WPP#10 Unit L Concepts 9-14: Probability

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WPP#9: Unit L Concept 4-8- Calculating combination and permutations

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Unit K Concept 10: SP#6

You need to pay special attention when converting the a sub 1 or first number into a fraction and also the common difference or r. The common difference is found by dividing the second term and the first term. Then plug in the numbers into the equation and in the end remember to add the whole number. 

Fibonacci Haiku

Twisted

Long

Curvy path

Mind is lost

Where do I go next?

Who will I meet at the very end?

Darwins_Thinking_Path.JPG

SP#5: Unit J Concept 6-Partial decomposing with repeated fractions

The viewer needs to pay special attention to the signs in the problem in order to make sure that they distribute negatives correctly. Notice that I did not use the calculator to find the RREF instead I used the elimination method. It would be helpful to check your work afterwards in order to assure you have the right answers.

SP#4 Unit J Concept 5: Partial Fraction Decomposition with Distinct Factors

The viewer needs to pay attention to how they add and subtract the variables and assure that they are not making an error because it can throw off the answer. Also, they need to make sure to keep all their work organized and replace numbers with words in order to set up a system.

SV#5 - Unit J Concept 3-4:Solving three-variable systems

The viewer needs to pay special attention what row they use to get the triangle of zeroes which is usually the row on top. Also they need to make sure that they distribute the negative correctly. Lastly, you must make sure to add and subtract numbers correctly. Below is the video to see how to use the calculator.

WPP#5: Concepts 3-5 Compound Interest, Continuously Compounding Interest, and Investment Application Problems

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SV#4 Unit I Concept 2- Graphing Logarithmic Functions

You need to pay attention to the change of base in order to get the right equation to plug into your calculator. You also need to ensure that you know how to identify the terms in order to get the right vertical asymptote. Remember that for this problem the range is all real numbers and the the domain is from the vertical asymptote or the h-value to positive infinity.

SP#3: Unit I Concept 1: Graphing Exponential Functions

The viewer needs to pay attention that the problem has no x-intercept because you can not take the natural log of a negative number. The asymptote of 1 and the a value of 3(being positive) makes it unable to have x-intercepts as well. You also need to pay attention to the k value becoming the asymptote and the limit for the range of the problem.

SV#3: Unit H Concept 7- Finding logs given approximations

Throughout the problem, you need to pay attention to the factors chosen to get the same variable answers as I did. Also, you need to make sure that the answer is written in the power law form where the exponents go in the right place. Be sure to subtract (divide) and add (multiply) accurately.

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

This video is about solving a rational function by finding the slant asymptote, the vertical asymptotes, and the holes. Also, you have to find the domain, the x-intercepts, and the y-intercepts. The problem also involves writing the answers in proper notation and as points to be plotted on the graph.

The viewer has to pay special attention to the division part of the problem by adding the missing terms into the equation. Also, the viewer has to pay attention to the corrected hole y-values that I got by plugging in the hole value to the simplified equation. It would help to pay attention to the values that you are meant to use whether it is the numerator or the denominator.

SV#1: Unit F Concept 10 - Finding all real and imaginary zeroes of a polynomial

This problem is about finding the zeroes of a polynomial equation. You find the p's and the q's in order to find the possible zeroes values. You also use the Descartes Rules of Signs to find how many positive and negative real zeroes there are. Then you use synthetic division to factor the polynomial into a quadratic which you would plug in to the quadratic equation and find the zeroes.

One of the things to pay close attention to is the signs used in order to solve the problem, In other words, you need to make sure to distribute the negative accurately. You need to make sure to write the imaginary zeroes involving the "x" in the problem.

SP#2: Unit E Concept 7 - Graphing a polynomial and identifying all key parts

This problem is about  graphing a polynomial. In order to graph the polynomial, you must first factor out the equation. Once, you have the factors you must find the zeroes which are also called the x-intercepts. Then using the leading coefficient it tells you if it is positive or negative and the exponent tells you if it is odd or even which signify the end behaviors of the graph. The y-intercept is found by plugging in zero in all the "x" places.

You need to pay careful attention to the x-intercepts with the multiplicities in order to graph the equation correctly. If the multiplicity is one, then the graph goes through the x-axis. However if the multiplicity is two, then the graph bounces off the x-axis.

WPP#4: Unit E Concept 3 - Maximizing Area

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WPP#3: Unit E Concept 2 - Path of Football (or other object)

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SP#1: Unit E Concept 1 - Graphing a quadratic and identifying all key parts

This problem is about how to graph a quadratic equation and finding the parent function equation. The parent function equation can be found by completing the square and equaling it to y. The vertex is the (h,k) of the parent function f(x)= a(x-h)²+k which is (2,4) in this equation and determine whether it is a maximum or minimum. The y-intercept is found by plugging in zero to all the x-values in the original equation and solving. The axis of symmetry is x=h, which divides the parabola in half. The x-intercepts are found by solving for the parent function.

You need to pay special attention to the signs of operation whether it is addition or subtraction in the problem. Also, be aware of the order of operation in order to get to the answer. You also need to pay attention that there are three possible points on the graph because there is no imaginary x-intercepts.

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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