Unit I Student Problem 3
Unit I Student Problem 4
Unit J Student Problem 5
In this unit I created and solved a problem for PFD which stands for Partial Fraction Decomposition. First I start by adding the numerators together via Algebra 2 skill in which I multiply the numerators and the denominators by which terms they are missing from the denominator. After I have done that I then separate the original problems using variables such as A,B,and C for the numerator instead of the original numbers. I then make the common denominator the same way i did to the previous step. The next step is to add all the like terms and put them equal to the numerator that I have found when I solve for the common denominator. After you remove the x^2 and x so that you can solve for A,B, and C.I notice that there is one variable that I can easily solve for, I solve for it. Before I plug in the variable that I already have I first eliminate a variable from the two previous equations. I do this by multiplying a constant if needed. After I have removed a variable I can now plug in the term that I had found earlier and solve for the second term. I now have two terms and can plug both of them into any of the original three equations that I have constructed. After plugging them in and solving for the last variable I can check my answer if it matches the original equation that I had constructed in the beginning of the problem.
Unit J Student Problem 6
In this unit I created and solved a problem for PFD which stands for Partial Fraction Decomposition. First I start by adding the numerators together via Algebra 2 skill in which I multiply the numerators and the denominators by which terms they are missing from the denominator. After I have done that I then separate the original problems using variables such as A,B,and C for the numerator instead of the original numbers. I then make the common denominator the same way i did to the previous step. The next step is to add all the like terms and put them equal to the numerator that I have found when I solve for the common denominator. After you remove the x^2 and x so that you can solve for A,B, and C.I notice that there is one variable that I can easily solve for, I solve for it. Before I plug in the variable that I already have I first eliminate a variable from the two previous equations. I do this by multiplying a constant if needed. After I have removed a variable I can now plug in the term that I had found earlier and solve for the second term. I now have two terms and can plug both of them into any of the original three equations that I have constructed. After plugging them in and solving for the last variable I can check my answer if it matches the original equation that I had constructed in the beginning of the problem.
Unit K Student Problem 7
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| In this problem I created a repeating decimal and solved it to be a rational fraction. First I started by listing the repeating numbers, then I proceeded to find a1 and "r". To find a1 it is the first number that I listed and converted it to a fraction, to find "r" I divided the first term by the second. Next, I then wrote out my infinite summation formula plugging in the a1 and "r" as i go. To solve for the geometric series the formula is: "a" sub 1 divided by 1 minus "r". After plugging in the numbers and solving I notice that the equation has a number in front of the decimal. To solve for this simply add the number to the fraction that you had received to solve for the rational fraction of the repeating decimal. |
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