course Phy 122 This was harder work than I thought it would be. p|x~PΝȷassignment #001
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22:23:35 `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 --> The first equation is where only the x is raised to the 2nd power where the second equation is where the x+4 is raised to the second power as denoted by the parenthesis. The first equation is 2^2+4 which is 4+4=8. The second is [2+4]^2 or 6^2=36 confidence assessment: 2
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22:26:04 2 ^ x + 4 indicates that you are to raise 2 to the x power before adding the 4. 2 ^ (x + 4) indicates that you are to first evaluate x + 4, then raise 2 to this power. If x = 2, then 2 ^ x + 4 = 2 ^ 2 + 4 = 2 * 2 + 4 = 4 + 4 = 8. and 2 ^ (x + 4) = 2 ^ (2 + 4) = 2 ^ 6 = 2*2*2*2*2*2 = 64.
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RESPONSE --> Ok so I read the exponential backwards where I thought the x was raised to the 2 instead of the 2 being raised to the powers. I had the right idea, just switched wich number was being raised. self critique assessment: 1
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22:36:57 `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 --> The numerator is x-3 the denominator is ((2x-5)^2*3x+1) because the -2+7x is not in the paranthesis. I'm not sure about the -2+7x being outside of the denominator but it is outside of the paranthesis which suggests its minus the fraction. The answer to first equation is (2-3)/((2x2)^2*3x2+1) which is 1/7 and then -2+7(2) which is 12.143. I am not sure on the order of operations that would go for this equation. confidence assessment: 0
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22:40:01 `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 --> This is still a little confusing of why the x is not included in the numerator and I completely did not get how to solve the denominator until the answer was shown. confidence assessment: 0
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12:47:55 *&*& 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 starting to realize the importance of doing all the work at once and writing things down because now I do not remember what the original question was. self critique assessment: 1
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