View Pit Stop page for race #5879 by gaurav_mali_26 — Ghost race
View profile for Gaurav Mali (gaurav_mali_26)
| Official speed | 98.06 wpm (105.73 seconds elapsed during race) |
|---|---|
| Race Start | June 17, 2023 11:58:28am UTC |
| Race Finish | June 17, 2023 12:00:14pm UTC |
| Outcome | No win (4 of 4) |
| Opponents |
1. poem (126.95 wpm) 2. varaug33 (111.48 wpm) |
| Accuracy | 97.0% |
| Points | 264.76 |
| Text | #4940058 (Length: 864 characters) 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. |