#$&*
course Mth 174
Here are the remaining ten questions:
*********************************************
Question: `q003. If you are earning 8 dollars / hour, how long will it take you to earn $72? The answer may well be obvious, but explain as best you can how you reasoned out your result.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: 9 hours. I came to this solution by dividing 72 by 8.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
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.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: (8+3) * 5 = 55, because you first add the 8 and 3 in the parentheses. You can then multiply 11 by 5.
8 + 3 * 5 = 23. Since there are no parentheses, 5 is multiplied by 3 first. The 8 can then be added.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
(2^4) * 3 = 48. First you raise 2 to the 4th power and then multiply 16 by 3.
2^(4 * 3) = 4096. For this one, you first multiply the 4 and 3 in the parentheses, giving you 12. You then raise the 2 to the 12th power, giving you 4096.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
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.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
3 * 5 - 4 * 3 ^ 2 = 15 - 4 * 3^2 = 15 - 4 * 9 = 15 - 36 = -21
3 * 5 - (4 * 3)^2 = 15 - 12^2 = 15 - 144 = -129
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
Question: `q007. Let y = 2 x + 3.
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
Y=2(-2)+3=
Y=2(-1)+3= 1
Y=2(0)+3=3
Y=2(1)+3 = 5
Y=2(2)+3 = 7 x y
-2 -1
-1 1
0 3
1 5
2 7
I solved for y by plugging in the correct number for the x variable. After the plotting the points on a graph, the dots lined up. It appeared to be linear.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
Question: `q008. Let y = x^2 + 3.
Solution:
When x= -2, Y= (-2)^2 +3 = 4+3 = 7
When x= -1, Y= (-1)^2 +3 = 1+3 = 4
When x= 0, Y= 0^2 +3 = 3
When x= 1, Y= 1^2 +3 = 4
When x= 2, Y=2^2 +3 = 4+3 = 7
x y
-2 7
-1 4
0 3
1 4
2
7
The graph appeared to be a parabola or quadratic.
Confidence Level: 3
Self-Critique: OK
*********************************************
Question: `q009. Let y = 2 ^ x + 3.
Solution:
When x=1, y= 2^1 +3 = 2+3 = 5
When x=2, y= 2^2 +3 = 4+3 = 7
When x=3, y= 2^3 +3 = 8+3 = 11
When x=4, y= 2^4 +3 = 16+3 = 19 x y
1 5
2 7
3 11
4
19
The graph appears to be exponent exponential because the y coordinates increase at a greater interval each time and the slope seems to rise.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
Question: `q010. If you divide a certain positive number by 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution:
The answer is always equal to the original number.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: 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?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: The answer depends on the original number.
For example, 2 divided by 2 equals 1. 4 divided by 2 equals 2.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Your solution: It does not matter what the original number is. If you divide a positive number by a smaller number, you will have less than the original number.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Self-Critique: OK
*********************************************
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.
This doesn't mean that you did a bad job. If you got most of the 'answers' right, you did fine.
However, in order to better understand the process, you are asked here to go back and find something in one of the given solutions that you did not address in your solution, and insert a self-critique. You should choose something that isn't trivial to you--something you're not 100% sure you understand.
If you can't find anything, you can indicate this below, and the instructor will point out something and request a response (the instructor will select something reasonable, but will then expect a very good and complete response). However it will probably be less work for you if you find something yourself.
Your response should be inserted at the appropriate place in this document, and should be indicated by preceding it with ####.
As an answer to this question, include a copy of whatever you inserted above, or an indication that you can't find anything.
your answer: vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
###
"
Self-critique (if necessary):
------------------------------------------------
Self-critique rating:
@& Instructions request that you insert your responses into a copy of the original web document. You appear to have eliminated some of the text from the original document.
The original text includes certain strings of characters that allow me to efficiently isolate your insertions from the rest of the text, allowing me to review much more student work, much more accurately, than would otherwise be possible.
These and other characters are also used as triggers in collecting databases of student responses, and in some instances the lack of these characters can cause your document not to post at all.
If so requested below, you should resubmit this document, and insert your responses into a complete, unaltered copy of the original document. If you are not specifically requested to do so on this document, it won't be necessary, but you should follow this practice on all future submissions.
It is also possible that you have submitted other documents in which you have removed information from the original, rather than inserting your responses into an unaltered copy of the document. If this is the case, you should resubmit those documents, with your responses copied into complete copies of the originals.
*@
@& 'I haven't been able to review this document as thoroughly as usual, but from what can easily locate you appear to understand.
You are welcome, if you wish, to insert your answers into a complete copy of the document and resubmit it, but if you understand everything this won't be necessary.*@