#$&*
Mth 173
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
q012 Calc Initial Questions
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Actual Question: If at t = 100 seconds water is flowing out of a container at the rate of 1.4 liters / second, and at t = 150 second the rate is 1.0 liters / second, then what is your best estimate of how much water flowed out during the 50-second interval?
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I thought that I would use the equation rate=liters/seconds, so I found the number of liters at each time marker and averaged those two answers. I realize now that the amount of liters cannot exceed 1.4*50=70.
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Could I just do 1.2*50=60 Liters for the answer? I got the number 1.2 by averaging the two rates. Is there a different way to go about this problem?
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Since the rate changes linearly, the average of the two rates will be the average rate and your calculation has given you the correct result.
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#$&*
Mth 173
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
Limits in Rates of Change
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I am going through class notes #3, and underneath Average Rates of Change for Depth Functions, there are questions about finding limits: What is the limit of the result as the second clock time approaches 1?
How does this limit give us the instantaneous rate of change at clock time t = 1?
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I understand how to find the average rate of change for depth functions, but I do not understand how to find the limit of the result.
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How do you find limits for these depth change problems?
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You need to include a lot more information. Your question is too general.
You should address this question through a specific example, including all the details you do and do not understand.
I don't know if you are asking about an algebraic or a numerical example.
The best answer I can give you without more specific information is that you write down the expression for the average rate of change, then simplify it algebraically. You then ask what happens at t gets closer and closer to 1.
I doubt that will answer your question, and if not please submit another question with more details.
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You could for example include a copy of the part of the Class Notes about which you are asking.
Note that I can't provide detailed feedback to students if I'm looking back and forth between two or more documents, so all the descriptive information has to be in the document you submit.
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#$&*
Mth 173
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** Question Form_labelMessages **
Query 1 Confusion
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I'm working on Query 1, and the first questions are confusing me. Basically, the first question: qFor the temperature vs. clock time model, what were temperature and time for the first, third and fifth data points (express as temp vs clock time ordered pairs)? What temperature vs. clock time model? Are we supposed to make it up?
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The first of the exercises in Modeling Project 1 was a temperature vs. time model for a hot potato.
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I just don't know where the coordinates come from. I don't want to start this part of the query because it seems like many of the questions after this are based on this answer and I don't want to start off confused.
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