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Racer John McCarthy (providerone)
Race Number 443
Date Sat, 30 Jul 2022 04:36:21 +0000
Speed 105 WPM Try to beat?
Accuracy 98.0%
Rank 2nd place (out of 4)
Opponents enscarr (1st place)

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Calculus is a tool that helps us understand how a change in one quantity is related to a change in another. How does the speed of a falling object change as a function of time? How does the level of water in a barrel change as a function of the amount of liquid poured into it? We see change occurring in nearly everything we observe in the world and universe, and powerful modern instruments help us see more and more. In this section we introduce the ideas of average and instantaneous rates of change, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise developments of these important concepts in the next chapter, but for now we use an informal approach so you will see how they lead naturally to the main idea of this chapter, the limit. The idea of a limit plays a foundational role throughout calculus.
Thomas Calculus (book) by George B. Thomas, Jr (see stats)

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