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course PHY 201
6/5 around 7:40
Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (type in your solution starting in the next line)
If earning $8 an hour you would figure out how much time it will take you to earn $72 by working the following equation: (x=amount of time)
8x=72
X=72/8
X=9 It would take 9hour to earn $72 at the rate of $8/hour.
Confidence Rating: 3
OK
Insert your 'OK' or your self-critique, as appropriate, starting in the next line:
OK
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Question: `q004. Calculate (8 + 3) * 5 and 8 + 3 * 5, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
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Your solution: (type in your solution starting in the next line)
(8+3)*5 and 3*5
11*5=55 Parenthesis is to be done first
8+3*5= 23 Multiplication is done before addition
The results are different because the grouping in the first expression dictates that the addition be done first.
confidence rating #$&*:
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Self-critique (if necessary): If you are sure your solution matches the given solution, and/or are sure you completely understand the given solution, then just type in 'OK'.
Ok
Insert your 'OK' or your self-critique, as appropriate, starting in the next line:
Ok
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Question: `q005. Calculate (2^4) * 3 and 2^ (4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates rising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution:
(2^4)*3
Solve the exponents first 2^4=16 then multiply solution by 3.
(2^4)*3=48
2^ (4*3)
The multiplication must be done to figure out the exponent 4*3=12 then solve 2^12.
2^ (4*3) =4096
confidence rating #$&*:
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Self-critique (if necessary):
Ok
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Question: `q006. Calculate 3 * 5 - 4 * 3 ^ 2 and 3 * 5 - (4 * 3) ^2 according to the standard order of operations, indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results.
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Your solution:
3*5-4*3^2
Exponents first 3*5-4*9
Multiplication 15-36=-21
3*5-(4*3) ^2
Normally the exponents are done first but in the case the parenthesis must be done before the ^ can be solved.
3*5-12^2
Now the exponent may be completed 12^2=144
3*5-144
15*144=-129
The parentheses make the solutions in these problems different.
confidence rating #$&*:
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Self-critique (if necessary):
Ok
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Self-critique Rating:
Ok
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Question: `q007. Let y = 2 x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y
-2 -1
-1 1
0 3
1 5
2 7
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution:
My graph is linear
Confidence Rating: 3
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Self-critique (if necessary):
Ok
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Self-critique Rating:
Ok
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Question: `q008. Let y = x^2 + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = -2. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values -1, 0, 1 and 2. Write out a copy of the table below. In your solution give the y values you obtained in your table.
x y
-2 7
-1 4
0 3
1 4
2 7
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution: The graph is quadratic or parabolic
confidence rating #$&*:
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Self-critique (if necessary):
Ok
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Self-critique Rating:
Ok
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Question: `q009. Let y = 2 ^ x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
Evaluate y for x = 1. What is your result? In your solution explain the steps you took to get this result.
Evaluate y for x values 2, 3 and 4. Write out a copy of the table below. In your solution give the y values you obtained in your table.
X y
1 5
2 7
3 11
4 19
Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
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Your solution:
This graph gets steeper and steeper. It would be exponential.
confidence rating #$&*:
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Self-critique (if necessary):
Ok
Self-critique Rating:
Ok
Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: If a positive number is divided by 1 then the result is equal to the original number.
confidence rating #$&*:
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Self-critique (if necessary):
Ok
Ok
Question: `q011. If you divide a certain positive number by a number greater than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: If you divide a certain positive number by a number greater than 1, the result is less than the original number. This happens because you breaking the original “whole” into “parts”.
confidence rating #$&*:
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Self-critique (if necessary):
Ok
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Self-critique Rating:
Ok
Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: If you divide a positive number by less than one the result will be greater than the original number.
confidence rating #$&*:
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Self-critique (if necessary):
### I have basically the correct answer to this problem, but was unable to correctly explain why the solution will be greater than the original number. I do understand that when the divisor is small, the solution will be bigger than the original.
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Question: `q013. Students often get the basic answers to nearly all, or even all these questions, correct. Your instructor has however never seen anyone who addressed all the subtleties in the given solutions in their self-critiques, and it is very common for a student to have given no self-critiques. It is very likely that there is something in the given solutions that is not expressed in your solution.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
### I have basically the correct answer to this problem, but was unable to correctly explain why the solution will be greater than the original number. I do understand that when the divisor is small, the solution will be bigger than the original.
"
Self-critique (if necessary):
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Self-critique rating:
Ok
Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution: If you divide a positive number by less than one the result will be greater than the original number.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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Self-critique (if necessary):
### I have basically the correct answer to this problem, but was unable to correctly explain why the solution will be greater than the original number. I do understand that when the divisor is small, the solution will be bigger than the original.
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Question: `q013. Students often get the basic answers to nearly all, or even all these questions, correct. Your instructor has however never seen anyone who addressed all the subtleties in the given solutions in their self-critiques, and it is very common for a student to have given no self-critiques. It is very likely that there is something in the given solutions that is not expressed in your solution.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
### I have basically the correct answer to this problem, but was unable to correctly explain why the solution will be greater than the original number. I do understand that when the divisor is small, the solution will be bigger than the original.
"
Self-critique (if necessary):
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Self-critique rating:
#*&!
&#This looks good. Let me know if you have any questions. &#