two points. Also, we must write that "x=3" for the axis of symmetry, and not just write "3", because it will considered incorrect. THANKS!!!!
WPP#3 Unit E Concept 2 - Path of football (or other object)
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Monday, September 2, 2013
WPP#2: Unit A Concept 7 - Profit, Revenue, Cost
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WPP#1: Unit A Concept 6 - Linear Models
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