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course MTH163
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.
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Your solution: 72 hours divided by $8/ hour = 9 hours
confidence rating #$&*:
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Self-critique (if necessary): ok
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Self-critique Rating: 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: (8+3)*5 = 55 , you will calculate (8+3) first and then multiply that by 5.
8+3*5= 23 , multiply 5*3 and then add 8.
confidence rating #$&*:
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Self-critique (if necessary): 'OK'.
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Self-critique Rating: OK
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Question: `q005. Calculate (2^4) * 3 and 2^(4 * 3), indicating the order of your steps. Explain, as best you can, the reasons for the difference in your results. Note that the symbol '^' indicates raising to a power. For example, 4^3 means 4 raised to the third power, which is the same as 4 * 4 * 4 = 64.
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Your solution: 2^4 =16 *3 =48 , first I calculate the problem inside the parentheses and then the problem outside.
2^(4*3) = 4096 , 4*3 equals 12 so the problem then reads 2^(12) which equals 4096
confidence rating #$&*:
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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: I complete each equation separately. First 3*5- 4*3^2 , complete the exponent first which is 9, then multiply, 15-36 = -21.
The next equation, 3*5 - (4*3)^2, complete the parenthesis first, this will be 12^2 =144. Next complete the multiplication 15-144=- 129.
confidence rating #$&*:
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Self-critique (if necessary): ok
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Self-critique Rating: ok
In the next three problems, the graphs will be of one of the basic shapes listed below. You will be asked to construct graphs for three simple functions, and determine which of the depicted graphs each of your graphs most closely resembles. At this point you won't be expected to know these terms or these graph shapes; if at some point in your course you are expected to know these things, they will be presented at that point.
Linear:
Quadratic or parabolic:
Exponential:
Odd power:
Fractional positive power:
Even negative power:
partial graph of polynomial of degree 3
more extensive graph of polynomial of degree 3
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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.
• 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:
I solved the equations by replacing (x) with the figures provided and then simplifying.
x y
-2 -1
-1 1
0 3
1 5
2 7
I know how to graph the points on a graph, just not sure how you want us to do it. Do you want me to draw it and scan/email? I sketched a graph on my note pad and my graph looks like more extensive graph of polynomial of degree 3
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You sketch the graph on paper, and email me a description.
The values you show would all lie along a straight line.
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confidence rating #$&*:
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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.
• 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:
I solved the equation by entering the number given for x and then simplify. I drew my graph on a sketch pad. partial graph of polynomial of degree 3
x y
-2 7
-1 4
0 3
1 4
2 7
confidence rating #$&*:
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Self-critique (if necessary): 3
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Self-critique Rating: 3
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Question: `q009. Let y = 2 ^ x + 3. (Note: Liberal Arts Mathematics students are encouraged to do this problem, but are not required to do it).
• Evaluate y for x = 1. What is your result? In your solution explain the steps you took to get this result.
• Evaluate y for x values 2, 3 and 4. Write out a copy of the table below. In your solution give the y values you obtained in your table.
• Sketch a graph of y vs. x on a set of coordinate axes resembling the one shown below. You may of course adjust the scale of the x or the y axis to best depict the shape of your graph.
• In your solution, describe your graph in words, and indicate which of the graphs depicted previously your graph most resembles. Explain why you chose the graph you did.
Your solution:
To solve I replaced x with the values given and simplified. My graph looks linear.
x y
1 5
2 7
3 11
4 19
confidence rating #$&*:
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Self-critique (if necessary): ok
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Self-critique Rating: ok
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This graph will not be linear.
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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: Any number positive or negative divided by 1 = that number. Example 1/1=1, -1/1=-1
Confidence Rating: 3
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Self-critique (if necessary): ok
Self-critique Rating: ok
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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: In my opinion if you are dividing something you are making portions smaller, therefore if you divide a positive number by any number other then 1 then you will get a smaller number then your original number.
confidence rating #$&*:
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Self-critique (if necessary): ok
Self-critique Rating: ok
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Question: `q012. If you divide a certain positive number by a positive number less than 1, is the result greater than the original number, less than the original number or equal to the original number, or does the answer to this question depend on the original number?
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Your solution:
If you divide a positive number by 0 you get an error, if you divide by a negative number it will make the solution negative.
confidence rating #$&*:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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Self-critique (if necessary): ok
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Self-critique Rating: ok
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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.
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
Im not clear on what you want us to enter in self critique.
"
Self-critique (if necessary):
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Self-critique rating:
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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.
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
Im not clear on what you want us to enter in self critique.
"
Self-critique (if necessary):
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Self-critique rating:
#*&!
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I've inserted a couple of notes, but your document is incomplete (per the note just below this one). It should be pretty easy for you to correct that, per my note.
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`` Documents are to be submitted by inserting your responses into the original.Nothing from the original document is to be deleted.
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It takes only a couple of minutes to insert your responses into a copy of the complete document. Please do so and resubmit any documents on which you have deleted parts of the original.
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