course MTH 158 FiMoJassignment #001
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10:53:36 `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 --> The difference is the order in which you solve the problem. (Order of operations) x-2/x+4 = 2 - 2 / 2 + 4 = 2 - 1 + 4 = 1 + 4 = 5 (x-2) / (x + 4) = (2-2) / (2+4) = 0 / 6 = 0 confidence assessment: 3
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ś}ж^} assignment #001 001. typewriter notation qa initial problems 05-15-2009
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11:06:13 `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. We always do ( ) first, then exponents, and multiplication and division before addition and subtraction 2^2 + 4 = 8 2^(2+4)= 2^6 = 64 confidence assessment: 3
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11:24:34 `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 = x-3 Denominator= [(2x-5)^2 * 3x + 1 ]-2 + 7x 2-3/[(4-5)^2 * 6+1] -2 + 14 -1/{1*6+1]-2 + 14 -1/7 - 2 + 14 -1/19 confidence assessment: 2
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11:43:17 `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 --> First we put in 4 for the variable x to read (4-5)^2 * 4 - 1 + 3/4 -2 (-1)^2 * 4 - 1 + 3/4 - 2 First do parentheses 1 * 4 - 1 + 3/4 - 2 Then do the exponents 4 - 1 + .75 - 2 Then we multiply and divide 3 + .75 - 2 The we do addition and subtraction in the order from left to right 3.75 - 2 = 1.75 confidence assessment: 2
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11:46:39 *&*& 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 am getting use to this notation. Its something I havent used before but I think I can figure it out self critique assessment: 2
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11:50:43 `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 --> Standard notation and examples of typewriter notation. Pictures showing the difference confidence assessment: 3
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You then start the process over with the next question, clicking on the Next Question/Solution button at top left, etc. &#