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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 **
Question on Grades
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I am really confused on how this class is graded. Do we have to turn in all the qa's and the queries? And does it matter which day of the week we turn everything in?
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Be sure to see the grading policy in your Course of Study/Syllabus.
It's best to turn the assignments in as you complete them.
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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 (Once Again...)
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Here is my original question that I have already submitted In 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?
I thought this was pretty clear since it was the only limit question about limits under that heading, but I guess not. So here is exactly where it was:
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I need to see everything in one document. I often have hundreds of files to review, and I need to concentrate on providing feedback without the distraction of having to navigate to various sites and documents. So while your reference was indeed clear, in order to respond without taking unnecessary time from my primary task I need the information you've provided here.
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underneath the picture of:
y=3t^2-34t-8
t=1 => y=-39cm t=2 => y=-64cm
t=1 => y=-39cm t=1.01 => y=-39.2797cm
(change in y)/(change in t)=(-64--39cm)/(2-1s)=approx-25/1=approx-25 (cm/s)
(change in y)/(change in t)=(-39.2797--39)/(1.01-1)=approx(-.2797/.01)= approx -27.97 cm/s
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Please just help me with the two questions already stated above:
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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As the second clock time changed from 2 to 1.01, the average rate appears to have changed from 25 cm/s to nearly 28 cm/s.
So that second time is approaching 1, and you have seen the resulting change in the rate.
You could calculate the rate if the second clock time was 1.01, then 1.001, etc.. It wouldn't take many such calculations to arrive at a conjecture about the limiting value at that clock time approaches closer and closer to 1.
If this doesn't clarify the situation, please follow up with additional questions.
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