April 9
section covered in text:
3.3. Rates of Change in Natural and
Social Sciences
objective:
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to understand how to apply the concept of derivatives
to applications in physics, chemistry, biology and economics
key ideas and/or vocabulary
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average and instantaneous rate of change of y with respect to x
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solved problems - using key ideas
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physics and the law of motion, #1
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rate of change in area, #7
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rate of change in volume, #10
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computer chips, #5
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chemistry, #16
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population growth, Example 6 (similar to HW#18)
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ecology and population growth, #27 (similar
to HW#26)
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cost and marginal cost in economics, #21,22
group work
none
announcements
Homework. #2,4,12,18,24
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QUESTION OF THE DAY
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Let f(x) be the elevation in feet of the
Mississippi river x miles from its source. What are the units of
f'(x)? What can you say about the sign of f'(x)?
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SOLUTION
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SOLUTION.
The units of f'(x) are feet/mile.
The sign is negative since the function is decreasing.
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