4.4 Mean Value Theorem and Units in Word Problems
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5 Terms
1
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What's being measured: Acc quantity (value at a specific time)
Units: Whatever is being measured (°F, $, m)
f(t)
2
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What's being measured: rate of change
Unit: Unit of f/time
What it tells you: how fast f(t) is increasing/decreasing
f′(t)
3
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What's being measured: accumulated amount of f(t) overtime
Unit: unit of F x time (°F·min)
4
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What's being measured: value it changed by bet. time a → b
Unit: same as f(t) -whatever's being measured
5
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What's being measured: average value of f(t) from time a to b
Unit: same as f(t) -whatever's being measured
Note 
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