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Racer Matthew (mattmad)
Race Number 3608
Date Thu, 26 Jan 2023 03:41:16 +0000
Speed 69 WPM Try to beat?
Accuracy 97.3%
Rank 4th place (out of 5)
Opponents 4ngel_999 (1st place) kairose (2nd place) oatmilf22 (3rd 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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