course Phy 202 `諸NxԆЁassignment #001
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H몎O|q assignment #001 001. typewriter notation qa initial problems 05-31-2007
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12:54:17 `q001. Explain the difference between x - 2 / x + 4 and (x - 2) / (x + 4). The evaluate each expression for x = 2.
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RESPONSE --> Order of operations is the difference between these two equations. For the first equation, x-2/x+4, substituting 2 for x gives 2-(2/2)+4=5. For the second equation (x-2)/(x+4), substituting 2 for x gives (2-2)/(2+4)=(0/6)=0. confidence assessment: 3
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13:18:27 `q002. Explain the difference between 2 ^ x + 4 and 2 ^ (x + 4). Then evaluate each expression for x = 2. Note that a ^ b means to raise a to the b power. This process is called exponentiation, and the ^ symbol is used on most calculators, and in most computer algebra systems, to represent exponentiation.
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RESPONSE --> Order of operations is the difference between these two equations. In the first equation 2 ^ x + 4, substituting 2 for x gives 2^2+4=8. You have to carry out the exponents before adding. In the second equation 2 ^ (x + 4), substituting 2 for x gives 2^(2+4)=2^6=64. Here you have to do the addition in the parenthese first and then carry out the exponentiation. Enter, as appropriate, an answer to the question, a critique of your answer in response to a given answer, your insights regarding the situation at this point, notes to yourself, or just an OK. Always critique your solutions by describing any insights you had or errors you makde, and by explaining how you can make use of the insight or how you now know how to avoid certain errors. Also pose for the instructor any question or questions that you have related to the problem or series of problems. confidence assessment: 3
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13:50:40 `q003. What is the numerator of the fraction in the expression x - 3 / [ (2x-5)^2 * 3x + 1 ] - 2 + 7x? What is the denominator? What do you get when you evaluate the expression for x = 2?
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RESPONSE --> Numerator= - 3 Denominator=[ (2x-5)^2 * 3x + 1 ] x - 3 / [ (2x-5)^2 * 3x + 1 ] - 2 + 7x (where x=2)=13.57 Order of operations is what I used to determine the numberator and denominator and also the answer to the equation when x=2. It has been so long since I have had algebra, that I really have to stop and think about what I have to do first, especially when it came to determining the numberator...at first I included the x, but then realized that it was only -3. confidence assessment: 2
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16:25:00 `q004. Explain, step by step, how you evaluate the expression (x - 5) ^ 2x-1 + 3 / x-2 for x = 4.
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RESPONSE --> to evaluate the expression (x - 5) ^ 2x-1 + 3 / x-2 for x = 4: I first re-wrote the expression to look like (x-5)^(2x)-1+(3/x)-2. Then I replaced all the x's w/4 for the equation to look like (4-5)^(2*4)-1+(3/4)-2. Then I evaluated what was in grouped in parenthese to be (-1)^8-1+(3/4)-2. Next I exponentiated the (-1)^8 to be equal to +1 and then followed the addition and subtraction as they occurred. I found the answer to be=1-1+(3/4)-2=(3/4)-(8/4)=(-5/4) or -1.25 I am not completely sure this is the proper way to go about this, but I think I followed the order of operations properly. confidence assessment: 2
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16:43:08 *&*& Standard mathematics notation is easier to see. On the other hand it's very important to understand order of operations, and students do get used to this way of doing it. You should of course write everything out in standard notation when you work it on paper. It is likely that you will at some point use a computer algebra system, and when you do you will have to enter expressions through a typewriter, so it is well worth the trouble to get used to this notation. Indicate your understanding of the necessity to understand this notation.
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RESPONSE --> I understand the necessity of both the standard and computer/typewriter notation. self critique assessment: 3
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16:52:02 `q005. At the link http://www.vhcc.edu/dsmith/genInfo/introductory problems/typewriter_notation_examples_with_links.htm (copy this path into the Address box of your Internet browser; alternatively use the path http://vhmthphy.vhcc.edu/ > General Information > Startup and Orientation (either scroll to bottom of page or click on Links to Supplemental Sites) > typewriter notation examples and you will find a page containing a number of additional exercises and/or examples of typewriter notation.Locate this site, click on a few of the links, and describe what you see there.
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RESPONSE --> On the typewriter notation practice page, I found links to exercises to practice translation of standard notation to typewriter notation and vice versa. I'm sure this will be very useful, considering that I did have trouble with the translations. confidence assessment: 3
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16:55:32 You should see a brief set of instructions and over 30 numbered examples. If you click on the word Picture you will see the standard-notation format of the expression. The link entitled Examples and Pictures, located in the initial instructions, shows all the examples and pictures without requiring you to click on the links. There is also a file which includes explanations. The instructions include a note indicating that Liberal Arts Mathematics students don't need a deep understanding of the notation, Mth 173-4 and University Physics students need a very good understanding,
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RESPONSE --> I have looked at these links described and will use them for practice. self critique assessment: 3
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