# Chapter 5.1 - Left-Handed Sum • OverestmaTe when is...

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Visualizing Distance on the Velocity Graph

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Visualizing Distance on the Velocity Graph
Visualizing Distance on the Velocity Graph If , distance traveled is the area under the curve!

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Left and Right Sums Let be a velocity function. To estimate the distance traveled on : 1. Partition into intervals of equal width: •. Two choices: Left-Handed Sum and Right-Handed Sum

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Unformatted text preview: Left-Handed Sum • OverestmaTe when is decreasing. • UnderestmaTe when is increasing. • Right-Handed Sum • UnderestmaTe when is decreasing. • OverestmaTe when is increasing. • Accuracy of Estimates • For strictly increasing [or decreasing] funcTons, we can have the following formula:...
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