Official speed |
110.60 wpm (93.74 seconds elapsed during race) |
Without ending ping |
110.68 wpm (67 ms delay sending score to TypeRacer’s server) |
Timerless |
111.13 wpm (376 ms elapsed before first character typed; 93.30 seconds elapsed during race) |
Timerless minus one |
111.00 wpm, ignoring the first character typed |
Race Start |
January 19, 2024 11:05:22pm UTC |
Race Finish |
January 19, 2024 11:06:56pm UTC |
Outcome |
Win (1 of 3) |
Accuracy |
97.8% |
Points |
298.61 |
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. |
Characters typed |
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 thtee level of water in a barrel change as a function of the amount of liquid pouried into it? We se cha ecah e change occurring in nearly everything we sobserve in teh worhe world and universe, and powerful modern instruments help us see more and more. I n this section we introduce the ieadeas of average and instanteaneous rates of changes, and show that they are closely related to the slope of a curve at a point P on the curve. We give precise edevelopments of these important concepts in th ee next chapter, but for now wse use use an informal approach so you will see how hthey lead naturally to the main aidea of this chapter, the limit. The diidea of a limti pit plays a foundational frole throughout calculus. |
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220 |
99 |
72 |
Character |
l |
e |
|
t |
h |
r |
o |
u |
g |
h |
o |
u |
t |
|
c |
a |
l |
c |
u |
l |
u |
s |
. |
Milliseconds |
161 |
87 |
50 |
173 |
46 |
80 |
72 |
71 |
48 |
50 |
91 |
80 |
51 |
149 |
171 |
100 |
60 |
130 |
89 |
101 |
139 |
118 |
112 |
|
WPM Timing |
Seconds |
WPM |
1.87 |
57.6 |
3.75 |
92.81 |
5.62 |
102.41 |
7.5 |
112.01 |
9.37 |
119.05 |
11.25 |
128.01 |
13.12 |
129.84 |
15 |
131.21 |
16.87 |
131.57 |
18.75 |
126.09 |
20.62 |
125.68 |
22.5 |
126.41 |
24.37 |
127.52 |
26.25 |
123.89 |
28.12 |
120.76 |
30 |
113.21 |
31.87 |
113.33 |
33.75 |
115.21 |
35.62 |
113.86 |
37.5 |
111.37 |
39.37 |
111.55 |
41.25 |
112.88 |
43.12 |
113.54 |
45 |
113.87 |
46.87 |
114.18 |
48.75 |
112.01 |
50.62 |
113.31 |
52.5 |
111.78 |
54.37 |
111.01 |
56.25 |
111.58 |
58.12 |
111.9 |
60 |
112.41 |
61.87 |
112.69 |
63.75 |
112.57 |
65.62 |
111.73 |
67.5 |
112.19 |
69.37 |
112.61 |
71.24 |
111.67 |
73.12 |
111.76 |
74.99 |
110.09 |
76.87 |
110.21 |
78.74 |
110.79 |
80.62 |
110.74 |
82.49 |
111.28 |
84.37 |
111.37 |
86.24 |
111.59 |
88.12 |
110.99 |
89.99 |
110.14 |
91.87 |
110.24 |
93.74 |
110.6 |
|